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  • 1
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 223-226 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 2
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 191-207 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: This paper presents an analytical solution of the permeability alteration problem around the wellbore. This alteration may be a permeability reduction due to drilling fluid invasion or mudcake formation around the wellbore. On the other hand, the alteration may be a permeability increase resulting from stimulation by acidizing the formation matrix around the well. This permeability discontinuity in a reservoir forms a composite reservoir system. With the composite model, both the degree and the radial extent of permeability alteration can be adequately predicted. The conventional skin concept is inadequate and physically unrealistic in most of these cases.This paper describes the application of an automatic weighted constrained least-squares parameter estimation technique and the analytical model for pressure transient analysis. The parameters of the composite reservoir system are determined from a match of the pressure transient data. The behaviour of the pressure transient in such composite systems is presented using the analytical solution.
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  • 3
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 297-301 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 4
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 279-296 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A probabilistic model for stability analysis of a deepwater gravity-based platform foundation is defined, based on theory for wave loading in conjunction with conventional slip surface considerations. The model accounts for uncertainties in loading as well as in soil properties, and model uncertainties are also considered. The model is updated through in-service measurements of some of the governing variables, and measurement uncertainties are included. The practical application of the model is illustrated by presentation of calculations for a typical foundation. Probability calculations are performed by first-order reliability methods.
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  • 5
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 209-222 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The propagation characteristics of dispersive SV/P surface waves are analytically studied in a linear-elastic, isotropic, compressible half-space with constant mass density and Poisson's ratio and shear modulus increasing according to a continuous, bounded function of depth. Dispersion relations for the particular wave modes are evaluated over wide ranges of the parameters involved. Displacement profiles are presented for typical values of these parameters. Finally, an equivalent depth is given for use in connection with steady-state vibration techniques for site investigation.
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  • 6
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 7
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 351-366 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The displacement formulation of the finite element method is well suited to the analysis of elasto-plasticity problems involving compressible material behaviour, but it is well known that numerical difficulties occur when the material is incompressible or nearly incompressible. The effect of these additional constraints depends on both element formulation and mesh topology. A two-dimensional plane strain finite element formulation suitable for the solution of problems involving large strains and displacements (but small rotations) based on the isoparametric approach is described. The kinematics of deformation are defined in terms of the Eulerian strain rates that are invariably used in small strain analysis; the formulation therefore retains some of the character of small strain theory but includes additional geometrically non-linear terms. The results of a series of plane strain finite element analyses of two cylindrical expansion problems are presented. These results confirm the previously observed trend that as Poisson's ratio approaches 0·5 then the quality of the calculated stress deteriorates. The study also indicates that the solution quality depends increasingly on mesh topology as perfect incompressibility is reached.
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  • 8
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 379-399 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: In a previous paper1 the authors have developed and implemented a new boundary element (BE) model to simulate and predict land subsidence occurring over three-dimensional gas/oil fields in a homogeneous and isotropic half-space. The approach relies on Betti's reciprocal theorem and makes use of the classical fundamental solution of Boussinesq in the framework of the theory of linear poroelasticity. The BE method is here extended to inhomogeneous, transversally anisotropic soils by the aid of a two-dimensional finite element (FE) model which provides a fundamental numerical solution for the actual multi-layer setting of the subsurface system. The new FE-BE approach is then used to simulate the subsidence caused by gas production over the deep reservoir of Campo Ravenna Terra, Ravenna (Italy) from 1950 to 1980. The results compare very favourably with the outcome from a full more expensive three-dimensional FE model of the same occurrence.
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  • 9
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 10
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 509-517 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Laboratory uniaxial tests on cylindrical specimens of a simulated rock are used to identify the influence of the diameter (D) and height (L) of the specimens on the damage parameters. The relations are expressed in terms of the characteristic parameter C = L2/D.
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  • 11
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 519-523 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 12
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 587-594 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A simple hyperbolic function is often used to illustrate typical stress-strain behaviour of geomaterials during monotonic loading. This approach has the disadvantage that the failure condition is approached asymptotically, whereas in reality failure must occur at a finite value of strain. A modified hyperbolic function with one adjustable parameter is proposed in this paper. The function is shown to be capable of spanning all likely soil stress-strain data up to and including peak strength.
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  • 13
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 14
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 649-662 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The dynamic response of an inhomogeneous, linear-elastic half-space to a time-harmonic vertical line load on its surface is studied. The mass density and the Poisson's ratio are assumed to be constant and the shear modulus to increase continuously with depth according to a function which is bounded at infinity. This model can describe a wide range of uniformly deposited soil strata. Analytical solutions for the displacement field at the surface are obtained using the classical contour integration method by means of the residue theorem. The dependence of the displacement field on distance from the source, frequency and shear modulus variation is examined as well as the relative contribution of the higher surface wave vibration modes to the total displacement.
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  • 15
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 16
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 1-26 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A number of variational principles are established in this paper for the stress analysis of porous media with compressible constituents. A three-dimensional finite element method is proposed based on the variational principle. The finite element method thus established is applied to the study of the temperature, deformation and flow field associated with the water-flood technique in secondary recovery projects for oil exploration. In the study model, the layout of injection wells and production wells is considered to have a regular pattern where symmetry conditions exist. The injection fluid diffuses slowly into the formation through a vertical crack which is initially generated by an explosion. The problem is analysed by a plane strain formulation with the effects of heat conduction and convection included.
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  • 17
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 75-91 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A numerical procedure is presented for the downdrag analysis of group piles which penetrate a consolidating upper soil layer to socket into a firm bearing stratum of finite stiffness. The settlement of the consolidating upper soil layer under a surcharge load is estimated using Terzaghi's one-dimensional consolidation theory. Parametric solutions are presented to show the influence of various parameters on the performance of the socketed pile groups in terms of the development of the induced downdrag forces and associated pile head settlements. In general, pile-soil-pile interaction has the beneficial effect of reducing the downdrag forces and settlements of the group piles when compared to the corresponding single pile values, provided that the soil settlements are not so large as to cause full slippage at the interface in all the piles. Reasonable agreement is obtained between the theoretical and experimental results for pile groups subjected to negative skin friction.
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  • 18
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 139-143 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 19
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990) 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 20
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 151-190 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The paper outlines the theory of generalized plasticity in which yield and plastic potential surfaces need not be explicitly defined, and shows how a very effective general model describing the behaviour of sands and of clays under monotonic or transient loading can be developed. The model is currently one of the simplest and yet one of the most effective ones for describing the full range of behaviour.The hierarchical structure of the model limits the number of parameters which have to be experimentally determined for a given material to those strictly necessary for the problem at hand.A discussion of currently used models is included.
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  • 21
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 149-150 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 22
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 401-425 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A semi-analytic solution for the migration of dilute reactive contaminant species in a fractured medium having a one-, two- or three-dimensional fracture network is presented. The application of the technique to practical problems is discussed and illustrated by examples. The effects of sorption in the matrix and on the surface of the fractures are considered for a range of parameters. It is demonstrated that the synergistic interaction of the various parameters is such that the effect of changing a single variable may not be immediately obvious and a designer should perform computations for the range of expected parameters to determine the maximum impact. For example, it is shown that it is not necessarily conservative to consider only one-dimensional or only three-dimensional diffusion into the matrix; which of these cases is most critical will depend on the values of other parameters. It is also shown that an effective leachate collection system may significantly reduce the impact of those contaminants which do escape into the fractured media.
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  • 23
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 499-507 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
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  • 24
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 473-498 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: In this paper the stability of layered, anisotropic, hypoelastic media under initial stress is investigated. The bifurcation problem is formulated and solved numerically by use of a semi-analytical transfer matrix method. An alternative analytical approach in dealing with inhomogeneous media is developed by representing a periodically layered medium as a homogeneous Cosserat continuum. The Cosserat-continuum approach is validated against the numerical transfer matrix solution.
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  • 25
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 545-563 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: In this paper the stress and moment stress distribution in a periodically layered half plane due to an arbitrary surface loading are derived. The bending stiffness of each layer is considered within the framework of Cosserat's continuum theory. Special emphasis is given to the case when the shear modulus of the one type of layer is much smaller than that of an adjacent layer. Results are illustrated for the case of a strip loading.
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  • 26
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 595-598 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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  • 27
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 599-612 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Progressive failure in long natural clay slopes with an underlying weak shear zone is studied. The clay slope is assumed to be elastic-perfectly plastic, whereas the shear zone may have an elastic-plastic strain softening behaviour. The failure will occur due to the development of large shear deformations in the weak zone. The general behaviour, including the possibility of progressive failure, can be studied by the use of a one-dimensional finite element model. Other interesting matters which can be studied are critical load, critical disturbance and critical length of the slope. Numerical examples show the overall behaviour due to different residual shear strengths of the weak layer, end disturbance or change of pore pressure in the weak layer. Although simple, the proposed finite element model provides a practically applicable tool for the prediction of whether progressive failure will occur and in which manner the local failure will propagate.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 631-648 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Laplace transform solutions are derived for an evolving permafrost region in saturated ground when the freezing interface moves with constant speed. The solution is inverse in the sense that the melting temperature at the interface and the groud surface temperature are prescribed functions of time. The solution procedure incorporates an initial temperature distribution in a domain extended above the ground surface. This allows, by asymptotic analysis, the construction of initially continuous melting and surface temperatures with bounded first and second derivatives. Solutions for two classes of initial conditions are determined by numerical inversion of the transforms. These solutions are used to test the corresponding solutions obtained by a direct finite difference algorithm developed earlier.1 Good agreements for both interface path and temperature profiles are obtained in both classes.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 227-251 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: An analytical model which represents the behaviour of a reinforced rock mass near a circular underground opening in a homogeneous, uniform stress field has been developed. The theory adopts the concepts of elastoplasticity and considers a proper interaction mechanism between the ground and the grouted (or friction) bolts. It highlights the influence of the bolt pattern on the extent of the yield zone and tunnel deformation. A dimensionless parameter is introduced as a design tool which relates the tunnel convergence to the bolt spacing for a given bolt length. This publication contains the derivation of the analytical model and an illustration of the effect of bolts on the stress and displacement field near an opening. Its application to tunnel design is discussed briefly. The verification of the theory by laboratory simulation and field measurements will be presented, in detail, in a future publication.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990) 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 367-377 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Discontinuities that have unfavourable orientation and are continuous within overall engineering rock regions can have a dominant effect on the strength, deformability and permeability of the rock mass. The concepts of geometrical parameters of basic discontinuities and engineering discontinuities are proposed in this communication. Further, the engineering discontinuities are divided into key discontinuities and non-key discontinuities. Within any region of the rock mass, the spacing, trace length and probability of engineering discontinuities can be estimated from the geometrical parameters of the basic discontinuities. In general, the geometrical parameters are different from those of the basic discontinuities. Finally, two examples are given to illustrate how to apply these parameters to rock engineering problems.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 445-449 
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 325-350 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Observed frequencies of joint orientations are subject to error due to sampling bias. This error should be corrected before statistical inference is made on the distribution of orientation. Corrections (weighting functions) are developed for sampling bias in orientation for finite joints of different sizes and shapes intersecting rectangular exposures. Chi-square goodness-of-fit procedures available for hemispherical normal and bivariate normal distributions are modified to make them applicable for both raw data and data corrected for sampling bias. The aforementioned corrections and procedures were applied to a joint orientation cluster to study the effect of (a) joint orientation, (b) joint size and (c) joint shape, on the statistical distribution of the orientation. The influences of all these aforementioned factors were found to be significant. However, at present, joint sizes and shapes are not measured in field joint surveys. Therefore, it is suggested to make attempts to obtain joint sizes and shapes in field joint mapping surveys. Since the currently available probability distributions are not adequate to represent all joint orientation distributions, it is suggested either to look for new probability distributions or to develop procedures to use empirical distributions in modelling orientation distributions.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 427-443 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: An examination of the effects of frictional heating of pore fluid in relation to long-term slope stability is presented. It is found that increases in pore-fluid pressure due to heat-induced expansion may act to enhance creep rates and possibly lead to total loss of stability. Conditions for total stability loss are examined and an approximate critical value of average shear stress is determined. This value must be exceeded for a sufficiently long period of time in order to induce rapid failure.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 451-472 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: This paper describes a three-dimensional discrete element method of analysis for granular materials. Individual particles are modelled as rigid, six-sided solids with six degrees of freedom. Various types of contacts are possible among the three-dimensional discrete elements. Models for these contact types are described. Computational aspects of the method, such as techniques for contact detection and data structure, are addressed. Selective results of three examples that demonstrate the application of the method to granular flow problems are presented and discussed.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990) 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 525-543 
    ISSN: 0363-9061
    Keywords: Geological basins ; Numerical simulation ; Finite elemtent method ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
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    Notes: A mathematical model treating the compaction of sediments in geological basins is derived. The model is based on the principle of conservation of mass and energy, and gives a consistent and complete set of equations for compaction, pressure and temperature history of sedimentary basins.Further, the paper describes a numerical model based on the mathematical equations, derived by using the finite element method. This derivation starts with the time-discretized versions of the conservation laws of mass and energy. The result is the time-discretized equations for pressure and temperature. The numerical derivation is parallel with the mathematical deductions. By integrating these time-discretized equations spatially the element equations are obtained. Hence, the element equations are derived directly from the underlying physical laws. This approach to developing element equations in a compacting medium is believed to be new. The model has been tested successfully on some geological basins, and the results of a simulation are included at the end of the paper.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 565-585 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: A double-porosity model is used to describe the oscillatory gas motion and associated contaminant transport induced by cyclical variations in the barometric pressure at the surface of a fractured porous medium. Flow along the fractures and within the permeable matrix blocks is locally one-dimensional. The interaction between fractures and blocks includes seepage of fluid as well as diffusion of contaminant. To guard against artificial numerical diffusion, the FRAM filtering remedy and methodology of Chapman is used in calculating the advective fluxes along fractures and within blocks. The entire system of equations, including the fracture-matrix interaction terms, is solved by a largely implicit non-iterative algorithm which remains stable and conservative even when the computational time step is large compared to the cross-block transit time of pressure waves. The numerical accuracy is tested by comparison with exact solutions for oscillatory and unidirectional flows, some of which include diffusion interaction between the fracture and the matrix. The method is used to estimate the rate of vertical transport of radioactive gases through the rubblized chimney produced by an underground nuclear explosion.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 613-629 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: Vertical and horizontal deformations of surface footings have been studied for an inhomogeneous elastic half-space in which the shear modulus increases with an arbitrary power of depth, n, and Poisson's ratio is constant. A general solution for displacements has been obtained first for point loads applied in vertical and horizontal directions. These are then used in obtaining closed-form solutions for displacements of uniformly loaded circular and rectangular footings. Finally, a numerical method is described that can be used to analyse a rigid footing of an arbitrary shape, and results for rigid rectangular footings are given.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 663-667 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 253-278 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    Notes: A linear stability analysis of the partial differential equations of granular flow is performed. The constitutive relations include (i) elastic effects, (ii) non-associated flow rules and (iii) shear-strain hardening. Conditions for the equations to be well-posed and to be stable are derived. It turns out that there are two qualitatively different kinds of instability; which appears first depends on the parameters of the constitutive relations. If one kind appears first, then in a constitutive test a period of inhomogeneous deformation is predicted to occur before the formation of shear bands. If the other kind appears first, then shear bands are predicted to form in an approximately homogeneous sample. Some constitutive experiments are analysed from this viewpoint, and the analysis suggests some new experimental work.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 303-323 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    Notes: An approach is presented for the analysis of the unconfined steady-state seepage through homogeneous trapezoidal dams based on a bijective mapping between the flow domain, having an unknown shape, and a fixed triangular domain. It is shown that the geometrically non-linear unconfined analysis is equivalent to the problem of determining the unknown distribution of permeability, within a triangular domain with known shape, that satisfies the set of transformed boundary conditions. The flow problem in the triangular domain is solved through a finite-element technique analogous to that adopted for confined analyses and, on the basis of this solution, the shape of the free surface in the physical space is evaluated. The proposed approach is applied to the determination of the influence of the water levels in the upper and lower reservoirs on the elevation of the free surface seepage point.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 71-74 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990) 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 93-124 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    Notes: Finite elements with embedded shocks are used to investigate transient strain localization phenomena in frictional solids. In particular, we seek to elucidate the effect of rate sensitivity and inertia on the development of shear bands in solids subjected to impulsive loading. As in the static case, our results show that shear banding may induce severe softening of the specimen even as the material steadily hardens. As expected, rate sensitivity retards the onset of structural softening and tends to stabilize the post-peak response. It is verified that the static solution is indeed recovered in the inviscid limit. Under dynamic conditions, shear bands are observed to propagate discontinuously, arresting and resuming propagation repeatedly before linking up with the boundary of the specimen. The direction of the band is equally unsteady. In addition, multiple shear banding, with the development of secondary and even tertiary bands, appears to be a prevalent mechanism at sufficiently high impact velocities.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 131-138 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    Notes: A simplified analysis of the problem of horizontal soil stress changes around circular displacement piles, caused by pile placement, is presented. Pile installation is assumed to cause soil displacements in the horizontal direction only, thus yielding an axisymmetric problem. The soil surrounding the pile is modelled as a weightless non-linear elastic material. Material non-linearity is handled in a simplified manner by adopting secant shear moduli defined in terms of a proportionality coefficient and a softening factor. The resulting equilibrium equation is solved analytically and an expression is obtained which is also conveniently presented in graphical form. The derived expression can be used to estimate horizontal soil stress changes and is incorporated into a simple procedure to estimate the ultimate load or the efficiency of pile groups. Comparisons are made between efficiencies calculated according to this procedure and efficiencies measured in full-scale group load tests in sand.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 27-47 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    Notes: A procedure for numerical approximation to two-dimensional, hydraulically-driven fracture propagation in a poroelastic material is described. The method uses a partitioned solution procedurè to solve a finite element approximation to problems described by the theory of poroelasticity, in conjunction with a finite difference approximation for modelling fluid flow along the fracture. An equilibrium fracture model based on a generalized, Dugdale-Barenblatt concept is used to determine the fracture dimensions. An important feature is that the fracture length is a natural product of the solution algorithm. Two example problems verify the accuracy of the numerical procedure and a third example illustrates a fully-coupled simulation of fracture propagation. Photographs taken from a high-performance engineering workstation provide insight into the nature of the coupling among the physical phenomena.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 49-70 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    Notes: The dynamic response of foundation is influenced by various mechanical properties of soil as well as the geometrical properties of the foundation. In this paper, the effects of Poisson's ratio and material damping, as well as the influences of aspect ratio and embedment depth on the dynamic stiffness of rectangular foundations are studied. Studies are also conducted to investigate the influence of the type of contact at the soil-foundation interface and the soil layer overlaying a half-space. These studies were conducted using an advanced algorithm of the boundary element method incorporating isoparameteric quadratic boundary elements. Higher-order elements (quadratic) were used since they can model the wavy nature of the dynamic problem accurately.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 125-130 
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    Keywords: Engineering ; Engineering General
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    Notes: Borehole closure data have often been used to determine the constitutive behaviour of rock salt. This is an inverse problem and analysis of the data is confused by the fact that borehole closure is a structural response that does not uniquely determine constitutive behaviour since both the stress and deformation depend on the constitutive behaviour.This application brief assesses the conclusion of a recent study that the transient power law, ∊ = K τmtn, which includes no term to account for steady-state deformation, is a better constitutive model for salt than are models that account for steady-state straining, and that an empirical model developed from the borehole closure data could be extrapolated to give conservative predictions of long-term closure of single or widely spaced openings.
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    International Journal for Numerical and Analytical Methods in Geomechanics 14 (1990), S. 145-148 
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    Keywords: Engineering ; Engineering General
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 1-15 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    Notes: A numerical procedure is described for the analysis of vertical deformation of smooth, rigid foundations of arbitrary shape on homogeneous and layered soil media. The contact area at the interface of the foundation and soil medium is approximated by square subdivisions. The response of the system is then obtained from the superposition of the influence of the individual subdivisions. The flexibility influence coefficients are based on equivalent smooth, rigid circular areas with the same contact area as the square subdivisions. For foundations on a homogeneous, isotropic elastic half-space, the flexibility coefficients are given analytically by the integrated forms of the Boussinesq's solution. For a layered soil medium, the flexibility coefficients are determined from an axisymmetric finite element analysis which is essentially two dimensional. Thus, there is no necessity for a full three-dimensional finite element analysis. Comparison with solutions obtained using the integral transform technique for smooth, rigid rectangular foundations on a homogeneous, isotropic elastic half-space shows good agreement. Parametric solutions are presented for the response of rectangular foundations on some ‘typical’ soil profiles. The use of a simplified method to estimate the settlement of rectangular foundations on a layered soil medium by superposing solutions for homogeneous, elastic strata is discussed.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 61-77 
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    Keywords: Engineering ; Engineering General
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    Notes: The complete solution is presented for the transient effects of pumping fluid from a point sink embedded in a saturated, porous elastic half-space. It is assumed that the medium is homogeneous and isotropic with respect to its elastic properties and homogeneous but anisotropic with respect to the flow of pore fluid. The soil skeleton is modelled as a linear elastic material obeying Hooke's law, while the pore fluid is assumed to be incompressible with its flow governed by Darcy's law. The solution has been evaluated for a particular value of Poisson's ratio of the solid skeleton, i.e. 0.25, and the results have been presented graphically in the form of isochrones of excess pore pressure and surface profile for the half-space. The solutions presented may have application in practical problems such as dewatering operations in compressible soil and rock masses.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 115-129 
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    Keywords: Engineering ; Engineering General
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    Notes: To facilitate the practical numerical analysis of tunnel structures by means of the finite element method in the case of viscoplastic properties of the rock mass and viscoelastic properties of the shotcrete, this method is coupled to boundary elements. In this way, the unchanged properties of the boundary element region provide enormous savings in computing time. In order to improve the numerical stability of such calculations, a variable time-step analysis was employed for each time step with an iterative correction method. Characteristic values are obtained from measured values by back-analysis.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 143-153 
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    Notes: The heat extraction through a geothermal reservoir on an oblique fault plane in the earth's crust is considered. The fault could be modelled mechanically as a frictional contact interface of two elastic bodies. The heat is recovered by circulating fluid through the reservoir, and then the surface of the reservoir is cooled by the fluid. The analysis is based on the two-dimensional theory of quasi-static thermoelasticity. It is concluded from numerical calculations that a geothermal reservoir can be created on an oblique fault plane, and the opened region, i.e. the fluid-filled region, increases gradually with time during the heat extraction. Also discussed are the effects of the fluid pressure and the coefficient of friction on the behaviour of the reservoir.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 283-305 
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    Keywords: Engineering ; Engineering General
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    Notes: A finite element, variable mesh analysis of unconfined steady-state seepage problems is presented based on a nonlinear programming algorithm. It is shown that the minimization of an objective function which merely represents a measure of the total flux leaving or entering the mesh at the free surface nodes (except those that belong also to pervious boundaries) does not permit a unique definition of the free surface geometry. This problem, which is apparently related to the numerical instabilities often met when using variable mesh approaches, can be eliminated by adding to the objective function a term representing a sort of overall ‘regularity’ condition for the shape of the free surface. The modified solution procedure turns out to be stable and able to provide meaningful results for practical problems even when rather coarse meshes are adopted.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. i 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 381-390 
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    Notes: Hydraulic and mechanical properties of rock masses are largely dependent upon the distribution and variation of fracture areas. Consequently, it is essential to develop good models for analysing the spatial geometric characteristics of fracture fields. The latter, however, may be ascertained only by measuring open cuts or boreholes. The most important factor from the analysis of areas is to be able to determine spatial networks. Without an exhaustive and expensive inventory, the classical methods involving measurements of dip and strike do not provide either a correct estimation of fracture orientations in space, or a good estimation of their distribution.At present, automatic analysis of linear traces on large plane areas is used by several authors1,2 and the field strike and dip measurements are applied only for verification purposes. This method of computing spatial networks is especially suitable because of the nature of data so obtained, since it permits various simulations on computed networks. It is based upon classical methods of vector geometry that involve a measurements data matrix and provide a means of solving a double system of equations. Results are the directional spatial fracture densities. The object of this paper is to define the geometric parameters of this problem and the computation method, to present an example and, finally, to conclude with critical comments supported by certain proposals for a variety of applications.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 503-520 
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
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    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The constitutive model of sands is proposed to describe the characteristics of plastic behaviour for cyclic loadings. A non-associated flow rule is used and both yield function and plastic potential are generalized forms of the Modified Cam clay model. The hardening parameter is represented by the plastic work related to different portions of volumetric and deviatoric changes. The boundary surface is employed to describe the plastic strain within the yield surface. The directional independency of yield condition in triaxial compression and extension tests is extended to that in general stress states. Several drained and undrained cyclic tests are predicted and the comparison is made with experimental results. The proposed model is capable of representing the monotonic and cyclic behaviours of sands with reasonable accuracy. The simulation is performed for both included and excluded membrane penetration effects and it is suggested that the membrane penetration causes the significant influences on the results of undrained cyclic tests.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 521-542 
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    Notes: A review of the literature indicates that the elastic behaviour of granular materials is isotropic and that Poissony's ratio is constant, whereas Young's Modulus, the bulk modulus and the shear modulus vary with the mean normal stress and the deviatoric stress. A nonlinear, isotropic model for the elastic behaviour is developed on the basis of theoretical considerations involving the principle of conservation of energy. Energy is therefore neither generated not dissipated in closed-loop stress paths or in closed-loop strain paths. The framework for the model consists of Hooke's law, in which Poission's ratio is constant and Young's modulus is expressed as a power function invlving the first invariat of the stress tensor and the second invariant of the deviatoric stress tensor. The characteristics of the model are described, and the accuracy is evaluated by comparison with experimental results from triaxial tests and three-dimensional cubical triaxial tests with a variety of stress paths. Parameter determination from unloading-reloading cycles in conventional triaxial compression tests is demonstrated, typical parameter values are given for granular materials and extension of the model to soils with effective cohesion is described.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 551-551 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 603-620 
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    Notes: The general yield function in the hierarchical approach for constitutive modelling of materials is used with Perzyna's theory to characterize viscoplastic behaviour of geologic materials: a sand and rock salt. Particular attention is given to determination of the constants from laboratory quasistatic or short term, and creep tests. The proposed model is verified with respect to observed laboratory response of the sand and salt. It is implemented in a non-linear finite element procedure and applied to analyse time-dependent behaviour of a cavity in the rock salt.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 621-638 
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    Keywords: Engineering ; Engineering General
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    Notes: A numerical method of analysis based on elasticity theory is presented for the analysis of axially and laterally loaded pile groups embedded in nonhomogeneous soils. The problem is decomposed into two systems, namely the group piles acted upon by external applied loads and pile-soil interaction forces, and a layered soil continuum acted upon by a system of pile-soil interaction forces at the imaginary positions of the piles. The group piles are discretized into discrete elements while the nonhomogeneous soil behaviour is determined from an economically viable finite element procedure. The load-deformation relationship of the pile group system is then determined by considering the equilibrium of the pile-soil interaction forces, and the compatibility of the pile and soil displacements. The influence of soil nonlinearity can be studied by limiting the soil forces at the pile-soil interface, and redistributing the ‘excess forces’ by an ‘initial stress’ process popular in elasto-plastic finite element analysis. The solutions from this approach are compared with some available published solutions for single piles and pile groups in homogeneous and nonhomogeneous soils. A limited number of field tests on pile groups are studied, and show that, in general, the computed response compares favourably with the field measurements.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 665-666 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 33-50 
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    Notes: The upper bound method of limit analysis of perfect plasticity is applied to stability problems of slopes with a general nonlinear failure criterion. Based on the upper bound method, a numerical procedure is suggested, which converts the complex system of differential equations to an initial value problem. Using this numerical procedure, an effective numerical method, called the inverse method, suitable for the solution of slope stability problems in soil mechanics with a general nonlinear failure criterion, is presented. A general nonlinear failure criterion for soils is also suggested, from which the effects of nonlinear failure parameters on the stability of slopes are discussed.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 363-380 
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    Notes: A method is presented for obtaining the consolidation behaviour of a layered soil subjected to strip, circular, or rectangular surface loadings, or subjected to fluid withdrawal due to pumping. The solution method involves applying a Fourier or Hankel transform to the field quantities along with a Laplace transformation. The effect of the Fourier or Hankel transform is to reduce a two- or three-dimensional problem or one involving axial symmetry, to one involving only a single spatial dimension. In cases where the soil is horizontally layered, this has great advantages over conventional methods, such as finite element or finite difference methods, since very little computer storage and data preparation time is required. Solution of the time dependent problem is achieved by applying a Laplace transformation to the field variables, obtaining solutions in Laplace transform space, and then numerically inverting the transformed solutions to obtain the real time behaviour. This eliminates the need for ‘marching type’ schemes where a solution is found from one at a previous time. By direct inversion of the Laplace transform, a solution may be obtained directly at any given time.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 221-240 
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    Notes: In this paper, liquefaction potential of loose sand deposit subjected to an earthquake loading is evaluated. The analysis is performed by using a finite element technique incorporating the equations of dynamics of saturated porous elastoplastic media. The soil response is modelled by an anisotropic hardening rule, similar to that as proposed by Poorooshasb and Pietruszczak.1 The concept is based on the theory of bounding surface plasticity incorporating a non-associated flow rule and the idea of reflected plastic potential. The present paper provides a modified formulation to that discussed in Reference 1. Modifications are aimed at simplifying the concept for numerical implementations.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 79-102 
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    Keywords: Engineering ; Engineering General
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    Notes: A rational approach for dealing with uncertainties in geotechnical performance predictions is presented. First, sources of uncertainty are identified and treated stochastically. Then, the relative importance of each source is analysed and its influence in the decision-making process is evaluated. Strong inferences concerning the spatial structure of soils are drawn from field or laboratory measurements, while maintaining consistency with engineering knowledge and experimenal findings. Optimal estimates of soil properties are derived by a stochastic method which is mathematically meaningful and portrays adequately the real behaviour of the data. The method is powerful when the data exhibit homogeneous or non-homogeneous characteristics, and works well with any kind of data support. Its applicability is illustrated in a case study involving field vane data. Furthermore, contributions and benefits of the results obtained to the geotechnical decisions and design are discussed.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 193-202 
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    Notes: Triaxial fracture tests with overburden pressures ranging from 0.69 to 136 MPa were performed to determine the material parameters involved in a cap model for limestone. Three material parameters A, B and C, were evaluated through Powell's optimization method and the remaining parameters through simulation-curve fitting procedure. The resulting cap model was tested against separate triaxial fracture and hydrostatic compression tests. Modification of the original hardening function, as proposed by DiMaggio and Sandler, provided an improved fit for the experimental data.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 215-217 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 257-268 
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    Notes: An approximate, analytical solution is found for the gravity-induced stresses in the neighbourhood of an axisymmetric topographic feature on an elastic half-space. The solution is in the form of a perturbation expansion in powers of the characteristic slope, ∊. The leading order problem, at O(1), is for a distributed normal load on a plane half-space. The O(∊) correction is due to a distributed shear traction. The vertical variation of the near-surface stress perturbation and the rotation of the principal stress directions are O(∊) effects, and thus include contribution s of like order from both the normal and shear loads. The method requires general solutions for axisymmetric, normal and shear tractions of arbitrary radial distribution, and these are found in terms of Hankel transforms.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 323-323 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 325-344 
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    Notes: This paper presents a study of the interaction between the foundations of a jack-up rig and the pile foundations of an adjacent steel offshore platform. Parametric solutions are presented to evaluate the effect of the rig footing load on the performance of the pile foundation. Homogeneous and non-homogeneous soil conditions have been considered. An example is used to illustrate the application of the solutions in a practical problem.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 391-408 
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    Notes: This paper presents a study on the optimal estimation of initial in-situ stresses, in which the in-situ stresses may be constant or linearly changing along a co-ordinate axis, from a set of relative measurements between adjacent measuring points utilized for monitoring the stability of tunnels. Displacements occurring before installation of measuring devices can be taken into account. The approach may be used for a variety of models used to simulate the ground media through which the tunnels are being excavated and has the advantage of being easy to implement on the computer and having both good precision and calculation stability. Finally, an analysis is carried out on the stability of the algorithm and computational time for different numerical examples.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 433-433 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 449-473 
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    Notes: Existing approaches for locating the critical slip surfaces are briefly reviewed. A number of techniques and strategies are proposed whereby the efficiency and robustness of some of the existing approaches can be enhanced. A new solution scheme is also developed for rapid calculation of the factor of safety. The new solution scheme requires only one level of iterations in contrast to the conventional solution scheme which invoives two levels of iterations. It is also applicable to a variety of stability models. A new compound iterative procedure is developed whereby the factor of safety can be calculated to a high accuracy within a few iterations. This reduces greatly the total computer time required for locating the critical slip surfaces.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 547-547 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 553-553 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 555-583 
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    Notes: A survey is presented of some recent developments of the numerical techniques for back analysis in the field of geomechanics, with particular reference to tunnelling problems. In the spirit of Terzaghi's observational design method, these techniques are seen as practical tools for interpreting the available field measurements, in order to reduce the uncertainties that in many instances affect the parameters governing the solution of complex geomechanics problems. Both deterministic and probabilistic viewpoints are considered and some significant applications to practical problems are illustrated.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 645-650 
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    Notes: The effect of axial load on the torsional pile response and the effect of torque on the axial pile response are investigated. To perform this investigation, a computer program was developed which uses the transfer matrix method to analyse a pile supported by a series of coupled axial and torsional elasto-plastic springs. The study indicated that the ultimate torsional and axial pile capacities, as well as the axial displacements and rotations, are significantly affected by the combined load action.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 659-661 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 651-658 
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    Notes: This paper presents plasticity formulation of the multi-laminate framework of soil models. Soil element is assumed to be an assemblage of perfectly fitting polyhedral blocks and irreversible deformations are assumed to occur due to sliding, separation/closing of the boundaries. Using an appropriate summation of mechanisms, the total plastic strains are obtained by evaluating contributions from an infinite number of randomly oriented planes in space. The paper provides a general plasticity formulation and examines various constitutive theories which can be incorporated into the framework.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 171-183 
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    Notes: High gas pressure gradients in coal seams play an important role in the occurrence of outbursts during underground coal mining. Excess stress resulting from body forces due to high pressure gradients contributes to the structural failure of coal. We present a one-dimensional model of a dry, rigid coal seam with a moving mine face and determine gas pressures by solving the nonlinear equation for gas flow in a porous medium. An implicit finite difference scheme is used. Since the structure of coal has a dual porosity nature, we consider flow through both the macropores and the micropores. We investigate the effect of changes in mining velocity, idle mining periods and coal properties on the pressure profile in the coal seam. When the yield zone behind the moving mine face is taken into account, the greatest body force occurs on the least competent section of the coal seam.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 185-192 
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    Notes: A method is detailed for the plastic collapse analysis of long piles typical of offshore foundations, subjected to inclined loading. The method is based on the upper bound method of plasticity. It easily incorporates both axial and lateral variable soil resistance and variable pile cross section properties. The incorporation of plastic yield interaction between axial load and moment for the pile is a key feature of the method. The solution can itself be cast in the form of a curve representing axial and lateral load interaction and is amenable to incorporation in the analysis of foundation systems such as pile groups.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987) 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 51-60 
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    Notes: This study deals with the geometrically nonlinear axisymmetric static and transient response of cylindrically orthotropic thin circular plates resting on Pasternak elastic foundations subjected to uniformly distributed loads. Clamped and simply-supported plates with radially movable and immovable edges have been considered. The von-Kármán type nonlinear governing equations have been solved using orthogonal point collocation method in the space domain and Newmark-β scheme in the time domain. The maximum transient response to step loads has also been predicted from static response. The influence of the foundation parameters on the response has been investigated.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 103-112 
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    Notes: The numerical Laplace-Fourier transformation technique previously presented by the authors11 is used here for solving the consolidation problem of a finite inhomogeneous soil layer whose shear modulus is increasing linearly with depth. Parametric studies are performed and the results are critically discussed.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 489-502 
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    Notes: A linear boundary element (BE) model is proposed for the uncoupied simulation of land subsidence due to gas, oil and hot water production over three-dimensional (3-D) arbitrarily shaped reservoirs. The pore pressure decline is assumed to be specified in advance, e.g. via a numerical model of flow. Use is made of the fundamental solution derived in 1885 by Boussinesq for a vertical load acting upon the traction-free surface of a semi-infinite medium. A straightforward application of Betti's (1872) reciprocal theorem allows for the development of a boundary integral whose numerical execution yields directly the downward settlement over the point of interest.The new procedure is applied to assess land sinking caused by an uniform pore pressure decline occurring within fields of elliptical shape and to explore the influence of the assumption of small reservoir thickness which underlies the ‘tension center’ or ‘strain nucleus’ approach previously developed by Geertsma in 1966. The results emphasize the numerical efficiency of the solution and the promising features of the BE method for the evaluation of ground subsidence in 3-D problems.The present model is based on the theory of the linear poroelasticity and is implemented for a mechanically homogeneous and isotropic half-space. It allows for any arbitrary geometry of the reservoir and for a non-uniform distribution of the pore pressure decline. It may easily be extended to other physical settings for which a vertical surface point load solution is available.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 543-545 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. i 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 585-601 
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    Notes: A finite element procedure is developed to accurately locate the free surface of unconfined seepage flow through porous media. The free surface is taken as the boundary between wet and dry soils, with flow in the saturated region characterized by Darcy's law. The method involves equations and meshing which are fully consistent with a general formulation for geotechnical engineering problems involving simultaneous solution of pore fluid pressures and soil skeleton displacements. Accuracy and versatility of the proposed procedure are demonstrated by solving various unconfined seepage flow problems through earth structures. Free surfaces and flownets are presented for the calculated flow fields.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 639-644 
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    Notes: The behaviour of single vertical piles subjected to lateral loading at the pile head was analysed. Based on the assumption of beam on elastic foundation, the analysis was made by using the method of direct analysis which is a numerical approach making direct use of governing physical laws without explicitly utilizing the differential equation of vibration. The analysis provides short-time pile response to pulse loadings. These results indicate, among others, that an interaction between the dilatation and shear waves results in a stress discontinuity of considerable magnitude which may deserve special attention in pile design.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 663-664 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 131-141 
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    Notes: Two analytic closed form solutions for the one-dimensional advection-dispersion equation are presented. These solutions take account of changes in surface concentration with time as mass is transported into the soil. The first solution is developed for the case of rapid landfill construction. The second solution considers a time-dependent mass input to the landfill. The use of these solutions is illustrated by a number of examples and it is shown that consideration of the finite mass of contaminant within the landfill can significantly affect the concentration profiles beneath the landfill.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 219-219 
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 241-255 
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    Notes: Variational principles governing dynamics of fluid-saturated linear elastic porous media are derived. Complementary as well as direct formulations are discussed. Discontinuities in the field variables, the approximation space and the excitation are allowed for. Extensions of the variational principles to relax smootheness requirements on certain field variables are introduced along with some specizalizations convenient for finite element applications.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 307-314 
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    Notes: An approach is presented for the prediction of linear and nonlinear load-deformation behaviour of laterally loaded pile groups. The individual pile response is obtained by the conventional p-y curve technique, while group interaction is modelled using the Mindlin's solution. Good agreement is observed when comparing the present method of analysis with the commonly used interaction factor approach for the computation of response of pile groups embedded in a homogenous, isotropic elastic half-space. The predicted pile group behaviour also compares favourably with existing field data on laterally loaded pile groups in soft clay.
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    International Journal for Numerical and Analytical Methods in Geomechanics 11 (1987), S. 220-220 
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