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  • 1
    ISSN: 1573-0956
    Keywords: (AGI) ; heat flow ; lithosphere ; thermal conductivity ; thermal diffusivity ; models ; uncertainty
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract Measurements on thermal conductivity and diffusivity as functions of temperature (up to 1150 K) and pressure (up to 1000 MPa) are presented for Archaean and Proterozoic mafic high-grade rocks metamorphosed in middle and lower crustal pressures, and situated in eastern Finland, central Fennoscandian Shield. Decrease of 12–20% in conductivity and 40–55% in diffusivity was recorded between room temperature and 1150 K, which can be considered as typical of phonon conductivity. Radiative heat transfer effects were not detected in these samples. Pressure dependencies of the samples are weak if compared to crystalline rocks in general, but relatively typical for mafic rocks. The temperature and pressure dependencies of thermal transport properties (data from literature and the present study) were applied in an uncertainty analysis of lithospheric conductive thermal modellings with random (Monte Carlo) simulations using a 4-layer model representative of shield lithosphere. Model parameters were varied according to predetermined probability functions and standard deviations were calculated for lithospheric temperature and heat flow density after 1500 independent simulations. The results suggest that the variations (uncertainties) in calculated temperature and heat flow density values due to variations in the temperature and pressure dependencies of conductivity are minor in comparison to the effects produced by typical variations in the room temperature value of conductivity, heat production rate or lower boundary condition values.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Surveys in geophysics 19 (1998), S. 189-203 
    ISSN: 1573-0956
    Keywords: Historical seismology ; historical earthquakes ; intensity ; macroseismic data ; earthquake parameters ; uncertainty
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract The principal aim in studies of historical earthquakes is usually to be able to derive parameters for past earthquakes from macroseismic or other data and thus extend back in time parametric earthquake catalogues, often with improved seismic hazard studies as the ultimate goal. In cases of relatively recent historical earthquakes, for example, those of the 18th and 19th centuries, it is often the case that there is such an abundance of available macroseismic data that estimating earthquake parameters is relatively straightforward. For earlier historical periods, especially medieval and earlier, and also for areas where settlement or documentation are sparse, the situation is much harder. The seismologist often finds that he has only a few data points (or even one) for an earthquake that nevertheless appears to be regionally significant. In such cases, it is natural that the investigator will attempt to make the most of the available data, expanding it by making working assumptions, and from these deriving conclusions by inference (i.e. the process of proceeding logically from some premise). This can be seen in a number of existing studies; in some cases extremely slight data are so magnified by the use of inference that one must regard the results as tentative in the extreme. Two main types of inference can be distinguished. The first type is inference from documentation. This is where assumptions are made such as: “the absence of a report of the earthquake from this monastic chronicle indicates that at this locality the earthquake was not felt”. The second type is inference from seismicity. Here one deals with arguments such as “all recent earthquakes felt at town X are events occurring in seismic zone Y, therefore this ancient earthquake which is only reported at town X probably also occurred in this zone”. While in many cases such assumptions may very well be correct, they are usually not testable – or at least untested. Furthermore, it is possible to produce numerous contrary examples. It is concluded that the use of inference to amplify poor data must be made very transparent to the end user of the results, to avoid misleading appearances of accuracy. In many cases it may be best to abandon the quest for parameters altogether and admit that the data are inadequate.
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Stochastic environmental research and risk assessment 11 (1997), S. 433-448 
    ISSN: 1436-3259
    Keywords: Risk ; uncertainty ; reservoir operation ; sedimentation ; computer application
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract An attempt of using stochastic hydrologic technique to assess the intrinsic risk of reservoir operation is made in this study. A stochastic simulation model for reservoir operation is developed. The model consists of three components: synthetic generation model for streamflow and sediment sequences, one-dimensional delta deposit model for sediment transport processes in reservoirs, and simulation model for reservoir operation. This kind of integrated simulation model can be used to simulate not only the inflow uncertainty of streamflow and sedimentation, but also the variation in operation rules of reservoirs. It is herein used for the risk assessment of a reservoir, and the simulation is performed for different operation scenarios. Simulation for the 100-year period of sediment transport and deposition in the river-reservoir system indicates that the navigation risk is much higher than that of hydropower generation or sediment deposition in the reservoir. The risk of sediment deposition at the river-section near the backwater profile is also high thereby the navigation at the river-segment near this profile takes high risk because of inadequate navigation depth.
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Geotechnical and geological engineering 15 (1997), S. 145-180 
    ISSN: 1573-1529
    Keywords: information ; site investigation ; rock engineering ; auditing ; uncertainty
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Abstract Although there is general awareness that uncertainty, information and decision making are key elements of site investigation, there has previously been little comprehensive attempt to formalize these factors in the site investigation process. In modern design, rock engineering is considered as a system and it is necessary to establish the key variables and interactions between the variables within the system as a precursor to design. Then, questions concerning (i) the information required to characterize the system, (ii) the uncertainty associated with this information, and (iii) the influence that this has on decision making, naturally arise and need to be addressed. We consider the application of information theory to geotechnical engineering through interpretation of informatic concepts in a rock mechanics context. Examples are then given, concentrating on the ideas of information received in sequential phases of site investigation, the information content of rock-mass classification systems, and the information content of scalar and vector quantities using discontinuity frequency as an example. In the concluding section, there are recommendations for making improvements to site investigation using information theory.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Geotechnical and geological engineering 15 (1997), S. 145-180 
    ISSN: 1573-1529
    Keywords: information ; site investigation ; rock engineering ; auditing ; uncertainty
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences
    Notes: Summary Although there is general awareness that uncertainty, information and decision making are key elements of site investigation, there has previously been little comprehensive attempt to formalize these factors in the site investigation process. In modern design, rock engineering is considered as a system and it is necessary to establish the key variables and interactions between the variables within the system as a precursor to design. Then, questions concerning (i) the information required to characterize the system, (ii) the uncertainty associated with this information, and (iii) the influence that this has on decision making, naturally arise and need to be addressed. We consider the application of information theory to geotechnical engineering through interpretation of informatic concepts in a rock mechanics context. Examples are then given, concentrating on the ideas of information received in sequential phases of site investigation, the information content of rock-mass classification systems, and the information content of scalar and vector quantities using discontinuity frequency as an example. In the concluding section, there are recommendations for making improvements to site investigation using information theory.
    Type of Medium: Electronic Resource
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  • 6
    ISSN: 1573-8868
    Keywords: heterogeneity ; Monte-Carlo analysis ; uncertainty ; geostatistics ; conditioning ; self-calibrated method
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Transmissivity and head data are sampled from an exhaustive synthetic reference field and used to predict the arrival positions and arrival times of a number of particles transported across the field, together with an uncertainty estimate. Different combinations of number of transmissivity data and number of head data used are considered in each one of a series of 64 Monte-Carlo analyses. In each analysis, 250 realizations of transmissivity fields conditioned to both transmissivity and head data are generated using a novel geostatistically based inverse method. Pooling the solutions of the flow and transport equations in all 250 realizations allows building conditional frequency distributions for particle arrival positions and arrival times. By comparing these fresquency distributions, we can assess the incremental gain that additional head data provide. The main conclusion is that the first few head data dramatically improve the quality of transport predictions.
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  • 7
    Electronic Resource
    Electronic Resource
    Springer
    Environmental geochemistry and health 17 (1995), S. 159-168 
    ISSN: 1573-2983
    Keywords: Arsenic ; exposure ; soil ; children ; Monte Carlo ; probabilistic ; uncertainty
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Medicine
    Notes: Abstract Probabilistic modelling using Monte Carlo simulation has been proposed as a more scientifically valid method of estimating soil contaminant exposures than conservative deterministic methods currently used by regulatory agencies. A retrospective application of probabilistic modelling to an exposure scenario involving arsenic-contaminated residential soil near the former ASARCO smelter near Tacoma, Washington is presented. The population of interest is children, aged 2–6 years, living within one-half mile (0.3 km) of the smelter site. Models that predict urinary arsenic levels based on unintentional soil ingestion and inhalation exposure pathways are used. Distributions of exposure variables are based on site-specific data and previous exposure studies. Simulated urinary arsenic levels are compared with data from two biomonitoring studies performed during the late 1980s. Arsenic distributions produced by simulation and biomonitoring are significantly different, and likely contributors to this difference are discussed. However the probabilistic model provides closer estimations of urinary arsenic levels than conservative deterministic models similar to those used by regulatory agencies, and provides useful information regarding parameter uncertainty. Soil ingestion rate was a driving variable in the probabilistic models. Further quantification of soil ingestion rates is warranted.
    Type of Medium: Electronic Resource
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  • 8
    Electronic Resource
    Electronic Resource
    Springer
    Stochastic environmental research and risk assessment 8 (1994), S. 259-268 
    ISSN: 1436-3259
    Keywords: Rainfall ; runoff ; modeling ; uncertainty ; stochastics ; stochastic integral equations
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract In this paper a very general rainfall-runoff model structure (described below) is shown to reduce to a unit hydrograph model structure. For the general model, a multi-linear unit hydrograph approach is used to develop subarea runoff, and is coupled to a multi-linear channel flow routing method to develop a link-node rainfall-runoff model network. The spatial and temporal rainfall distribution over the catchment is probabilistically related to a known rainfall data source located in the catchment in order to account for the stochastic nature of rainfall with respect to the rain gauge measured data. The resulting link node model structure is a series of stochastic integral equations, one equation for each subarea. A cumulative stochastic integral equation is developed as a sum of the above series, and includes the complete spatial and temporal variabilities of the rainfall over the catchment. The resulting stochastic integral equation is seen to be an extension of the well-known single area unit hydrograph method, except that the model output of a runoff hydrograph is a distribution of outcomes (or realizations) when applied to problems involving prediction of storm runoff; that is, the model output is a set of probable runoff hydrographs, each outcome being the results of calibration to a known storm event.
    Type of Medium: Electronic Resource
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  • 9
    Electronic Resource
    Electronic Resource
    Springer
    Natural hazards 9 (1994), S. 215-233 
    ISSN: 1573-0840
    Keywords: Seismic hazard ; random source location ; random boundary ; source zone boundary ; seismic sources ; uncertainty ; earthquakes ; statistical analysis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract Demarcation of areal and linear seismic sources involves a certain degree of uncertainty and this should be reflected in the final seismic hazard results. The uncertainty associated with the description of the geographical coordinates of a source zone boundary is modeled by introducing the concept of ‘random boundary’, where the location of the boundary is assumed to exhibit a spatial bivariate Gaussian distribution. Here the mean vector denotes the best estimate of location and the variance reflects the magnitude of location uncertainty, which may be isotropic or may show spatial directivity. The consideration of spatial randomness in the boundaries smooths the seismicity parameters and permits the gradual transitions of these to occur across border zones. Seismic sources modeled as lines can also be attributed random geometrical properties. The sensitivity of seismic hazard results to the isotropic and direction dependent location uncertainty is examined on the basis of hypothetical case studies. Area and line source location uncertainties are examined separately because they are reflected in the eventual outcome of the analyses in a complicated manner. The effect of random source zone boundaries on the expected peak ground acceleration is tested for a specific site in Turkey by conducting a comprehensive seismic hazard analysis.
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  • 10
    Electronic Resource
    Electronic Resource
    Springer
    Natural hazards 6 (1992), S. 201-226 
    ISSN: 1573-0840
    Keywords: Seismic hazard ; Jordan ; earthquakes ; uncertainty ; Bayesian method ; intensity attenuation ; expert opinion
    Source: Springer Online Journal Archives 1860-2000
    Topics: Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract Probabilistic methods are used to quantify the seismic hazard in Jordan and neighbouring regions. The hazard model incorporates the uncertainties associated with the seismicity parameters and the attenuation equation. Seven seismic sources are identified in the region and the seismicity parameters of these sources are estimated by making use of all the available information. Seismic hazard computations and the selection of peak ground acceleration and modified Mercalli intensity values at the nodes of a 25 × 25 km mesh covering the region under study are carried out by two different computer programs. The results of the study are presented through a set of seismic hazard maps displaying iso-acceleration and iso-intensity contours corresponding to specified return periods. The first set of maps is derived based on the seismicity data assessed in this study and display our ‘best’ estimate of the seismic hazard for Jordan and the neighbouring areas. The second set of maps which shows the ‘alternative’ estimate of seismic hazard is based solely on the seismicity parameters reported by other researchers. The third set of maps, called the ‘Bayesian’ estimate of seismic hazard, reflects the influence of expert opinion involving more conservative assumptions regarding the Red Sea and Araba faults.
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  • 11
    ISSN: 1573-0581
    Keywords: microearthquake ; hypocenter ; resolution ; error ; uncertainty
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Physics
    Notes: Abstract For microearthquake surveys conducted with small networks in regions where the seismic velocity structure has large vertical gradients, the formal errors accompanying hypocentral solutions obtained by a generalized inverse method may be misleading since they do not incorporate the effects of nonlinearity in travel times. An alternative method for estimating uncertainties involves calculating travel time residuals over a regular grid and using the F statistic to contour confidence volumes. We present a statistical expression for the latter confidence limits that is applicable when an independent estimate of arrival time errors is available from observations accumulated for a number of earthquakes. Synthetic experiments comparing the results of the grid search and generalized inverse methods show that in cases where solutions are obtained either without S wave information or for epicenters which lie well outside the network, the effects of nonlinearity on the shape of the confidence regions may be significant. However, for the well-observed events both methods yield comparable confidence volumes in good agreement with the distribution of hypocenters obtained from repeated locations incorporating random errors. The generalized inverse method has the advantage that it requires fewer calculations, so the examination of systematic errors in hypocentral parameters produced by uncertainties in the seismic velocity structure can be studied in a more computationally efficient manner. Except in the cases of poorly resolved earthquakes, the effects of nonlinearity on uncertainties in hypocentral parameters can be observed by the application of the F statistic to the variation of the generalized inverse travel time residuals with focal depth.
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  • 12
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 23 (1991), S. 289-295 
    ISSN: 1573-8868
    Keywords: deposit shapes ; prediction ; uncertainty ; fuzzy sets ; relations ; tolerances
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract This paper presents a theoretical background for the prediction method enabling estimating an unknownS n stratum-shape using the information aboutS 0, S1, ...,S n−1—known shapes, obtained during exploitation process in open-pit mines. The method allows to infer about the uncertainty of such a prediction and may form the basis for the estimation of ore reserves in the exploitation area, from information about shapes and boreholes descriptions.
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  • 13
    Electronic Resource
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    Springer
    Journal of paleolimnology 3 (1990), S. 253-267 
    ISSN: 1573-0417
    Keywords: paleolimnology ; PIRLA ; 210Pb dating ; error analysis ; uncertainty ; constant-rate-of-supply model ; constant-flux model
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Geosciences
    Notes: Abstract Lead-210 assay and dating are subject to several sources of error, including natural variation, the statistical nature of measuring radioactivity, and estimation of the supported fraction. These measurable errors are considered in calculating confidence intervals for 210Pb dates. Several sources of error, including the effect of blunders or misapplication of the mathematical model, are not included in the quantitative analysis. First-order error analysis and Monte Carlo simulation (of cores from Florida PIRLA lakes) are used as independent estimates of dating uncertainty. CRS-model dates average less than 1% older than Monte Carlo median dates, but the difference increases non-linearly with age to a maximum of 11% at 160 years. First-order errors increase exponentially with calculated CRS-model dates, with the largest 95% confidence interval in the bottommost datable section being 155±90 years, and the smallest being 128±8 years. Monte Carlo intervals also increase exponentially with age, but the largest 95% occurrence interval is 152±44 years. Confidence intervals calculated by first-order methods and ranges of Monte Carlo dates agree fairly well until the 210Pb date is about 130 years old. Older dates are unreliable because of this divergence. Ninety-five per cent confidence intervals range from about 1–2 years at 10 years of age, 10–20 at 100 years, and 8–90 at 150 years old.
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  • 14
    Electronic Resource
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    Springer
    Mathematical geology 21 (1989), S. 309-318 
    ISSN: 1573-8868
    Keywords: uncertainty ; fuzzy sets ; strength parameters ; workability coefficient
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract The problem of fuzzy searching for hard workability rock areas is divided into two steps. The first is description of uncertainty of compressive strength, internal friction angle, and cohesion. The second is description of workability coefficient via fuzzy sets. The method presented is used in a computer program, which is an element of data base utility library.
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  • 15
    ISSN: 1573-8868
    Keywords: uncertainty ; performance assessment ; radioactive waste disposal
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Federal regulations governing the disposal of high-level radioactive waste in deep, geologic repositories require an assessment of performance over thousands of years. Because of the long regulatory period involved and the complex nature of the events and processes of interest, prediction of the performance of the disposal system will inevitably include uncertainties. These uncertainties come from a variety of sources, and some are quantifiable and others are not. This paper discusses these uncertainties and outlines approaches for their treatment. Recommendations for the potential resolution of current limitations in the treatment of uncertainties in performance assessment are made. Some general issues, as well as a suggested approach for incorporating expert judgment into quantitative performance assessment analysis, are discussed also.
    Type of Medium: Electronic Resource
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