ALBERT — All Library Books, journals and Electronic Records Telegrafenberg

1

Digitale Medien

Numerical methods for heat transfer in hydraulic fracturing (1987)

Bennaceur, K. ; Dunand, A. ; Stephenson, P.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 24 (1987), S. 75-87

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 0029-5981

Schlagwort(e): Engineering ; Engineering General

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik , Technik allgemein

Notizen: During the propagation of a hydraulically induced fracture in a porous material, fluid leak-off occurs from the fracture to the formation. Conduction and convection of heat also take place, owing to the large difference between the fluid injection temperature and that of the reservoir. The paper describes a quasi-two-dimensional heat transfer model coupled with a filtration model. It is then coupled into different coupled fracture propagation models (two-dimensional and quasi-three-dimensional).The rheological characteristics of the fracturing fluid are temperature-dependent with a sharp breakdown. The fluid diffusion model combines cake growth at the fracture face with two-fluid flow in the formation. Temperature profiles along the fracture and the formation are computed during fracture propagation.

Zusätzliches Material: 11 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/nme.1620240106

Permalink

	Standort	Signatur	Erwartet	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

2

Digitale Medien

Estimation of the speed of propagation of intergranular stress waves using a simple elastic contact model (1987)

Stephenson, Stuart E.

Stamford, Conn. [u.a.] : Wiley-Blackwell

Polymer Engineering and Science 27 (1987), S. 1310-1316

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 0032-3888

Schlagwort(e): Chemistry ; Chemical Engineering

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie , Maschinenbau , Physik

Notizen: A model of a granular bed is used to obtain an estimate of the speed of propagation of intergranular stress waves. In the analysis, a simple elastic contact between neighboring grains is assumed. The model may be extended to include more complex Intergranular interaction mechanisms, but at the expense of such a simple analytical solution as that obtained here. The predicted dependence of compression of a granular bed on compressive load is compared with experimental measurements and is found to describe the relationship very well. The simplified analysis gives a general insight into the dependency of wave speed on bed geometry, indicating for example that while wave speed is independent of grain size, it does depend on the Initial porosity of the bed.

Zusätzliches Material: 3 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/pen.760271707

Permalink

	Standort	Signatur	Erwartet	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

3

Digitale Medien

High-order methods for elliptic equations with variable coefficientsThis research is supported by the National Science and Engineering Research Council of Canada operating Grants No. 3054 and No. A 5418. (1987)

Ananthakrishnaiah, U. ; Manohar, R. ; Stephenson, J. W.

New York, NY [u.a.] : Wiley-Blackwell

Numerical Methods for Partial Differential Equations 3 (1987), S. 219-227

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 0749-159X

Schlagwort(e): Mathematics and Statistics ; Numerical Methods

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: In this article, we give a simple method for developing finite difference schemes on a uniform square gird. We consider a general, two-dimensional, second-order, partial differential equation with variable coefficients. In the case of a nine-point scheme, we obtain the known results of Young and Dauwalder in a fairly elegant fashion. We show how this can be extended to obtain fourth-order schemes on thirteen points. We derive two such schemes which are attractive because they can be adapted quite easily bnto obtain formulas for gird points near the boundary. In addition to this, these formulas only require nine evaluations for the typical forcing function. Numerical examples are given to demonstrate the performance of one of the fourth-order schemes.

Zusätzliches Material: 1 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/num.1690030306

Permalink

	Standort	Signatur	Erwartet	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

4

Digitale Medien

Fourth-order finite difference methods for three-dimensional general linear elliptic problems with variable coefficientsThis research is supported by the National Science and Engineering Council of Canada operating Grants No. A 3050 and No. A 5418. (1987)

Ananthakrishnaiah, U. ; Manohar, R. ; Stephenson, J. W.

New York, NY [u.a.] : Wiley-Blackwell

Numerical Methods for Partial Differential Equations 3 (1987), S. 229-240

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 0749-159X

Schlagwort(e): Mathematics and Statistics ; Numerical Methods

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Mathematik

Notizen: In this article, we give a simple method for deriving finite difference schemes on a uniform cubic grid. We consider a general, three-dimensional, second-order, linear, elliptic partial differential equation with variable coefficients. We derive two simple fourth-order schemes. When the coefficients of the second-order mixed derivatives are equal to zero, the fourth-order scheme requires only 19 grid points. When the coefficients of the mixed derivatives are not equal to zero and the coefficients of Uxx, Uyy, and Uzz are equal, we require the 27 points of the cubic grid. Numerical examples are given to demonstrate the performance of the two schemes derived. There does not exist a fourth-order scheme involving 27 grid points for the general case.

Zusätzliches Material: 1 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/num.1690030307

Permalink

	Standort	Signatur	Erwartet	Verfügbarkeit

Andere fanden auch interessant ...

Artikel (Nationallizenzen)

Volltext

5

Digitale Medien

Study of the monomer-dimer equilibrium of nitrosobenzene using multinuclear one- and two-dimensional NMR techniques (1987)

Orrell, Keith G. ; Šik, Vladimir ; Stephenson, David

Chichester : Wiley-Blackwell

Organic Magnetic Resonance 25 (1987), S. 1007-1011

zur Merkliste hinzufügen auf der Merkliste

Details

ISSN: 0749-1581

Schlagwort(e): 13C ; 15N ; 17O NMR 13C ; 2D-EXSY ; nitrosobenzene ; activation energies ; Chemistry ; Analytical Chemistry and Spectroscopy

Quelle: Wiley InterScience Backfile Collection 1832-2000

Thema: Chemie und Pharmazie

Notizen: The monomer-dimer equilibrium of nitrosobenzene in CDCI3 solution was studied in the temperature range -50 to 30 °C using 13C, 15N and 17O NMR spectroscopy. Decreasing temperature favours the dimeric azodioxy species, and below ca 10 °C both cis and trans dimers were detected in addition to the monomer. The relative abundance of the trans dimer is low (≤6%) at all temperatures and this is the first report of its existence in solution. The monomer and dimer species were characterized by their 13C and 15N shifts, and exchange between them was measured quantitatively by 13C 2D-EXSY spectra. Exchange occurred exclusively between the cis-dimer and monomer and between the trans-dimer and monomer, activation energies, ΔG≠(298.15 K) being 65.8±0.1 and 70.0±0.3 kJ mol-1, respectively.

Zusätzliches Material: 4 Ill.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1002/mrc.1260251118

Permalink