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Boundary-value problem

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Proceedings Papers

Paper presented at the 1989 SEG Annual Meeting, October 29–November 2, 1989
Paper Number: SEG-1989-1068
... ABSTRACT No preview is available for this paper. finite difference scheme 4th-order scheme grid initial boundary value problem calculation difference operator equation discretization cohen operator propagation seg annual international meeting wave equation reservoir...
Journal Articles
SPE J. 17 (05): 345–352.
Paper Number: SPE-5726-PA
Published: 01 October 1977
... partial differential equation Upstream Oil & Gas boundary condition basis function Galerkin Method differential equation finite-difference method Generalized Collocation Methods for Time-Dependent, Nonlinear Boundary- Value Problems ABSTRACT R. F. SINCOVEC* MEMBER SPE~AIME This paper briefly...
Journal Articles
SPE J. 11 (04): 374–388.
Paper Number: SPE-2806-PA
Published: 01 December 1971
...W.E. Culham; Richard S. Varga This paper presents and examines in detail extensions to the Galerkin method oil solution that make it numerically superior to conventional methods used to solve a certain class of time-dependent, nonlinear boundary value problems. This class of problems includes...
Journal Articles
SPE J. 9 (02): 204–220.
Paper Number: SPE-2034-PA
Published: 01 June 1969
... numerical solution multiphase flow approximation dx dy pressure gradient Fluid Dynamics boundary value problem inequality matrix unit square subspace Galerkin Method basis element equation Upstream Oil & Gas block ri basis function varga exact solution Galerkin Methods...
Proceedings Papers

Paper presented at the 11th ISRM Congress, July 9–13, 2007
Paper Number: ISRM-11CONGRESS-2007-173
... of the strains. Since strains have the differential relations with displacements as shown in equations 4 and 5, the strain changes can be estimated from the measured displacements. 3 BOUNDARY CONDITIONS Generally speaking, a boundary value problem can be divided into "stress boundary value problem...
Proceedings Papers

Paper presented at the The 27th International Ocean and Polar Engineering Conference, June 25–30, 2017
Paper Number: ISOPE-I-17-702
... of modern mathematicians Hall [Li ZC, etc 2013], and American scholar Lang [Ramachandran PA 2002] also discussed Lie-group and Lie algebra. As the development of group theory is maturing, matures, many physical problems are solved, such as coupling problem, boundary value problem and ordinary differential...
Proceedings Papers

Paper presented at the The Third International Offshore and Polar Engineering Conference, June 6–11, 1993
Paper Number: ISOPE-I-93-296
... of hydrodynamically loaded cable has been developed by Chiou and IISOPE Member Leonard (1991) in which the problem is formulated as a two point boundary value problem. The boundary value problem is then transformed into an iterative set of quasi-linearized boundary value problems, which is then decomposed (Atkinson...
Proceedings Papers

Paper presented at the Offshore Technology Conference, April 21–23, 1970
Paper Number: OTC-1281-MS
... at two q.ifferent points along thecable These boundary value problems are commonly solved for the equilib- rium position of the cable by integrating a family of initial value problems and then se- lecting the desired solution. An iterative solution technique is pre- sented by which boundary value...
Proceedings Papers

Paper presented at the 6th ISRM Congress, August 30–September 3, 1987
Paper Number: ISRM-6CONGRESS-1987-214
... ABSTRACT: Conditions which are decisive for the stability of deep underground excavations are investigated in a numerical study. First a nonassociated elasto-plastic constitutive relation for brittle materials is derived. It is shown that an originally load controlled boundary value problem...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 26–29, 2004
Paper Number: SPE-89919-MS
... injection results in a Riemann problem for this hyperbolic system. The displacement of oil by a polymer slug with water drive is described by an initial and boundary value problem with piecewise constant initial data and results in wave interactions. The Riemann problem for the displacement of oil by hot...
Proceedings Papers

Paper presented at the The Nineteenth International Offshore and Polar Engineering Conference, July 21–26, 2009
Paper Number: ISOPE-I-09-049
... In most of the wave theories, a boundary value problem consisting of a partial differential equation and certain boundary conditions describing the various boundaries is solved in an approximate way. The complete boundary value problem has not been solved, even in the simple case of constant...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, September 26–29, 2004
Paper Number: SPE-89935-MS
... of a well produced with constant rate. In this work we present a new technique to evaluate single well productivity indices both for constant pressure and for constant rate conditions. The approach is based on the solution of two steady state boundary value problems with constant pressure prescribed...
Proceedings Papers

Paper presented at the The Eighth International Offshore and Polar Engineering Conference, May 24–29, 1998
Paper Number: ISOPE-I-98-241
... ABSTRACT In this paper, the fully nonlinear computations are done in the time-domain, using an Euler-Lagrange method. At each time step, the resulting mixed boundary value problem is solved using desingularized isolated sources. On the free-surface, the kinematic condition is used to time step...
Proceedings Papers

Paper presented at the ISRM International Symposium, September 12–16, 1988
Paper Number: ISRM-IS-1988-066
... in the transformed field, since the boundaryes there are all rectangular, and the computation in the transformed field thus is 536 regardless physical ofon a square grid the shape of the boundaries. Several transformed region configurationsmay be obtained rut the discution of this matter is out of the scope...
Proceedings Papers

Paper presented at the SPE California Regional Meeting, March 27–29, 1985
Paper Number: SPE-13626-MS
... SPE Member Abstract A general theory of Green's functions for solving boundary-initial value problems governed by two linear pressure diffusion equations coupled through a fluid transfer term which depends on the pressure histories, is presented. The governing pressure histories, is presented...
Proceedings Papers

Paper presented at the SPE Asia Pacific Oil and Gas Conference and Exhibition, October 18–20, 2004
Paper Number: SPE-88461-MS
...) hyperbolic system of conservation laws, where n is the number of components in the displacing phase. Continuous polymer injection results in a Riemann problem for this hyperbolic system. The displacement of oil by a polymer slug with water drive is described by an initial and boundary value problem...
Proceedings Papers

Paper presented at the SPE Annual Technical Conference and Exhibition, October 1–4, 2000
Paper Number: SPE-62976-MS
... a tomographic method), the permeability can be directly obtained from the solution of a non-linear boundary-value problem. In this paper we extend this approach to the case when the porous medium is anisotropic. When the principal axes of anisotropy are known and fixed, a procedure is proposed, in which...
Proceedings Papers

Paper presented at the The Sixteenth International Offshore and Polar Engineering Conference, May 28–June 2, 2006
Paper Number: ISOPE-I-06-288
...) is employed to solve the boundary value problem at each time step. The fourth-order predictor-corrector Adams-Bashforth- Moulton (ABM4) scheme is used for the time-stepping integration of instantaneous free surface boundary conditions. A damping layer near the end-wall of wave tank is added to absorb...
Journal Articles
Int. J. Offshore Polar Eng. 29 (01): 42–52.
Paper Number: ISOPE-19-29-1-042
Published: 01 March 2019
... is first adopted to eliminate the higher-order numerical oscillation phenomena and noisy dissipation in the boundary value problem. Then, the weighting factors of initial and boundary value problems are introduced into the linear system to prevent the elevation from vanishing without iterative...
Proceedings Papers

Paper presented at the The Twenty-first International Offshore and Polar Engineering Conference, June 19–24, 2011
Paper Number: ISOPE-I-11-114
... equation. The flow problem can be formulated as an initial-boundary value problem. At each time step, the boundary value problem for the velocity potential is solved using a desingularized boundary integral method. A timestepping approach is used, in which the kinematic and dynamic boundary conditions...

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