NUMERICAL RESERVOIR SIMULATION USING AN ORDINARY-DIFFERENTIAL-EQUATIONS INTEGRATOR.

R. F. Sincovec

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Citations (Scopus)

Abstract

The method of lines used in conjuction with a sophisticated ordinary-differential-equations integrator is an effective approach for solving nonlinear, partial differential equations and is applicable to the equations describing fluid flow through porous media. Given the initial values, the integrator is self-starting. Subsequently, it automatically and reliably selects the time step and order, solves the nonlinear equations (checking for convergence, etc. ), and maintains a user-specified time-integration accuracy, while attempting to complete the problem in a minimal amount of computer time. The advantages of this approach, such as stability, accuracy, reliability, and flexibility are discussed. The method is applied to reservoir simulation, including high-rate and gas-percolation problems, and appears to be readily applicable to compositional models. Equations and tables demonstrate method.

Original languageEnglish (US)
Title of host publicationSoc Pet Eng AIME J
Pages255-264
Number of pages10
Volume15
Edition3
StatePublished - Jun 1975

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Nonlinear equations
Ordinary differential equations
Partial differential equations
Porous materials
Flow of fluids
Gases

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Sincovec, R. F. (1975). NUMERICAL RESERVOIR SIMULATION USING AN ORDINARY-DIFFERENTIAL-EQUATIONS INTEGRATOR. In Soc Pet Eng AIME J (3 ed., Vol. 15, pp. 255-264)

NUMERICAL RESERVOIR SIMULATION USING AN ORDINARY-DIFFERENTIAL-EQUATIONS INTEGRATOR. / Sincovec, R. F.

Soc Pet Eng AIME J. Vol. 15 3. ed. 1975. p. 255-264.

Research output: Chapter in Book/Report/Conference proceedingChapter

Sincovec, RF 1975, NUMERICAL RESERVOIR SIMULATION USING AN ORDINARY-DIFFERENTIAL-EQUATIONS INTEGRATOR. in Soc Pet Eng AIME J. 3 edn, vol. 15, pp. 255-264.
Sincovec RF. NUMERICAL RESERVOIR SIMULATION USING AN ORDINARY-DIFFERENTIAL-EQUATIONS INTEGRATOR. In Soc Pet Eng AIME J. 3 ed. Vol. 15. 1975. p. 255-264
Sincovec, R. F. / NUMERICAL RESERVOIR SIMULATION USING AN ORDINARY-DIFFERENTIAL-EQUATIONS INTEGRATOR. Soc Pet Eng AIME J. Vol. 15 3. ed. 1975. pp. 255-264
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