Analysis of a model and sequential numerical method for thermal reservoir simulation

Conference · Tue Jul 18 00:00:00 EDT 1989

DOI:https://doi.org/10.3997/2214-4609.201411318· OSTI ID:5951167

Trangenstein, J. A.

In this paper we present and analyze a model for two-component, three-phase, nonisothermal fluid flow in a one-dimensional fluid reservoir. We discuss the thermodynamic principles that constrain the model functions, and analyze the effect of these thermodynamic principles on the flow equations. This analysis allows us to formulate a sequential approach to steam flooding: first a parabolic equation is solved to find the pressure and total fluid velocity, then a system of hyperbolic conservation laws is solved to update the fluid composition and energy. The thermodynamic principles allow us to compute the characteristic speeds and directions in the component/energy conservation equations, and to use these in a second-order Godunov method. 26 refs., 3 figs.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5951167
• Report Number(s): UCRL-101566; CONF-890759-1; ON: DE89015117
• Resource Relation: Conference: Joint IMA/SPE European conference on the mathematics of oil recovery, Cambridge, UK, 25-27 Jul 1989; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
PETROLEUM DEPOSITS
FLOW MODELS
STEAM INJECTION
COMPUTERIZED SIMULATION
CONSERVATION LAWS
EQUATIONS OF STATE
FLUID FLOW
MULTIPHASE FLOW
NUMERICAL SOLUTION
EQUATIONS
FLUID INJECTION
GEOLOGIC DEPOSITS
MATHEMATICAL MODELS
MINERAL RESOURCES
RESOURCES
SIMULATION
020300* - Petroleum- Drilling & Production
990220 - Computers
Computerized Models
& Computer Programs- (1987-1989)