Calculation of shocks in oil reservoir modeling and porous flow

Conference · Mon Mar 01 04:00:00 EST 1982

OSTI ID:6751500

Concus, P

For many enhanced recovery methods propagating fronts arise that may be steep or discontinuous. One example is the waterflooding of a petroleum reservoir, in which there is forced out residual oil that remains after outflow by decompression has declined. In this paper high-resolution numerical methods to solve porous flow problems having propagating discontinuities are discussed. The random choice method can track solution discontinuities sharply and accurately for one space dimension. The first phase of this study adapted this method for solving the Buckley-Leverett equation for immiscible displacement in one space dimension. Extensions to more than one space dimension for the random choice method were carried out subsequently by means of fractional splitting. Because inaccuracies could be introduced for some problems at dicontinuity fronts propagating obliquely to the splitting directions, efforts are currently being directed at investigating alternatives for multidimensional cases.

• Research Organization: Lawrence Livermore National Lab., CA (USA)
• DOE Contract Number: AC03-76SF00098
• OSTI ID: 6751500
• Report Number(s): LBL-14689; CONF-820395-1; ON: DE83001567
• Country of Publication: United States
• Language: English

Related Subjects

02 PETROLEUM
020300* -- Petroleum-- Drilling & Production
ENERGY SOURCES
ENHANCED RECOVERY
EQUATIONS
FLUID FLOW
FLUID INJECTION
FOSSIL FUELS
FUELS
GEOLOGIC DEPOSITS
MATERIALS
MATHEMATICAL MODELS
MINERAL RESOURCES
MULTIPHASE FLOW
PETROLEUM
PETROLEUM DEPOSITS
POROUS MATERIALS
RECOVERY
RESIDUAL PETROLEUM
RESOURCES
SHOCK WAVES
WATERFLOODING