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Title High-resolution miscible and immiscible displacement calculations using multigrid and conservative unsplit multidimensional upwind methods in heterogeneous reservoirs
Creator/Author Rice, W.A.
Publication Date1991 Jan 01
OSTI IdentifierOSTI ID: 5112228
Resource TypeMiscellaneous
Resource RelationThesis (Ph.D.)
Research OrgCalifornia Univ., Berkeley, CA (United States)
Subject020300 -- Petroleum-- Drilling & Production; OIL WELLS-- MISCIBLE-PHASE DISPLACEMENT;PETROLEUM-- ENHANCED RECOVERY; MULTIPHASE FLOW;PRODUCTION;SIMULATION;SOLUBILITY
Related SubjectENERGY SOURCES;FLUID FLOW;FLUID INJECTION;FOSSIL FUELS;FUELS;WELLS
Description/Abstract This research develops an integrated approach for high resolution characterization and high resolution transport modeling, specifically miscible and immiscible displacement, through geometrically complex subsurface reservoir systems.^We apply a high resolution conditional indicator simulation technique to geometrically image the sand/shale heterogeneity of a study area in the Wilmington oil reservoir.^This technique retains the integrity of the flow paths in the reservoir system.^We also develop a high resolution two-phase miscible and immiscible displacement simulator that is applied at the full resolution of the geologic and geophysical data collected in the field.^This simulator uses a robust computational splitting of the parabolic and hyperbolic equations for multiphase flow in a sequential formulation based on total velocity rather than individual phase velocities.^Appropriate high resolution numerics are applied: multigrid methods are used to solve the elliptic pressure equation; while a multidimensional upwind method is used to solve for fluid saturation.^The O(NlogN) convergence property of multilevel techniques persists in complex reservoir geometries and permeability variations of several orders of magnitude.^Thus, the pressure calculation in sufficiently inexpensive permitting calculation of flow and transport at the resolution of available data.^The multidimensional advection algorithm solves the discrete form of the hyperbolic conservation law.^Because of the multidimensional design of the advection algorithm, fluxes are evaluated and differenced simultaneously so that strict conservation is maintained and numerical diffusion minimized.^In our calculations, we see clearly defined displacement fronts that follow the flow path geometry and do not diffuse outside it.^Our methods are observed to be substantially more accurate than first order upwind methods typically found in reservoir production codes.
PublisherBerkeley, CA (United States) ;Univ. of California
Country of PublicationUnited States
LanguageEnglish
FormatPages: (122 p)
AvailabilityUniversity Microfilms, P.O. Box 1764, Ann Arbor, MI 48106 (United States). Order No. 92-28,831
System Entry Date2001 May 13

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