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Hybrid meshes and domain decomposition for the modeling of oil reservoirs; Maillages hybrides et decomposition de domaine pour la modelisation des reservoirs petroliers

Abstract

In this thesis, we are interested in the modeling of fluid flow through porous media with 2-D and 3-D unstructured meshes, and in the use of domain decomposition methods. The behavior of flow through porous media is strongly influenced by heterogeneities: either large-scale lithological discontinuities or quite localized phenomena such as fluid flow in the neighbourhood of wells. In these two typical cases, an accurate consideration of the singularities requires the use of adapted meshes. After having shown the limits of classic meshes we present the future prospects offered by hybrid and flexible meshes. Next, we consider the generalization possibilities of the numerical schemes traditionally used in reservoir simulation and we draw two available approaches: mixed finite elements and U-finite volumes. The investigated phenomena being also characterized by different time-scales, special treatments in terms of time discretization on various parts of the domain are required. We think that the combination of domain decomposition methods with operator splitting techniques may provide a promising approach to obtain high flexibility for a local tune-steps management. Consequently, we develop a new numerical scheme for linear parabolic equations which allows to get a higher flexibility in the local space and time steps management. To conclude,  More>>
Authors:
Publication Date:
Mar 23, 2000
Product Type:
Thesis/Dissertation
Report Number:
IFP-55-613
Reference Number:
EDB-01:045506
Resource Relation:
Other Information: TH: These analyse numerique; [120 refs.]; PBD: 23 Mar 2000
Subject:
58 GEOSCIENCES; 02 PETROLEUM; RESERVOIR ENGINEERING; RESERVOIR ROCK; POROUS MATERIALS; FLOW MODELS; MESH GENERATION; FINITE ELEMENT METHOD; COMPUTERIZED SIMULATION; DARCY LAW; PERMEABILITY; VELOCITY; RUNGE-KUTTA METHOD; DIRICHLET PROBLEM; INTERFACES; ALGORITHMS
OSTI ID:
20149653
Research Organizations:
Institut Francais du Petrole (IFP), 92 - Rueil-Malmaison (France); Universite Pierre et Marie Curie, 75 - Paris (France)
Country of Origin:
France
Language:
French
Other Identifying Numbers:
TRN: FR0105798
Availability:
Available to ETDE participating countries only(see www.etde.org); commercial reproduction prohibited; OSTI as DE20149653
Submitting Site:
FR
Size:
225 pages
Announcement Date:

Citation Formats

Gaiffe, St. Hybrid meshes and domain decomposition for the modeling of oil reservoirs; Maillages hybrides et decomposition de domaine pour la modelisation des reservoirs petroliers. France: N. p., 2000. Web.
Gaiffe, St. Hybrid meshes and domain decomposition for the modeling of oil reservoirs; Maillages hybrides et decomposition de domaine pour la modelisation des reservoirs petroliers. France.
Gaiffe, St. 2000. "Hybrid meshes and domain decomposition for the modeling of oil reservoirs; Maillages hybrides et decomposition de domaine pour la modelisation des reservoirs petroliers." France.
@misc{etde_20149653,
title = {Hybrid meshes and domain decomposition for the modeling of oil reservoirs; Maillages hybrides et decomposition de domaine pour la modelisation des reservoirs petroliers}
author = {Gaiffe, St}
abstractNote = {In this thesis, we are interested in the modeling of fluid flow through porous media with 2-D and 3-D unstructured meshes, and in the use of domain decomposition methods. The behavior of flow through porous media is strongly influenced by heterogeneities: either large-scale lithological discontinuities or quite localized phenomena such as fluid flow in the neighbourhood of wells. In these two typical cases, an accurate consideration of the singularities requires the use of adapted meshes. After having shown the limits of classic meshes we present the future prospects offered by hybrid and flexible meshes. Next, we consider the generalization possibilities of the numerical schemes traditionally used in reservoir simulation and we draw two available approaches: mixed finite elements and U-finite volumes. The investigated phenomena being also characterized by different time-scales, special treatments in terms of time discretization on various parts of the domain are required. We think that the combination of domain decomposition methods with operator splitting techniques may provide a promising approach to obtain high flexibility for a local tune-steps management. Consequently, we develop a new numerical scheme for linear parabolic equations which allows to get a higher flexibility in the local space and time steps management. To conclude, a priori estimates and error estimates on the two variables of interest, namely the pressure and the velocity are proposed. (author)}
place = {France}
year = {2000}
month = {Mar}
}