The characteristics-mixed finite element method for enhanced oil recovery simulation and optimal order \(L^ 2\) error estimate
type: Item
instance of: scholarly article
title: The characteristics-mixed finite element method for enhanced oil recovery simulation and optimal order \(L^ 2\) error estimate
zbMATH Open document ID: 0806.76048
published in: Chinese Science Bulletin
publication date: 1995-02-20T00:00:00Z
review text: In order to drive more crude oil from a waterflooded oil field, a practical approach by means of adding chemicals (such as polymers, surfactants and alcohol, etc.) into the flooding fluid has been developed by Chinese field engineers in the past ten years. For theoretical analysis of such an important mathematical model employed for enhanced oil recovery in an oil deposit, the two-dimensional material balance equations for multi-component and multi-phase Darcy flow are established. For solving the material balance equations, a characteristics-mixed element scheme, considering the cross interference, is suggested by the author. The existence and uniqueness of the mixed finite element solution can be easily demonstrated by known theory [\textit{M. F. Wheeler}, SIAM J. Numer. Analysis 10, 723-759 (1973; Zbl 0258.35041); \textit{F. Brezzi}, Revue Franc. Automat. Inform. Rech. operat. 8, R-2, 129-151 (1974; Zbl 0338.90047)] for approximating solution. The convergence analysis of the solution is also intensively studied and proved. It is gained the optimal error estimate in \(L^ 2\) norm.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 86A20
zbMATH DE Number: 541470
zbMATH Keywords: permeability
zbMATH Keywords: chemicals
zbMATH Keywords: material balance equations
zbMATH Keywords: multi-phase Darcy flow
zbMATH Keywords: cross interference
zbMATH Keywords: convergence
author: Yirang Yuan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 541470