Mathematical model and numerical method for spontaneous potential log in heterogeneous formations
type: Item
instance of: scholarly article
title: Mathematical model and numerical method for spontaneous potential log in heterogeneous formations
zbMATH Open document ID: 1173.86002
author: Kejia Pan
author: Yongji Tan
author: Hongling Hu
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 2009-05-04T00:00:00Z
review text: This paper introduces a new spontaneous potential log model for the case in which formation resistivity is not piecewise constant. The spontaneous potential satisfies an elliptic boundary value problem with jump conditions on the interfaces. It has been shown that the elliptic interface problem has a unique weak solution. Furthermore, a jump condition capturing finite difference scheme is proposed and applied to solve such elliptic problems. Numerical results show validity and effectiveness of the proposed method.
reviewed by: Nina Shokina
Mathematics Subject Classification ID: 86A22
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J20
Mathematics Subject Classification ID: 86A60
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 5550588
zbMATH Keywords: spontaneous potential log
zbMATH Keywords: elliptic interface problems
zbMATH Keywords: mathematical model
zbMATH Keywords: numerical simulation
MaRDI profile type: Publication
full work available at URL: s10483-009-0208-z
OpenAlex ID: W2067782676
cites work: Q4146660
cites work: Q4303184
cites work: A class of non-local boundary value problems for partial differential equations and its applications in numerical analysis
cites work: Asymptotic behavior for a class of elliptic equivalued surface boundary value problem with discontinuous interface conditions
cites work: Convergence of a numerical method in mathematical spontaneous potential well-logging
cites work: Q4366841
DOI: 10.1007/S10483-009-0208-Z
description: scientific article; zbMATH DE number 5550588