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- Title
Non-linear singular integral representation for petroleum reservoir engineering.
- Authors
Ladopoulos, E.
- Abstract
new mathematical model is proposed in order to determine the properties of the reservoir materials, when oil reserves are moving through porous media, which is a very important problem of petroleum reservoir engineering. Thus, the above problem is reduced to the solution of a non-linear singular integral equation, which is numerically evaluated by using the singular integral operators method (SIOM). Also, several properties of the porous medium equation, which is a Helmholtz differential equation, are analyzed and investigated. An application is finally given for a well testing to be checked when an heterogeneous oil reservoir is moving in a porous medium. By using the SIOM, the pressure response from the well test conducted in the above heterogeneous oil reservoir is calculated.
- Subjects
PETROLEUM engineering; NONLINEAR theories; SINGULAR integrals; MATHEMATICAL models; POROUS materials; NUMERICAL solutions to nonlinear integral equations; HELMHOLTZ equation; OIL reservoir engineering
- Publication
Acta Mechanica, 2011, Vol 220, Issue 1-4, p247
- ISSN
0001-5970
- Publication type
Article
- DOI
10.1007/s00707-011-0476-0