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A limit form of the equations for immiscible displacement in a fractured reservoir |
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| Authors: | Jim Douglas Jr. Paulo Jorge Paes-Leme Jeffrey L. Hensley |
| Affiliation: | (1) Department of Mathematics, Purdue University, 47907 West Lafayette, IN, UK;(2) Instituto Politécnico do Rio de Janeiro, 28600 Nova Friburgo, R.J., Brasil;(3) Departamento de Matemática, Pontificia Universidade Católica do R.J., 22453 Rio de Janeiro, R.J., Brasil;(4) Department of Mathematics, Purdue University, 47907 West Lafayette, IN, UK |
| Abstract: | We study a model for simulating the flow of an immiscible displacement (waterflooding) of one incompressible fluid by another in a naturally fractured petroleum reservoir when the matrix blocks are quite small. This model is equivalent to a transformed one for immiscible flow in an unfractured reservoir with a reduced saturation and a saturation-dependent porosity. Existence and uniqueness of classical solutions are established. We present some numerical results and a comparison with a single porosity model. |
| Keywords: | Immiscible displacement fractured reservoir single porosity model porous medium double porosity immiscible flow fractured reservoir |
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