Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells
Abstract
We develop a mathematical model for the interaction of a three-dimensional reservoir with the flow through wells, namely narrow cylindrical channels cutting across the reservoir. Leak off or sink effects are taken into account. To enable the simulation of complex configurations featuring multiple wells, we apply a model reduction technique that represents the wells as one-dimensional channels. The challenge in this case is to account for the...
Paper Details
Title
Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells
Published Date
Jan 20, 2019
Volume
10
Issue
1
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