The Application of the Boundary Integral Method to Immiscible Displacement Problems
Abstract/Contents
- Abstract
- A method of calculating the movement of a sharp fluid interface during immiscible displacement process is discussed in this paper. There have been many studies for this problem using analytical, numerical and experimental methods. However, none of them has satisfied both accuracy and adaptability. Although analytical methods yield exact solutions, the application is limited to unit mobility ratio displacement and to some simple geometries. On the other hand, numerical methods with finite differences has inherent inaccuracy due to numerical dispersion, although the methods have great flexibility for applications. In this paper, displacement problems with a sharp interface are solved numerically by the Boundary Integral Equation Method (BIEM), which have been developed for flow problems in porous media. This method is especially powerful for solving problems governed by the Laplace equation such as potential flow in porous media. The advantages of this method are: (1) The solutions are accurate as all the approximation are confined to interpolation of given boundary values. The error can be improved significantly by special treatment; (2) It Is easy to apply the method to any geometries with arbitrary boundary conditions; (3) As BlEM requires only one-dimensional grid along the boundary for two-dimensional problems, both time and storage area of a computer can be saved; (4) Pressure and flow velocity at any point can be calculated, and It makes possible to trace a locus of an arbitrary point of the fluid. The solutions for repeating five-spot pattern problems are presented as typical examples for various mobility ratios under the constant flowing well pressure. The locations of an interface and stream lines are presented graphically. The after breakthrough performance are also shown. The solution for the unit mobility ratio case is compared with the analytical solution to prove the accuracy.
Description
| Type of resource | text |
|---|---|
| Date created | June 1985 |
Creators/Contributors
| Author | Masukawa, Junichi |
|---|---|
| Primary advisor | Horne, Roland N. |
| Degree granting institution | Stanford University, Department of Petroleum Engineering |
Subjects
| Subject | School of Earth Energy & Environmental Sciences |
|---|---|
| Genre | Thesis |
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Preferred citation
- Preferred Citation
- Masukawa, Junichi. (1985). The Application of the Boundary Integral Method to Immiscible Displacement Problems. Stanford Digital Repository. Available at: https://purl.stanford.edu/kg779tp2951
Collection
Master's Theses, Doerr School of Sustainability
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