Some New Analytical Solutions to Pressure Behavior in a Stratified Porous Medium
Abstract/Contents
- Abstract
- The purpose of this work is to investigate theoretically the effects of double permeability on reservoir performance.Traditionally, we use a system of diffusivity equations to describe multi-layered fluid flow. However, it is not always satisfactory to interpret field data using such a model. In this work, we study $the properties of layered reservoir fluid flow, and obtain the solution for two different outer boundary conditions ( closed outer boundary, and constant pressure outer boundary ) while still using a constant rate inner boundary condition. For simplicity, we take a two-layered formation to analyze the pressure behavior.For the reservoirs with finite geometry, we obtain the theoretical basis to estimate reservoir pore volume for a layelred reservoir through mathematical operations. As soon as the fluid flow reaches pseudosteady state, the pressure drops linearly with time. The mathematical solutions for the two layers are almost symmetric with a shift value reflecting the reservoir properties.The solutions were plotted in semilog coordinates with pressure or pressure difference vs. time. The early time transitions are included in these plots. We can see that at early time there is a pressure difference between the two layers, as time increases, the difference gets smaller. We may expect that when time becomes infinite, the pressure differences between the two layers disappear. However, the reservoir fluid flow reaches pseudosteady state at intermediate time. There are many factors determining the pressure behaviors, among them, the interflow coefficient a , heterogeneity factor 6 and the reservoir geometry are most important. As a becomes smaller, the pressure difference between the two layers gets larger. If the ratio of k1 and k2 is large, the reservoir tend to have double porosity behavior. Other observations will be discussed in detail in the report.
Description
| Type of resource | text |
|---|---|
| Date created | January 1986 |
Creators/Contributors
| Author | Liang, Jun |
|---|---|
| Primary advisor | Horne, Roland N. |
| Degree granting institution | Stanford University, Department of Petroleum Engineering |
Subjects
| Subject | School of Earth Energy & Environmental Sciences |
|---|---|
| Genre | Thesis |
Bibliographic information
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Preferred citation
- Preferred Citation
- Liang, Jun. (1986). Some New Analytical Solutions to Pressure Behavior in a Stratified Porous Medium. Stanford Digital Repository. Available at: https://purl.stanford.edu/ww700dh5891
Collection
Master's Theses, Doerr School of Sustainability
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- brannerlibrary@stanford.edu
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