Production-Based Effective Vertical Permeability for a Horizontal Well in the Presence of Stochastic Distribution of Shales

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Abstract/Contents

Abstract
The presence of a stochastic distribution of impermeable shale sheets strongly affects theproduction performance of a horizontal well. Oil recovery is drastically reduced and its uncertainty is dramatically increased for a reservoir with high shale density and long correlation range.The construction of a probability distribution (PDF) of the oil recovery on the basis of many stochastic images requires a lot of work and computation time. However, that PDF can be easily approximated if a single ranking parameter is assigned to each realization. Conventional effective vertical permeability, which is based on vertical single phase flow (Kv-eff) was tested first since it governs horizontal well productivity. This attempt turned out to be unsuccessful because of the inappropriate representation of inner and outer boundary conditions applied to the domain.Production-based effective vertical permeability (Kp-eff), which honors both outer and inner boundary conditions, was tried next. It successfully ranked each realization in terms of oil recovery after ten years with excellent accuracy. The correlation between Kp-eff and recovery is independent of the shale density or correlation range. This study shows that it is extremely important to honor the appropriate boundary conditions to obtain a representative permeability. The conventional permeability renormalization technique, in which either no flow or constant pressure boundarys are applied to coarse grids, fails for this reason.

Description

Type of resource text
Date created December 1993

Creators/Contributors

Author Yamada, Tomomi
Primary advisor Hewett, Thomas A.
Degree granting institution Stanford University, Department of Petroleum Engineering

Subjects

Subject School of Earth Energy & Environmental Sciences
Genre Thesis

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User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.

Preferred citation

Preferred Citation
Yamada, Tomomi. (1993). Production-Based Effective Vertical Permeability for a Horizontal Well in the Presence of Stochastic Distribution of Shales. Stanford Digital Repository. Available at: https://purl.stanford.edu/dk343jb2070

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Master's Theses, Doerr School of Sustainability

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