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1. Gunatilake, Janitha. Modeling and simulation for the evaluation of the productivity index in stratified reservoir-well systems.

Degree: Mathematics and Statistics, 2010, Texas Tech University

Our research is mainly focused on modeling the "Productivity Index" of a two-layered reservoir well system with linear Darcy flow. In particular, we consider two systems. For the first system, the permeability of the top layer is relatively small and is approaching to 0. The permeability of the top layer is exactly equal to 0 in the second system. For the Pseudo Steady State regime, we want the Productivity index of the former case to be convergent to the latter case. From the governing equations of the fluid flow in porous media, we develop a theoretical model for the system. Since we do not get the required convergence with the existing definition of the Productivity Index, we introduce a new definition to the Productivity Index taking porosity of the porous media into account. With this new definition, it was conjectured that under certain restrictions to the porosity, the first system converges to the second system. This conjecture was validated by the simulation results. Advisors/Committee Members: Aulisa, Eugenio (Committee Chair), Ibragimov, Akif (committee member), Toda, Magdalena D. (committee member).

Subjects/Keywords: Porous media; Productivity index; Multi-layer reservoir; Pseudo steady state

…corresponds to the reservoir-well system where the top layer has been removed. See Figure 1.2… …k3 be constants. We assume k = k1 for the top layer of the reservoir, U 1 and k = k2 for… …the bottom layer of the reservoir. Furthermore, we assume k = k3 for the well. The… …similar to top layer removed from the reservoir. See Figure 3.2. As k1 approaches 0, the former… …consider a two-layered reservoir well system, with a fully penetrated vertical well located at… 

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Gunatilake, J. (2010). Modeling and simulation for the evaluation of the productivity index in stratified reservoir-well systems. (Thesis). Texas Tech University. Retrieved from http://hdl.handle.net/2346/ETD-TTU-2010-12-1128

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16th Edition):

Gunatilake, Janitha. “Modeling and simulation for the evaluation of the productivity index in stratified reservoir-well systems.” 2010. Thesis, Texas Tech University. Accessed October 27, 2020. http://hdl.handle.net/2346/ETD-TTU-2010-12-1128.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Gunatilake, Janitha. “Modeling and simulation for the evaluation of the productivity index in stratified reservoir-well systems.” 2010. Web. 27 Oct 2020.

Vancouver:

Gunatilake J. Modeling and simulation for the evaluation of the productivity index in stratified reservoir-well systems. [Internet] [Thesis]. Texas Tech University; 2010. [cited 2020 Oct 27]. Available from: http://hdl.handle.net/2346/ETD-TTU-2010-12-1128.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Gunatilake J. Modeling and simulation for the evaluation of the productivity index in stratified reservoir-well systems. [Thesis]. Texas Tech University; 2010. Available from: http://hdl.handle.net/2346/ETD-TTU-2010-12-1128

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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