Scholarly
    Communications Project


Document Type:Master's Thesis
Name:Jing Lu
Email address:jilu2@math.vt.edu
URN:1998/01001
Title:A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis
Degree:Master of Science
Department:Mathematics
Committee Chair: Dr. Tao Lin
Chair's email:tlin@math.vt.edu
Committee Members:Dr. Robert Rogers, Professor
Dr. Shu-Ming Sun, Assistant Professor
Keywords:Horizontal Well, Productivity, Well Testing
Date of defense:Sept.3, 1998
Availability:Release the entire work for Virginia Tech access only.
After one year release worldwide only with written permission of the student and the advisory committee chair.

Abstract:

This thesis presents new productivity and well testing formulae of horizontal wells. Taking a horizontal well as a uniform line source, this thesis finds velocity potential formula and the productivity formulae for a horizontal well in an ellipsoid of revolution drainage volume by solving analytically the involved three-dimensional partial differential equations. These formulae can account for the advantages of horizontal wells, and they are more accurate than other formulae which are based on two-dimensional hypotheses. This thesis also presents new well testing formulae of horizontal wells in a single porosity system and a double porosity system. Compared with the formulae published in the literatures, our formulae, which do not use the sum of infinite series, are more reasonable and easy to be used in well testing analysis.

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thesis.pdf

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