Type of Document	Master's Thesis
Author	Lu, Jing
Author's Email Address	jilu2@math.vt.edu
URN	etd-8798-13564
Title	A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis
Degree	Master of Science
Department	Mathematics
Advisory Committee	Advisor Name Title Lin, Tao Committee Chair Rogers, Robert C. Committee Member Sun, Shu-Ming Committee Member
Keywords	Well Testing Productivity Horizontal Well
Date of Defense	1998-09-03
Availability	unrestricted
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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