Title page for ETD etd-8798-13564

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
  • Well Testing
  • Productivity
  • Horizontal Well
Date of Defense 1998-09-03
Availability unrestricted
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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