A Mathematical Model of Horizontal Wells Productivity and Well Testing Analysis

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 literature, our formulae, which do not use the sum of infinite series, are more reasonable and easy to be used in well testing analysis.

Name thesis:degree_name

Master of Science

Level thesis:degree_level

masters

Discipline thesis:degree_discipline

Mathematics

Department dc:contributor.department

Mathematics

Grantor dc:publisher

Virginia Tech

Year dc:date.issued

1998

Author dc:creator

• Lu, Jing

Chair dc:contributor.committeechair

• Lin, Tao

Committee members dc:contributor.committeemember

• Sun, Shu-Ming
• Rogers, Robert C.

• Well Testing
• Productivity
• Horizontal Well

Statement dc:rights

• In Copyright

Licence dc:rights.uri

• http://rightsstatements.org/vocab/InC/1.0/

Dc Identifier Other

etd-8798-13564

OAI identifier oai:identifier

oai:vtechworks.lib.vt.edu:10919/37018