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Exploration & Production: The Oil & Gas Review - 2003, Volume 2


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ARTICLES
Bilinear Pressure Signatures of Horizontal Wells
Professor Tom A Jelmert
Professor of Petroleum Engineering, Norwegian University of Science and Technology (NTNU
Originally printed in:
Exploration & Production: The Oil & Gas Review - 2003, Volume 2

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APPENDIX D

For bi-linear flow in the horizontal plane we derive the following equations. The governing equations are for the main region, see Fig. 1 



Note that the factor 2 in the second term takes into account that there are two side regions feeding fluid into the main region. 



For the side region, the governing equations are:

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Tom A Jelmert is Professor of Petroleum Engineering with the Norwegian University of Science and Technology (NTNU), Trondheim, Norway. He has worked with NTNU since 1985. From 1986 to 1997 he also held a position as Adjunct Professor of Mathematics and Physics at the Academy of The Royal Norwegian Air Force. Between 1978 and 1985 he was a research engineer with SINTEF, Trondheim. Professor Jelmert has been a guest scientist with the University of Tulsa, Oklahoma, in the period 1989 to 1990 and with the Colorado School of Mines from 2000 to 2001. He served as a member of the editorial board of the Journal of Petroleum Science and Technology from 1996 to 2002. Professor Jelmert holds a BSc in Electrical Engineering from Purdue University, Indiana and MSc and Dr Ing. degrees in Petroleum Engineering from the Norwegian Institute of Technology (NTH), Trondheim.


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