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Approximate formula for the volume of oil-storing space of a reservoir

Approximate formula for the volume of oil-storing space of a reservoir Vol.7 No.4 ACTA MATHEMATICAE APPLICATAE SINICA Oct., 199.1 APPROXIMATE FORMULA FOR THE VOLUME OF OIL-STORING SPACE OF A RESERVOIR't YU QIHUANG ( ~,~-~b~. ) WU SHENGCHANG ( ~,:j~ ~ ) ZHOU HONG (~ :~ ) (Institute of A pph'ed Mathemah'cs, Aca~err~ Sinic~ ) CHEN YONGMING ( ) HU CHENGXIAN ( ~)~~.~ ) HE HONGXIAN (~J'~j~) (The Centre o! Wdt Teatina Technique, BPGMG, MGMG, Ch~'na ) In the prospecting and exploiting of oil, to estimate the reserves and boundaries of a reservoir has a great significance. Therefore, we propose approximate formulas to estimate the volume of oil-storing space of a reservoir. In regard to the complexity of oil storage in an underground penetration flow, we have to make a simple assumption so that we can establish an appropriate mathematical model. We assume that the reservoir system is homogeneous and isotropic and it has a constant thickness, the fluid flowing into the wellbore is slightly compressible, and the stratigraphic parameters are known. Under these assumptions, if there is a single well reservoir fl E R 2, and the well is located at the coordinate origin (see Fig. 1), then we have lap Ap= _m t >o, (:,y)en, (i) vat' p(x, y, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

Approximate formula for the volume of oil-storing space of a reservoir

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Publisher
Springer Journals
Copyright
Copyright © 1991 by Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A.
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF02009689
Publisher site
See Article on Publisher Site

Abstract

Vol.7 No.4 ACTA MATHEMATICAE APPLICATAE SINICA Oct., 199.1 APPROXIMATE FORMULA FOR THE VOLUME OF OIL-STORING SPACE OF A RESERVOIR't YU QIHUANG ( ~,~-~b~. ) WU SHENGCHANG ( ~,:j~ ~ ) ZHOU HONG (~ :~ ) (Institute of A pph'ed Mathemah'cs, Aca~err~ Sinic~ ) CHEN YONGMING ( ) HU CHENGXIAN ( ~)~~.~ ) HE HONGXIAN (~J'~j~) (The Centre o! Wdt Teatina Technique, BPGMG, MGMG, Ch~'na ) In the prospecting and exploiting of oil, to estimate the reserves and boundaries of a reservoir has a great significance. Therefore, we propose approximate formulas to estimate the volume of oil-storing space of a reservoir. In regard to the complexity of oil storage in an underground penetration flow, we have to make a simple assumption so that we can establish an appropriate mathematical model. We assume that the reservoir system is homogeneous and isotropic and it has a constant thickness, the fluid flowing into the wellbore is slightly compressible, and the stratigraphic parameters are known. Under these assumptions, if there is a single well reservoir fl E R 2, and the well is located at the coordinate origin (see Fig. 1), then we have lap Ap= _m t >o, (:,y)en, (i) vat' p(x, y,

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Jul 14, 2005

References