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《应用地球物理(英文版)》 2011-03
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Calculations of rock matrix modulus based on a linear regression relation

He Xi-Lei 1,He Zhen-Hua 1,Wang Rui-Liang 2,Wang Xu-Ben 1,and Jiang Lian 11.State key laboratory of oil and gas reservoir geology and exploitation,Chengdu University of Technology,Chengdu 610059,China.2.CNOOC Shenzhen Inc.Shenzhen 518067,China.  
The rock matrix bulk modulus or its inverse,the compressive coefficient,is an important input parameter for fluid substitution by the Biot-Gassmann equation in reservoir prediction.However,it is not easy to accurately estimate the bulk modulus by using conventional methods.In this paper,we present a new linear regression equation for calculating the parameter.In order to get this equation,we first derive a simplified Gassmann equation by using a reasonable assumption in which the compressive coefficient of the saturated pore fluid is much greater than the rock matrix,and,second,we use the EshelbyWalsh relation to replace the equivalent modulus of a dry rock in the Gassmann equation.Results from the rock physics analysis of rock sample from a carbonate area show that rock matrix compressive coefficients calculated with water-saturated and dry rock samples using the linear regression method are very close (their error is less than 1%).This means the new method is accurate and reliable.
【Fund】: supported by the National Nature Science Foundation of China (Grant Noss 40739907 and 40774064);; National Science and Technology Major Project (Grant No. 2008ZX05025-003)
【CateGory Index】: P618.13
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