Calculation Model for the Permeability Coefficient of Shale Gas in Shale Matrix

YAO Tong-yu; HUANG Yan-zhang; LI Ji-shan

doi:10.3879/j.issn.1000-0887.2014.08.012

Volume 35 Issue 8

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YAO Tong-yu, HUANG Yan-zhang, LI Ji-shan. Calculation Model for the Permeability Coefficient of Shale Gas in Shale Matrix[J]. Applied Mathematics and Mechanics, 2014, 35(8): 939-948. doi: 10.3879/j.issn.1000-0887.2014.08.012

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Calculation Model for the Permeability Coefficient of Shale Gas in Shale Matrix

doi: 10.3879/j.issn.1000-0887.2014.08.012

¹School of Petroleum Engineering, China University of Petroleum, Qingdao, Shandong 266580, P.R.China;²Institute of Porous Flow and Fluid Mechanics, Chinese Academy of Sciences, Langfang, Hebei 065007, P.R.China;³Geological and Scientific Research Institute of Shengli Oilfield Company Ltd., Dongying, Shandong 257015, P.R.China

Received Date: 2013-12-11
Rev Recd Date: 2014-06-16
Publish Date: 2014-08-15

Abstract

Abstract

According to the seepage behavior of shale gas in shale matrix, a coupling model for both the shale gas release and diffusion was established. With the Laplace transform method, the coupling model was converted to initial and boundary value problems of ordinary differential equations in the Laplace space. Then the analytical solution of pressure was found, and the permeability coefficient was obtained. The calculation of some specific examples prove reliability of the seepage model and correctness of the solution. The results indicate that the shale gas release process is mainly composed of two actions of adsorption and diffusion, in which the adsorption action has substantial influences on both the effective porosity and the permeability coefficient of the shales. This research enriches the unsteady seepage theory about shale gas.
- shale gas,
- Laplace transform,
- analytical solution,
- permeability coefficient

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References(17)

References

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