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AAPG Bulletin

Abstract

AAPG Bulletin, V. 98, No. 9 (September 2014), P. 17611772.

Copyright copy2014. The American Association of Petroleum Geologists. All rights reserved.

DOI: 10.1306/03241413133

Compressibility of sorptive porous media: Part 1. Background and theory

Shimin Liu1 and Satya Harpalani2

1 Department of Energy and Mineral Engineering, College of Earth and Mineral Sciences (EMS) Energy Institute, The Pennsylvania State University, University Park, Pennsylvania 16802; [email protected]
2 Department of Mining and Mineral Resources Engineering, Southern Illinois University, Carbondale, Illinois 62901; [email protected]

ABSTRACT

This paper, the first of a two-part series, provides a sound background of the volumetric response of sorptive porous media to gas depletion under in situ boundary conditions in producing reservoirs. As a first step, the overall rock matrix deformation is split into two separate components, elastic deformation caused by mechanical decompression and the nonelastic swelling or shrinkage strain induced by adsorption or desorption of gas. The shrinkage or swelling compressibility is estimated by the first derivative of pure adsorption or desorption strain with variations of gas pressure. The pore volume, or fracture, compressibility is then estimated by application of a semi-empirical model under uniaxial strain conditions. Based on the proposed model, both shrinkage or swelling and pore volume compressibilities show strong pressure dependence for sorbing gases and are thus variables for which gas production is controlled by desorption of gas. In Part 2, the experimental work under best-replicated in situ conditions is described in detail along with the results obtained and application of the theory presented in this paper.

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