Abstract
Over the past decades, many scholars have been studying the pore volume compressibility (PVC) of porous media. However, the fundamental controls on PVC of porous media are not yet definitive. Some scholars suggest a negative correlation between PVC and initial porosity, while others suggest a positive correlation. Motivated by this discrepancy, this paper presents a new analytical model to study the PVC of fractal porous media. The predictions are compared with test results and thereby validated to be accurate. In our attempt not only to complement but also to extend the capability beyond available models, the derived model accounts for multiple fundamental variables, such as the microstructural parameters and rock lithology of porous media. Results suggest that, there is a negative correlation between PVC and initial porosity, if all other parameters are fixed, the relationship between initial porosity and PVC is not monotonic. In addition, PVC decreases with rougher pore surfaces and smaller initial minimum pore radius. Besides providing theoretical foundations for quantifying PVC of porous media, this analytical model could be applied to estimate pore structure parameters of porous media using inverse modeling.
Highlights
Where cp represents the pore volume compressibility (MPa−1), Vp represents the pore volume, pp represents the pore pressure (MPa), and peff represents the effective stress (MPa)
For the sake of simplicity, the cross-sectional shapes of pores in porous media are described by circles
Followings are the main conclusions: 1. Porous media pore volume compressibility (PVC) is affected by its porous media microstructural parameters and rock lithology
Summary
Where cp represents the pore volume compressibility (MPa−1), Vp represents the pore volume (cm3), pp represents the pore pressure (MPa), and peff represents the effective stress (MPa). The volume methods[20,21,22,23,33,34] are probably the most commonly used measurement techniques to determine PVC. According to some researchers[6], the permeability difference between the first and second measurements in confining pressure loading-unloading processes varied much. The changes in loading/unloading process of confining pressure and pore pressure/effective stress during the tests lead to the www.nature.com/scientificreports/. In combination with the N2 adsorption results and the mercury intrusion volumes, the compression of the matrix can be determined accurately
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