A Semi-analytical Model for Pressure-Dependent Permeability of Tight Sandstone Reservoirs

Zhu, Shenglong; Du, Zhijiang; Li, Chuanliang; Salmachi, Alireza; Peng, Xiaolong; Wang, Chaowen; Yue, Ping; Deng, Peng

doi:10.1007/s11242-018-1001-x

Cited by 38 publications

(21 citation statements)

References 49 publications

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“…The volume methods 20–23,33,34 are probably the most commonly used measurement techniques to determine PVC. However, as stated in the literature 6,13,33,34 , during the experiments, the systematic errors resulting from deformation of pressurized parts (such as micro interstice between the sample and the sleeve in the core holder, core holder itself, connection pipes, etc.) exist and will affect the results.…”

Section: Introductionmentioning

confidence: 94%

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A Novel Analytical Model for Pore Volume Compressibility of Fractal Porous Media

Lei

Cao

McPherson

et al. 2019

Sci Rep

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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.

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Section: Introductionmentioning

confidence: 94%

“…exist and will affect the results. For example, according to some researchers 6 , the permeability difference between the first and second measurements in confining pressure loading-unloading processes varied much. Tarokh A.…”

Section: Introductionmentioning

confidence: 99%

A Novel Analytical Model for Pore Volume Compressibility of Fractal Porous Media

Lei

Cao

McPherson

et al. 2019

Sci Rep

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show abstract

“…In addition, the pressure-dependent pore permeability is also taken into consideration in this model as follows 59 where m eff = −tr( ij eff )∕3 the mean effective pressure, p is also a constant characterizing the compliance of porous media with respect to the fluid pressure change. Generally, the compliancerelated coefficient p is smaller than f due to less pressure sensitivity.…”

Section: Governing Equation For Stress Equilibriummentioning

confidence: 99%

Investigation on heat extraction characteristics in randomly fractured geothermal reservoirs considering thermo‐poroelastic effects

Han

Cheng

Gao

et al. 2019

Energy Science & Engineering

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A fully coupled thermal‐hydraulic‐mechanical (THM) model was developed to investigate the underlying response mechanisms during heat extraction in fractured geothermal reservoirs. The random fracture network in the stimulated zone was reproduced based on the fractal theory. The coupled model accounts for the dominant physical phenomena including (a) fluid flow, heat transport, and solid deformation in porous media and fractures; (b) local thermal nonequilibrium (LTNE) between rock matrix and flowing fluid; and (c) temperature‐dependent fluid thermodynamic properties and stress‐dependent pore and fracture permeability. The proposed model was validated by several analytic solutions. Sequentially, the evolution of pore pressure, equivalent temperature, effective stress, and reservoir permeability was analyzed. The sensitivity of the heat extraction performance to fracture network morphology was discussed. Results show that interconnected large‐scale fractures dominate mass and heat transport. Widely distributed small‐scale fractures contribute to the cooling of the heat rock mass along many flow paths in parallel. The change in effective stress associated with fully coupled thermo‐poroelastic effects may induce fracture shear dilation and pore expansion, resulting in an enhancement of the overall reservoir permeability. There is a significant temperature difference between the solid phase and the fluid phase in fractures, but not in porous media. It is more reasonable to use the LTNE theory to analyze the heat extraction of fractured geothermal reservoirs. The fracture network morphology has a profound effect on heat extraction efficiency and injectivity. Undeveloped fracture networks will result in a higher injection pressure, earlier thermal breakthrough, and shorter lifetime, but higher heat extraction ratio. Properly increasing the fracture density can delay the thermal breakthrough time, prolong the service life, and improve the injectivity. Fully connected fracture networks may result in thermal short‐circuiting and earlier thermal breakthrough. Generating a complex and scattered fracture network but without preferential channels is conducive to extracting more heat from geothermal reservoirs.

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“…Based on the fractal theory, prediction models for the permeability and porosity of porous media were proposed. [29][30][31][32][33][34][35] A new stress-sensitive permeability analysis model was proposed by Zhu et al 36 And Zhu et al 37 thought the permeability performance under reservoir condition was divided into two stages through a semi-analytical model. The relationship between stress and permeability was studied through numerical simulation by Zhang et al 38 and Zhao et al 39,40 In addition, some scholars [41][42][43] have studied the changing of permeability in the production process.…”

Section: Introductionmentioning

confidence: 99%

Experimental study on stress sensitivity of high‐temperature and high‐pressure sandstone gas reservoirs in Yingqiong Basin

Yi-long

et al. 2020

Energy Science & Engineering

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A Semi-analytical Model for Pressure-Dependent Permeability of Tight Sandstone Reservoirs

Cited by 38 publications

References 49 publications

A Novel Analytical Model for Pore Volume Compressibility of Fractal Porous Media

A Novel Analytical Model for Pore Volume Compressibility of Fractal Porous Media

Investigation on heat extraction characteristics in randomly fractured geothermal reservoirs considering thermo‐poroelastic effects

Experimental study on stress sensitivity of high‐temperature and high‐pressure sandstone gas reservoirs in Yingqiong Basin

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