A Novel Multiphysics Multiscale Multiporosity Shale Gas Transport Model for Geomechanics/Flow Coupling in Steady and Transient States

SPE Journal ◽  
2021 ◽  
pp. 1-13
Author(s):  
Zihao Li ◽  
Yuntian Teng ◽  
Ming Fan ◽  
Nino Ripepi ◽  
Cheng Chen

Summary A novel multiphysics multiscale multiporosity shale gas transport (M3ST) model was developed to investigate shale gas transport in both transient and steady states. The microscale model component contains a kerogen domain and an inorganic matrix domain, and each domain has its own geomechanical and gas transport properties. Permeabilities of various shale cores were measured in the laboratory using a pulse decay permeameter (PDP) with different pore pressure and confining stress combinations. The PDP-measured apparent permeability as a function of pore pressure under two effective stresses was fitted using the microscale M3ST model component based on nonlinear least squares fitting (NLSF), and the fitted model parameters were able to provide accurate model predictions for another effective stress. The parameters and petrophysical properties determined in the steady state were then used in the transient-state,continuum-scale M3ST model component, which performed history matching of the evolutions of the upstream and downstream gas pressures. In addition, a double-exponential empirical model was developed as a powerful alternative to the M3ST model to fit laboratory-measured apparent permeability under various effective stresses and pore pressures. The developed M3ST model and the research findings in this study provided critical insights into the role of the multiphysics mechanisms, including geomechanics, fluid dynamics and transport, and the Klinkenberg effect on shale gas transport across different spatial scales in both steady and transient states.

Energies ◽  
2019 ◽  
Vol 12 (17) ◽  
pp. 3381 ◽  
Author(s):  
Qiang Wang ◽  
Yongquan Hu ◽  
Jinzhou Zhao ◽  
Lan Ren ◽  
Chaoneng Zhao ◽  
...  

Based on fractal geometry theory, the Hagen–Poiseuille law, and the Langmuir adsorption law, this paper established a mathematical model of gas flow in nano-pores of shale, and deduced a new shale apparent permeability model. This model considers such flow mechanisms as pore size distribution, tortuosity, slippage effect, Knudsen diffusion, and surface extension of shale matrix. This model is closely related to the pore structure and size parameters of shale, and can better reflect the distribution characteristics of nano-pores in shale. The correctness of the model is verified by comparison with the classical experimental data. Finally, the influences of pressure, temperature, integral shape dimension of pore surface and tortuous fractal dimension on apparent permeability, slip flow, Knudsen diffusion and surface diffusion of shale gas transport mechanism on shale gas transport capacity are analyzed, and gas transport behaviors and rules in multi-scale shale pores are revealed. The proposed model is conducive to a more profound and clear understanding of the flow mechanism of shale gas nanopores.


2021 ◽  
Vol 35 (3) ◽  
pp. 2033-2047
Author(s):  
Xiangyu Liu ◽  
Liehui Zhang ◽  
Yulong Zhao ◽  
Xiao He ◽  
Jianfa Wu ◽  
...  

2018 ◽  
Vol 98 ◽  
pp. 437-447 ◽  
Author(s):  
Jianchao Cai ◽  
Duanlin Lin ◽  
Harpreet Singh ◽  
Wei Wei ◽  
Shangwen Zhou

Fractals ◽  
2020 ◽  
Vol 28 (01) ◽  
pp. 2050017 ◽  
Author(s):  
TAO WU ◽  
SHIFANG WANG

A better comprehension of the behavior of shale gas transport in shale gas reservoirs will aid in predicting shale gas production rates. In this paper, an analytical apparent permeability expression for real gas is derived on the basis of the fractal theory and Fick’s law, with adequate consideration of the effects of Knudsen diffusion, surface diffusion and flexible pore shape. The gas apparent permeability model is found to be a function of microstructural parameters of shale reservoirs, gas property, Langmuir pressure, shale reservoir temperature and pressure. The results show that the apparent permeability increases with the increase of pore area fractal dimension and the maximum effective pore radius and decreases with an increase of the tortuosity fractal dimension; the effects of Knudsen diffusion and surface diffusion on the total apparent permeability cannot be ignored under high-temperature and low-pressure circumstances. These findings can contribute to a better understanding of the mechanism of gas transport in shale reservoirs.


2020 ◽  
Vol 63 (5) ◽  
pp. 674-689 ◽  
Author(s):  
Wenbiao Li ◽  
Shuangfang Lu ◽  
Junqian Li ◽  
Pengfei Zhang ◽  
Siyuan Wang ◽  
...  

Fuel ◽  
2016 ◽  
Vol 181 ◽  
pp. 887-894 ◽  
Author(s):  
Lidong Geng ◽  
Gensheng Li ◽  
Pacelli Zitha ◽  
Shouceng Tian ◽  
Mao Sheng ◽  
...  

Fractals ◽  
2020 ◽  
Author(s):  
Qi Gao ◽  
Yuanfang Cheng ◽  
Songcai Han ◽  
Yang Li ◽  
Chuanliang Yan ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document