A Fractal Discrete Fracture Network Based Model for Gas Production from Fractured Shale Reservoirs

A fractal discrete fracture network based model was proposed for the gas production prediction from a fractured shale reservoir. Firstly, this model was established based on the fractal distribution of fracture length and a fractal permeability model of shale matrix which coupled the multiple flow m...

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Main Authors: Bowen Hu, Jianguo Wang, Zhanguo Ma
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/7/1857
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author Bowen Hu
Jianguo Wang
Zhanguo Ma
author_facet Bowen Hu
Jianguo Wang
Zhanguo Ma
author_sort Bowen Hu
collection DOAJ
description A fractal discrete fracture network based model was proposed for the gas production prediction from a fractured shale reservoir. Firstly, this model was established based on the fractal distribution of fracture length and a fractal permeability model of shale matrix which coupled the multiple flow mechanisms of slip flow, Knudsen diffusion, surface diffusion, and multilayer adsorption. Then, a numerical model was formulated with the governing equations of gas transport in both a shale matrix and fracture network system and the deformation equation of the fractured shale reservoir. Thirdly, this numerical model was solved within the platform of COMSOL Multiphysics (a finite element software) and verified through three fractal discrete fracture networks and the field data of gas production from two shale wells. Finally, the sensitivity analysis was conducted on fracture length fractal dimension, pore size distribution, and fracture permeability. This study found that cumulative gas production increases up to 113% when the fracture fractal length dimension increases from 1.5 to the critical value of 1.7. The gas production rate declines more rapidly for a larger fractal dimension (up to 1.7). Wider distribution of pore sizes (either bigger maximum pore size or smaller minimum pore size or both) can increase the matrix permeability and is beneficial to cumulative gas production. A linear relationship is observed between the fracture permeability and the cumulative gas production. Thus, the fracture permeability can significantly impact shale gas production.
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spelling doaj.art-12623ffcf0194857bb95734b4c0851d72023-11-19T21:17:42ZengMDPI AGEnergies1996-10732020-04-01137185710.3390/en13071857A Fractal Discrete Fracture Network Based Model for Gas Production from Fractured Shale ReservoirsBowen Hu0Jianguo Wang1Zhanguo Ma2State Key Laboratory for Geomechanics and Deep Underground Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaSchool of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaSchool of Mechanics and Civil Engineering, China University of Mining and Technology, Xuzhou 221116, ChinaA fractal discrete fracture network based model was proposed for the gas production prediction from a fractured shale reservoir. Firstly, this model was established based on the fractal distribution of fracture length and a fractal permeability model of shale matrix which coupled the multiple flow mechanisms of slip flow, Knudsen diffusion, surface diffusion, and multilayer adsorption. Then, a numerical model was formulated with the governing equations of gas transport in both a shale matrix and fracture network system and the deformation equation of the fractured shale reservoir. Thirdly, this numerical model was solved within the platform of COMSOL Multiphysics (a finite element software) and verified through three fractal discrete fracture networks and the field data of gas production from two shale wells. Finally, the sensitivity analysis was conducted on fracture length fractal dimension, pore size distribution, and fracture permeability. This study found that cumulative gas production increases up to 113% when the fracture fractal length dimension increases from 1.5 to the critical value of 1.7. The gas production rate declines more rapidly for a larger fractal dimension (up to 1.7). Wider distribution of pore sizes (either bigger maximum pore size or smaller minimum pore size or both) can increase the matrix permeability and is beneficial to cumulative gas production. A linear relationship is observed between the fracture permeability and the cumulative gas production. Thus, the fracture permeability can significantly impact shale gas production.https://www.mdpi.com/1996-1073/13/7/1857fractal discrete fractal networkfractured shale reservoirfractal dimensionpore size distribution
spellingShingle Bowen Hu
Jianguo Wang
Zhanguo Ma
A Fractal Discrete Fracture Network Based Model for Gas Production from Fractured Shale Reservoirs
Energies
fractal discrete fractal network
fractured shale reservoir
fractal dimension
pore size distribution
title A Fractal Discrete Fracture Network Based Model for Gas Production from Fractured Shale Reservoirs
title_full A Fractal Discrete Fracture Network Based Model for Gas Production from Fractured Shale Reservoirs
title_fullStr A Fractal Discrete Fracture Network Based Model for Gas Production from Fractured Shale Reservoirs
title_full_unstemmed A Fractal Discrete Fracture Network Based Model for Gas Production from Fractured Shale Reservoirs
title_short A Fractal Discrete Fracture Network Based Model for Gas Production from Fractured Shale Reservoirs
title_sort fractal discrete fracture network based model for gas production from fractured shale reservoirs
topic fractal discrete fractal network
fractured shale reservoir
fractal dimension
pore size distribution
url https://www.mdpi.com/1996-1073/13/7/1857
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