A Transient Productivity Model of Fractured Wells in Shale Reservoirs Based on the Succession Pseudo-Steady State Method

After volume fracturing, shale reservoirs can be divided into nonlinear seepage areas controlled by micro- or nanoporous media and Darcy seepage areas controlled by complex fracture networks. In this paper, firstly, on the basis of calculating complex fracture network permeability in a stimulated zo...

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Main Authors: Fanhui Zeng, Fan Peng, Jianchun Guo, Jianhua Xiang, Qingrong Wang, Jiangang Zhen
Format: Article
Language:English
Published: MDPI AG 2018-09-01
Series:Energies
Subjects:
Online Access:http://www.mdpi.com/1996-1073/11/9/2335
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author Fanhui Zeng
Fan Peng
Jianchun Guo
Jianhua Xiang
Qingrong Wang
Jiangang Zhen
author_facet Fanhui Zeng
Fan Peng
Jianchun Guo
Jianhua Xiang
Qingrong Wang
Jiangang Zhen
author_sort Fanhui Zeng
collection DOAJ
description After volume fracturing, shale reservoirs can be divided into nonlinear seepage areas controlled by micro- or nanoporous media and Darcy seepage areas controlled by complex fracture networks. In this paper, firstly, on the basis of calculating complex fracture network permeability in a stimulated zone, the steady-state productivity model is established by comprehensively considering the multi-scale flowing states, shale gas desorption and diffusion after shale fracturing coupling flows in matrix and stimulated region. Then, according to the principle of material balance, a transient productivity calculation model is established with the succession pseudo-steady state (SPSS) method, which considers the unstable propagation of pressure waves, and the factors affecting the transient productivity of fractured wells in shale gas areas are analyzed. The numerical model simulation results verify the reliability of the transient productivity model. The results show that: (1) the productivity prediction model based on the SPSS method provides a theoretical basis for the transient productivity calculation of shale fractured horizontal well, and it has the characteristics of simple solution process, fast computation speed and good agreement with numerical simulation results; (2) the pressure wave propagates from the bottom of the well to the outer boundary of the volume fracturing zone, and then propagates from the outer boundary of the fracturing zone to the reservoir boundary; (3) with the increase of fracturing zone radius, the initial average aperture of fractures, maximum fracture length, the productivity of shale gas increases, and the increase rate gradually decreases. When the fracturing zone radius is 150 m, the daily output is approximately twice as much as that of 75 m. If the initial average aperture of fractures is 50 μm, the daily output is about half of that when the initial average aperture is 100 μm. When the maximum fracture length increases from 50 m to 100 m, the daily output only increases about by 25%. (4) When the Langmuir volume is relatively large, the daily outputs of different Langmuir volumes are almost identical, and the effect of Langmuir volume on the desorption output can almost be ignored.
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spelling doaj.art-7df4203f50a04232a4a9faa9c849ec982022-12-22T02:59:04ZengMDPI AGEnergies1996-10732018-09-01119233510.3390/en11092335en11092335A Transient Productivity Model of Fractured Wells in Shale Reservoirs Based on the Succession Pseudo-Steady State MethodFanhui Zeng0Fan Peng1Jianchun Guo2Jianhua Xiang3Qingrong Wang4Jiangang Zhen5State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, ChinaState Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, ChinaState Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu 610500, ChinaPetroChina Limited Company Southwest Oil and Gas Field Branch, Chengdu 610017, ChinaPetroChina Limited Company Southwest Oil and Gas Field Branch, Chengdu 610017, ChinaPetroChina Changqing Oil Field Branch Twelfth Oil Production Plant, Xi’an 710200, ChinaAfter volume fracturing, shale reservoirs can be divided into nonlinear seepage areas controlled by micro- or nanoporous media and Darcy seepage areas controlled by complex fracture networks. In this paper, firstly, on the basis of calculating complex fracture network permeability in a stimulated zone, the steady-state productivity model is established by comprehensively considering the multi-scale flowing states, shale gas desorption and diffusion after shale fracturing coupling flows in matrix and stimulated region. Then, according to the principle of material balance, a transient productivity calculation model is established with the succession pseudo-steady state (SPSS) method, which considers the unstable propagation of pressure waves, and the factors affecting the transient productivity of fractured wells in shale gas areas are analyzed. The numerical model simulation results verify the reliability of the transient productivity model. The results show that: (1) the productivity prediction model based on the SPSS method provides a theoretical basis for the transient productivity calculation of shale fractured horizontal well, and it has the characteristics of simple solution process, fast computation speed and good agreement with numerical simulation results; (2) the pressure wave propagates from the bottom of the well to the outer boundary of the volume fracturing zone, and then propagates from the outer boundary of the fracturing zone to the reservoir boundary; (3) with the increase of fracturing zone radius, the initial average aperture of fractures, maximum fracture length, the productivity of shale gas increases, and the increase rate gradually decreases. When the fracturing zone radius is 150 m, the daily output is approximately twice as much as that of 75 m. If the initial average aperture of fractures is 50 μm, the daily output is about half of that when the initial average aperture is 100 μm. When the maximum fracture length increases from 50 m to 100 m, the daily output only increases about by 25%. (4) When the Langmuir volume is relatively large, the daily outputs of different Langmuir volumes are almost identical, and the effect of Langmuir volume on the desorption output can almost be ignored.http://www.mdpi.com/1996-1073/11/9/2335shale gas reservoirfractured well transient productivitysuccession pseudo-steady state (SPSS) methodcomplex fracture networkmulti-scale flowanalysis of influencing factors
spellingShingle Fanhui Zeng
Fan Peng
Jianchun Guo
Jianhua Xiang
Qingrong Wang
Jiangang Zhen
A Transient Productivity Model of Fractured Wells in Shale Reservoirs Based on the Succession Pseudo-Steady State Method
Energies
shale gas reservoir
fractured well transient productivity
succession pseudo-steady state (SPSS) method
complex fracture network
multi-scale flow
analysis of influencing factors
title A Transient Productivity Model of Fractured Wells in Shale Reservoirs Based on the Succession Pseudo-Steady State Method
title_full A Transient Productivity Model of Fractured Wells in Shale Reservoirs Based on the Succession Pseudo-Steady State Method
title_fullStr A Transient Productivity Model of Fractured Wells in Shale Reservoirs Based on the Succession Pseudo-Steady State Method
title_full_unstemmed A Transient Productivity Model of Fractured Wells in Shale Reservoirs Based on the Succession Pseudo-Steady State Method
title_short A Transient Productivity Model of Fractured Wells in Shale Reservoirs Based on the Succession Pseudo-Steady State Method
title_sort transient productivity model of fractured wells in shale reservoirs based on the succession pseudo steady state method
topic shale gas reservoir
fractured well transient productivity
succession pseudo-steady state (SPSS) method
complex fracture network
multi-scale flow
analysis of influencing factors
url http://www.mdpi.com/1996-1073/11/9/2335
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