A Semi-Analytical Model for Pressure Transient Analysis of Multiple Fractured Horizontal Wells in Irregular Heterogeneous Reservoirs

The irregular outer boundaries of reservoirs and the associated heterogeneous high-permeability zones formed by complex geological environment pose significant challenges in reservoir characterization and performance prediction. These irregular geometries, which are commonly encountered in field app...

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Main Authors: Cheng Chang, Xuefeng Yang, Weiyang Xie, Dan Dai, Yizhao Chen, Xiaojing Ji, Yanzhong Liang, Bailu Teng
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Energies
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Online Access:https://www.mdpi.com/1996-1073/18/7/1861
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author Cheng Chang
Xuefeng Yang
Weiyang Xie
Dan Dai
Yizhao Chen
Xiaojing Ji
Yanzhong Liang
Bailu Teng
author_facet Cheng Chang
Xuefeng Yang
Weiyang Xie
Dan Dai
Yizhao Chen
Xiaojing Ji
Yanzhong Liang
Bailu Teng
author_sort Cheng Chang
collection DOAJ
description The irregular outer boundaries of reservoirs and the associated heterogeneous high-permeability zones formed by complex geological environment pose significant challenges in reservoir characterization and performance prediction. These irregular geometries, which are commonly encountered in field applications but often oversimplified in conventional models, can substantially influence fluid flow dynamics and transient pressure behavior. To solve this critical issue, this paper presents a semi-analytical model for studying the transient pressure behavior of irregular heterogeneous reservoirs, focusing on the dynamic interactions between hydraulic fractures and the surrounding matrix. The model integrates Green’s function solutions for matrix flow with finite difference methods to simulate fluid flow within complex fracture networks, capturing the heterogeneity of the reservoir and the irregularity of its boundaries. Specifically, the reservoir is divided into locally homogeneous blocks, and the flow within each block is solved using bounded Green’s functions, while the fracture networks are discretized and solved using finite difference methods. This proposed model significantly reduces computational complexity compared to traditional numerical simulations, while maintaining high accuracy. Subsequently, we conducted comprehensive parameter sensitivity analyses. The calculational results show that a multi-fractured horizontal well in an irregular heterogeneous reservoir can observe the following flow regimes: bilinear flow, elliptical flow, and boundary-dominated flow. Longer fractures and higher conductivity enhance fracture flux by increasing the contact area and reducing flow resistance, respectively. However, these positive impacts are constrained by drainage area limitations as production progresses.
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spelling doaj-art-c9b3b7da00f846e59562d5730dfefa892025-08-20T02:09:17ZengMDPI AGEnergies1996-10732025-04-01187186110.3390/en18071861A Semi-Analytical Model for Pressure Transient Analysis of Multiple Fractured Horizontal Wells in Irregular Heterogeneous ReservoirsCheng Chang0Xuefeng Yang1Weiyang Xie2Dan Dai3Yizhao Chen4Xiaojing Ji5Yanzhong Liang6Bailu Teng7Shale Gas Research Institute, PetroChina Southwest Oil & Gas Field Company, Chengdu 610051, ChinaShale Gas Research Institute, PetroChina Southwest Oil & Gas Field Company, Chengdu 610051, ChinaShale Gas Research Institute, PetroChina Southwest Oil & Gas Field Company, Chengdu 610051, ChinaShale Gas Research Institute, PetroChina Southwest Oil & Gas Field Company, Chengdu 610051, ChinaShale Gas Research Institute, PetroChina Southwest Oil & Gas Field Company, Chengdu 610051, ChinaShale Gas Research Institute, PetroChina Southwest Oil & Gas Field Company, Chengdu 610051, ChinaSchool of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, ChinaSchool of Energy Resources, China University of Geosciences (Beijing), Beijing 100083, ChinaThe irregular outer boundaries of reservoirs and the associated heterogeneous high-permeability zones formed by complex geological environment pose significant challenges in reservoir characterization and performance prediction. These irregular geometries, which are commonly encountered in field applications but often oversimplified in conventional models, can substantially influence fluid flow dynamics and transient pressure behavior. To solve this critical issue, this paper presents a semi-analytical model for studying the transient pressure behavior of irregular heterogeneous reservoirs, focusing on the dynamic interactions between hydraulic fractures and the surrounding matrix. The model integrates Green’s function solutions for matrix flow with finite difference methods to simulate fluid flow within complex fracture networks, capturing the heterogeneity of the reservoir and the irregularity of its boundaries. Specifically, the reservoir is divided into locally homogeneous blocks, and the flow within each block is solved using bounded Green’s functions, while the fracture networks are discretized and solved using finite difference methods. This proposed model significantly reduces computational complexity compared to traditional numerical simulations, while maintaining high accuracy. Subsequently, we conducted comprehensive parameter sensitivity analyses. The calculational results show that a multi-fractured horizontal well in an irregular heterogeneous reservoir can observe the following flow regimes: bilinear flow, elliptical flow, and boundary-dominated flow. Longer fractures and higher conductivity enhance fracture flux by increasing the contact area and reducing flow resistance, respectively. However, these positive impacts are constrained by drainage area limitations as production progresses.https://www.mdpi.com/1996-1073/18/7/1861pressure transient behaviorGreen’s functionirregular heterogeneous reservoirfractured horizontal well
spellingShingle Cheng Chang
Xuefeng Yang
Weiyang Xie
Dan Dai
Yizhao Chen
Xiaojing Ji
Yanzhong Liang
Bailu Teng
A Semi-Analytical Model for Pressure Transient Analysis of Multiple Fractured Horizontal Wells in Irregular Heterogeneous Reservoirs
Energies
pressure transient behavior
Green’s function
irregular heterogeneous reservoir
fractured horizontal well
title A Semi-Analytical Model for Pressure Transient Analysis of Multiple Fractured Horizontal Wells in Irregular Heterogeneous Reservoirs
title_full A Semi-Analytical Model for Pressure Transient Analysis of Multiple Fractured Horizontal Wells in Irregular Heterogeneous Reservoirs
title_fullStr A Semi-Analytical Model for Pressure Transient Analysis of Multiple Fractured Horizontal Wells in Irregular Heterogeneous Reservoirs
title_full_unstemmed A Semi-Analytical Model for Pressure Transient Analysis of Multiple Fractured Horizontal Wells in Irregular Heterogeneous Reservoirs
title_short A Semi-Analytical Model for Pressure Transient Analysis of Multiple Fractured Horizontal Wells in Irregular Heterogeneous Reservoirs
title_sort semi analytical model for pressure transient analysis of multiple fractured horizontal wells in irregular heterogeneous reservoirs
topic pressure transient behavior
Green’s function
irregular heterogeneous reservoir
fractured horizontal well
url https://www.mdpi.com/1996-1073/18/7/1861
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