Production Analysis of Composite Model of Five Regions for Fractured
Horizontal Wells in Shale Gas Reservoirs

doi:10.11885/j.issn.1674-5086.2015.03.04.07

Abstract

Abstract:

Horizontal wells with hydraulic fracturing technology have become an efficient way to produce from shale gas
reservoir. Therefore，a composite mathematical model of five regions for fractured horizontal wells in shale gas reservoirs is
established in this paper with consideration of desorption，diffusion and percolation characteristics. Then the analytical solution
is deduced in Laplace space. Based on the Stehfest numerical inversion algorithms，the analytical solution of dimensionless
production in real space is obtained，and dimensional production decline curve is plotted and analyzed. The results show that
decline curve can be divided into six different flow regimes according to the characteristics；interporosity flow coefficient
mainly influences the shape of desorption and later stages；hydraulic fracture conductivity mainly influences the shape of early
linear flow stage，permeability of the stimulated region mainly influences the shape of mid-to late stage. The greater the width
of stimulated region is，the higher the production is，and the greater the permeability is，the higher the production is，because
the fracture network after being hydraulic fractured is connected well with natural fractures. The results obtained can provide
scientific basis for reasonable analysis to production analysis for fractured horizontal wells in shale gas reservoirs.

Key words: shale gas, fractured horizontal wells, composite model of five regions, production analysis, adsorption and desorption

Yin Hongjun1，2, Zhao Ermeng1，2, Fu Jing1，2，3, Wang Lei1，2, Zhong Huiying1，2*. Production Analysis of Composite Model of Five Regions for Fractured
Horizontal Wells in Shale Gas Reservoirs[J]. 西南石油大学学报(自然科学版), DOI: 10.11885/j.issn.1674-5086.2015.03.04.07.

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References

[1] 江怀友，鞠斌山，李治平，等. 世界页岩气资源现状研

究[J]. 中外能源，2014，19（3）：14 22.

Jiang Huaiyou，Ju Binshan，Li Zhiping，et al. The world′s

shale gas resources today[J]. Sino-Global Energy，2014，

19（3）：14 22.

[2] 滕吉文，刘有山. 中国油气页岩分布与存储潜能和前

景分析[J]. 地球物理学进展，2013，28（3）：1083 1108.

Teng Jiwen，Liu Youshan. Analysis of distribution，storage

potential and prospect for shale oil and gas in China[J].

Progress in Geophysics，2013，28（3）：1083 1108.

[3] 于荣泽，张晓伟，卞亚南. 页岩气藏流动机理与产能影

响因素分析[J]. 天然气工业，2012，32（9）：10 15.

Yu Rongze，Zhang Xiaowei，Bian Yanan. Flow mechanism

of shale gas reservoirs and influential factors of

their productivity[J]. Natural Gas Industry，2012，32（9）：

10 15.

[4] Vassilellis G D，Li C，Seager R，et al. Investigating the expected

long-term production performance of shale reservoirs[

C]. SPE 138134，2010.

[5] 任岚，舒亮，胡永全，等. 纳米尺度页岩储层的气体

流动行为分析[J]. 西南石油大学学报：自然科学版，

2014，36（5）：111 116.

Ren Lan，Shu Liang，Hu Yongquan，et al. Analysis of gas

flow behavior in nano-scale shale gas reservoir[J]. Journal

of Southwest Petroleum University：Science & Technology

Edition，2014，36（5）：111 116．

[6] 任建华，蔺景德，张亮，等. 页岩气藏吸附特征及其对

产能的影响[J]. 新疆石油地质，2013，34（4）：441 444.

Ren Jianhua，Lin Jingde，Zhang Liang，et al. Adsorption

characteristics and impact on productivity of shale gas

reservoir[J]. Xinjiang Petroleum Geology，2013，34（4）：

441 444.

[7] 侯读杰，包书景，毛小平，等. 页岩气资源潜力评价的

几个关键问题讨论[J]. 地球科学与环境学报，2012，

34（3）：7 16.

Hou Dujie，Bao Shujing，Mao Xiaoping，et al. Discussion

on the key issues of resource potential evaluation for shale

gas[J]. Journal of Earth Sciences and Environment，2012，

34（3）：7 16.

[8] 琚宜文，卜红玲，王国昌. 页岩气储层主要特征及其

对储层改造的影响[J]. 地球科学进展，2014，29（4）：

492 506.

Ju Yiwen，Bu Hongling，Wang Guochang. Main characteristics

of shale gas reservoir and its effect on the reservoir

reconstruction[J]. Advances in Earth Science，2014，

29（4）：492 506.

[9] 张小涛，吴建发，冯曦，等. 页岩气藏水平井分段压

裂渗流特征数值模拟[J]. 天然气工业，2013，33（3）：

47 52.

Zhang Xiaotao，Wu Jianfa，Feng Xi，et al. Numerical simulation

of seepage flow characteristics of multi-stage

fracturing（MSF）in horizontal shale gas wells[J]. Natural

Gas Industry，2013，33（3）：47 52.

[10] 王妍，高文冰. 国内外页岩气勘探与开发技术分析[J].

地下水，2014，36（2）：205 208.

Wang Yan，Gao Wenbing. Exploration and exploitation

technical analysis in shale gas reservoir at home and

abroad[J]. Ground Water，2014，36（2）：205 208.

[11] 赵金洲，任岚，胡永全. 页岩储层压裂缝成网延伸的

受控因素分析[J]. 西南石油大学学报：自然科学版，

2013，35（1）：1 9.

Zhao Jinzhou，Ren Lan，Hu Yongquan. Controlling factors

of hydraulic fractures extending into network in shale

formations[J]. Journal of Southwest Petroleum University：

Science & Technology Edition，2013，35（1）：1 9.

[12] Lee，Brockenbrough. A new approximate analytic solution

for finite-conductivity vertical fractures[C]. SPE

12013，1986.

[13] Brown M，Ozkan E，Raghavan R，et al. Practical solutions

for pressure transient responses of fractured horizontal

wells in unconventional reservoirs[C]. SPE 125043，

2009.

[14] 姚军，殷修杏，樊冬艳，等. 低渗透油藏的压裂水平井

三线性流试井模型[J]. 油气井测试，2011，20（5）：1 5.

Yao Jun，Yin Xiuxing，Fan Dongyan，et al. Trilinear-flow

well test model of fractured horizontal well in low permeability

reservoir[J]. Well Testing，2011，20（5）：1 5.

[15] 高杰，张烈辉，刘启国，等. 页岩气藏压裂水平井三线

性流试井模型研究[J]. 水动力学研究与进展：A 辑，

2014，29（1）：108 113.

Gao Jie，Zhang Liehui，Liu Qiguo，et al. Well test model

of trilinear flow for fractured horizontal wells in shale gas

reservoirs[J]. Chinese Journal of Hydrodynamics，2014，

29（1）：108 113.

[16] Maxwell S C. What does microseismicity tells us about

hydraulic fractures[C]. SPE 146932，2011.

[17] Stalgorova，Associates，Matter，et al. Practical analytical

model simulate production of horizontal wells with branch

fractures[C]. SPE 162515，2012.

[18] Stalgorova，Matter. Analytical model for Unconventional

Multifractured composite systems[C]. SPE 162516，2013.

[19] 苏玉亮，王文东，盛广龙. 体积压裂水平井复合流动模

型[J]. 石油学报，2014，35（3）：504 510.

Su Yuliang，Wang Wendong，Sheng Guanglong. Compound

flow model of volume fractured horizontal well[J].

Acta Petrolei Sinica，2014，35（3）：504 510.

[20] 同登科，陈钦雷. 关于Laplace 数值反演Stehfest 方法

的一点注记[J]. 石油学报，2001，22（6）：91 92.

Tong Dengke，Chen Qinlei. A note of Laplace numerical

inversion for Stehfest method[J]. Acta Petrolei Sinica，

2001，22（6）：91 92.