Simulation of hydraulic fracturing of oil well based on fluid-solid coupling equation and non-linear finite element

doi:10.7623/syxb200901024

ACTA PETROLEI SINICA ›› 2009, Vol. 30 ›› Issue (1): 113-116.DOI: 10.7623/syxb200901024

• Oil Field Development • Previous Articles Next Articles

Simulation of hydraulic fracturing of oil well based on fluid-solid coupling equation and non-linear finite element

ZHANG Guangming¹, LIU He^1,2, ZHANG Jin³, BIAO Fangjun¹, WU Heng'an¹, WANG Xiuxi¹

1. Department of Modern Mechanics, University of Science and Technology of China, Hefei 230026, China;
2. PetroChina Daqing Oilfield Company Limited, Daqing 163453, China;
3. Faculty of Petroleum Engineering, China University of Petroleum, Beijing 102249, China

Received:2008-04-01 Revised:2008-06-09 Online:2008-11-25 Published:2010-05-21

油井水力压裂流-固耦合非线性有限元数值模拟

张广明¹, 刘合^1,2, 张劲³, 彪仿俊¹, 吴恒安¹, 王秀喜¹

1. 中国科学技术大学近代力学系, 安徽合肥, 230026;
2. 中国石油大庆油田有限责任公司, 黑龙江大庆, 163453;
3. 中国石油大学石油天然气工程学院, 北京, 102249

作者简介:张广明,男,1980年5月生,2004年毕业于东北大学秦皇岛分校,现为中国科学技术大学近代力学系博士研究生,主要从事石油工程数值模拟研究.E-mail:zhgming@mail.ustc.edu.cn
基金资助:
国家自然科学基金项目(No.10632080)资助

Abstract

Abstract:

A set of non-linear finite element formulae with incremental form was derived on the basis of the fluid-solid coupling equations of porous fluid diffusion and deformation. The pore pressure cohesive elements were used to simulate the initiation and propagation of hydraulic pre-defined fractures resulted from hydraulic loading. A finite element model was proposed for hydraulic fracturing of oil well.Both the viscosity of fracturing fluid and volume concentration of proppant varied with time in the model. All of the simulation parameters are from data of oil wells. Some parameters including pressure at the fracture mouth, perforation friction, string friction, hydrostatic pressure of fluid column in well bore and wellhead pressure have changed with fracture time. The presented "curves of stimulation treatment history" are in good coincidence with those obtained from the field measurements.

Key words: hydraulic fracturing, porous medium, fluid-solid coupling equation, fracturing fluid, non-linear finite element model, numerical simulation

摘要：

基于多孔介质流-固耦合的控制方程,推导了相应的非线性增量有限元列式,并采用以节点位移和孔隙压力为自由度的黏结单元来模拟水力损伤造成的预设裂缝的起裂和扩展,在此基础上建立了油井水力压裂的有限元模型。在该模型中考虑了压裂液的黏性系数和支撑剂的体积浓度随时间变化,所有参数均采用现场压裂的数据。通过数值模拟,得到了缝口压力、射孔孔眼摩阻、沿程摩阻、井筒内液柱静水压力和地面井口压力随压裂时间的变化规律,并给出了"压裂作业三条线",模拟得到的"压裂作业三条线"与现场压裂实测结果吻合良好。

关键词: 水力压裂, 多孔介质, 流-固耦合方程, 压裂液, 非线性有限元, 数值模拟

CLC Number:

TE357.11

ZHANG Guangming, LIU He, ZHANG Jin, BIAO Fangjun, WU Heng'an, WANG Xiuxi. Simulation of hydraulic fracturing of oil well based on fluid-solid coupling equation and non-linear finite element[J]. ACTA PETROLEI SINICA, 2009, 30(1): 113-116.

张广明, 刘合, 张劲, 彪仿俊, 吴恒安, 王秀喜. 油井水力压裂流-固耦合非线性有限元数值模拟[J]. 石油学报, 2009, 30(1): 113-116.

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Simulation of hydraulic fracturing of oil well based on fluid-solid coupling equation and non-linear finite element

油井水力压裂流-固耦合非线性有限元数值模拟

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