楔形裂缝压裂井产量预测模型

doi:10.7623/syxb201302018

石油学报 ›› 2013, Vol. 34 ›› Issue (2): 346-352.DOI: 10.7623/syxb201302018

楔形裂缝压裂井产量预测模型

郭建春路千里曾凡辉

西南石油大学油气藏地质及开发工程国家重点实验室四川成都 610500

收稿日期:2012-09-25 修回日期:2012-12-28 出版日期:2013-03-25 发布日期:2013-01-31
通讯作者: 路千里，男，1989年5月生，2011年获西南石油大学石油工程专业学士学位，现为西南石油大学油气田开发工程专业博士研究生，主要从事油气藏增产技术方面的研究。
作者简介:郭建春，男，1970年9月生，1998年获西南石油学院油气田开发专业博士学位，现为西南石油大学教授、博士生导师，主要从事油气藏开采和增产技术方面的研究。Email：guojianchun@vip.163.com
基金资助:
国家重大科技专项（2011ZX05002-004-007HZ）和四川省青年科技创新研究团队资助计划（2011JTD0018）资助。

A productivity prediction model for a fractured well with wedge-shaped fractures

GUO Jianchun LU Qianli ZENG Fanhui

Received:2012-09-25 Revised:2012-12-28 Online:2013-03-25 Published:2013-01-31

摘要/Abstract

摘要：

目前除较复杂的有限元法压后产能预测模型能够模拟变宽度裂缝外，其他模型都采用与实际不符的恒定缝宽假设，压后产能预测不准确。建立一种快速可靠地模拟变裂缝宽度的压后产能预测模型十分必要。基于压降叠加原理和直接边界元法建立了拟稳定状态下楔形垂直裂缝压裂井产量预测模型。该模型假设裂缝水平剖面为楔形，将裂缝视作若干线汇，耦合线汇在油藏中产生的压降以及裂缝中的流动压降，求解出了压裂井在拟稳定状态下的无因次产量。对比了楔形裂缝和支撑剂指数法模型的产量，在平均缝宽和其他条件一样的情况下，楔形裂缝模型的产量更高。使用该楔形裂缝模型可以快速计算不同缝宽和穿透比的压后产量，确定最优的裂缝宽度变化量和穿透比。结合支撑剂运移和沉降理论，优化的裂缝参数可使砂浓度变化量设计更具针对性。

关键词: 水力压裂, 楔形裂缝, 拟稳态, 产量预测, 参数优化

Abstract:

Currently no models can gain an exact prediction of the post-fracturing productivity due to the assumption of a constant fracture width for all fractured wells except a more complicated prediction model build with the finite element method that can simulate varying-width fractures. Therefore, it is necessary to establish a post-fracturing productivity prediction model that can fast and reliably simulate varying-width fractures. Based on the pressure-drop superposition principle and direct boundary element method, we presented a post-fracturing productivity prediction model for wedge-shaped fractures under a pseudo-steady state. In this model, the horizontal section of fractures is assumed to be wedge-shaped, fractures are regarded as several line sinks, and the pressure drop produced by line sinks in reservoirs and flowing pressure drop in fractures are coupled to gain a dimensionless productivity in a pseudo-steady state for a fractured well. Under the same average fracture-width and similar other conditions, the predicted productivity gained by the wedge-shaped fracture model is always higher compared with that by the proppant index method. With this wedge-shaped fracture model, the post-fracturing productivity for wells with different fracture-width and penetration ratios can be calculated quickly, and optimal fracture-width change rates and penetration ratios can be determined conveniently as well. Integrated with the proppant migration and settlement theories, fracture parameters optimized by the model can make the change-rate design of proppant concentrations more pertinent.

Key words: hydraulic fracturing, wedge-shaped fracture, pseudo-steady state, productivity prediction, parameter optimization

郭建春路千里曾凡辉. 楔形裂缝压裂井产量预测模型[J]. 石油学报, 2013, 34(2): 346-352.

GUO Jianchun LU Qianli ZENG Fanhui . A productivity prediction model for a fractured well with wedge-shaped fractures[J]. Editorial office of ACTA PETROLEI SINICA, 2013, 34(2): 346-352.

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楔形裂缝压裂井产量预测模型

A productivity prediction model for a fractured well with wedge-shaped fractures

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