Model and Method of Well Test Analysis for Wells With Vertical Fracture

GUO Da-li; ZENG Xiao-hui; ZHAO Jin-zhou; LIU Ci-qun4

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(5): 527-533

GUO Da-li, ZENG Xiao-hui, ZHAO Jin-zhou, LIU Ci-qun4. Model and Method of Well Test Analysis for Wells With Vertical Fracture[J]. Applied Mathematics and Mechanics, 2005, 26(5): 527-533.

Citation:

GUO Da-li, ZENG Xiao-hui, ZHAO Jin-zhou, LIU Ci-qun4. Model and Method of Well Test Analysis for Wells With Vertical Fracture[J]. Applied Mathematics and Mechanics, 2005, 26(5): 527-533.

Citation:

GUO Da-li, ZENG Xiao-hui, ZHAO Jin-zhou, LIU Ci-qun4. Model and Method of Well Test Analysis for Wells With Vertical Fracture[J]. Applied Mathematics and Mechanics, 2005, 26(5): 527-533.

PDF( 1974 KB)

Model and Method of Well Test Analysis for Wells With Vertical Fracture

1.
Department of Computer Science, Southwest Petroleum Institute, Chengdu 610500, P. R. China;

Received Date: 2003-09-22
Rev Recd Date: 2005-01-18
Publish Date: 2005-05-15

Abstract

Abstract

Based on the flow mechanism of hydraulic fractured wells, through integrating linear-flow model and effective well-radius model, a new model of well test analysis for wells with vertical fracture was established. In the model, wellbore storage, the damage in the wall of fracture and all kinds of boundary conditions are considered. The model is concise in form, has intact curves and computes fast, which may meet the demand of real-time computation and fast responded well test interpretation. A new method to determine effective well radius was presented, and the correlation between e-f fective well radius and the fracture length, fracture conductivity, skin factor of fracture was given. Matching flow rate or pressure tested, the optimization model that identified formation and fracture parameters was set up. The automatic matching method was presented by synthetically using step by step linear least square method and sequential quadratic programming. At last, the application was also discussed. Application shows that all of these results can analyze and evaluate the fracturing treatment quality scientifically and rationally, instruct and modify the design of fracturing and improve fracturing design level.
- vertical fracture,
- well test,
- fluid flow through porous medium,
- model,
- automatic matching method

FullText(HTML)

References(9)

References

[1]	Cinco H, Samaniego F, Dominguez N. Transient pressure behavior for a well with a finite-conductivity vertical fracture[J].Society of Petroleum Engineers Journal,1978,18(8):253—264.
[2]	Cinco H, Samaniego F. Transient pressure analysis for fractured wells[J].Journal of Petroleum Technology,1981,33(9):1749—1766.
[3]	LEE Sheng-tai,Brockenbrough J R. A new approximate analytic solution for finite conductivity vertical fractures[J].Society of Petroleum Engineers Formation Evaluation,1986,18(2):75—88.
[4]	刘慈群.在双重孔隙介质中有限导流垂直裂缝井的非牛顿流体试井分析方法[J].石油学报，1990，11(4)：61—67.
[5]	Barua J, Horne R N, Greenstadt J L,et al.Improved estimation algorithms for automated type curve analysis of well test[J].Society of Petroleum Engineers Formation Evaluation,1988,20(3): 355—362.
[6]	段永刚，陈伟，黄诚，等.有限导流垂直压裂井混合遗传自动试井分析[J].西南石油学院学报，2000，22(4)：41—43.
[7]	郭大立，刘慈群，赵金洲.垂直裂缝气井生产动态预测及参数识别[J].应用数学和力学，2002，23(6)：563—568.
[8]	郭大立，赵金洲，郭建春,等.压后压降分析的拟三维模型和数学拟合方法[J].天然气工业，2001，21(5)：49—52.
[9]	郭大立，纪禄军，赵金洲，等.煤层压裂裂缝三维延伸模拟及产量预测研究[J].应用数学和力学，2001，22(4)：337—344.