Citation: | Zhang Yang, Yuan Xuefang, Yan Tie, Liu Ju, Li Yan. Influence of Hydraulic Fracture Fractal Propagation on Fracturing Result[J]. Petroleum Drilling Techniques, 2013, 41(4): 101-104. DOI: 10.3969/j.issn.1001-0890.2013.04.022 |
[1] |
黄荣樽.水力压裂裂缝的起裂与扩展[J].石油勘探与开发,1981,8(5):62-74. Huang Rongzun.Initiation and propagation of hydraulic fracture[J].Petroleum Exploration and Development,1981,8(5):62-74.
|
[2] |
Hubbert M K,Willis D G.Mechanics of hydraulic fracturing[J].AIME,1957,210(2):153-166.
|
[3] |
Haimson B,Fairhurst C.Initiation and extension of hydraulic fractures in rocks[J].SPE Journal,1967,7(3):310-318.
|
[4] |
Biot M A,Masse L,Medlin W L.A two-demensional theory of fracture propagation[J].SPE Production Engineering,1986,1(1):17-30.
|
[5] |
王城辉,廖淑华.分形与石油[M].北京:石油工业出版社,1994:140-147,233-236. Wang Chenghui,Liao Shuhua.Fractal and oil[M].Beijing:Petroleum Industry Press,1994:140-147,233-236.
|
[6] |
谢和平.分形-岩石力学导论[M].北京:科学出版社,1997: 187-197. Xie Heping.Introduction to fractal-rock mechanics[M].Beijing:Science Press,1997:187-197.
|
[7] |
Mandelbrot B B.The fractal geometry of nature[M].Newyork:W H Freman and Company,1982.
|
[8] |
Xie H,Sanderson D J.Fractal effect of rapidly propagation cracks:proceedings of the 2nd on Corof Nonlinear Mech,Beijing,1993.
|
[9] |
谢和平,高峰,周宏伟,等.岩石断裂和破碎的分形研究[J].防灾减灾工程学报,2003,23(4):1-9. Xie Heping,Gao Feng,Zhou Hongwei,et al.Fractal fracture and fragmentation in rocks[J].Journal of Seismology,2003,23(4):1-9.
|
[10] |
谢和平.脆性材料裂纹扩展的分形运动学[J].力学学报,1994,26(6):757-762. Xie Heping.Fractal kinematics of crack propagation in brittle materials[J].Acta Mechanica Sinica,1994,26(6):757-762.
|
[11] |
Goldshtein R V,Mosolov A B.Fractal cracks[J].Journal Applied Mathematic and Mechanics,1992,56(4):563-571.
|
[12] |
Arash Yavari.Generalization of barenblatt’s cohesive fracture theory for fractal cracks[J].World Scientific,2002,10(2):189-198.
|
[13] |
Sneddon I N,Elliot H A.The opening of a Griffith Crack under internal pressure[J].Quarterly of Apll.Math.,1946,3(4):262-267.
|
[14] |
Irwin G R.Analysis of stresses and strains near the end of a crack traversing a plate[J].Appl.Mech.,1957,48(12): 361-364.
|
[15] |
Irwin G R.Fracture dynamics:proceedings of the ASM Symposium on Fracturing of Metals,Cleveland,1948.
|