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[1] COURANT R. Variational method for solutions of problems of equilibrium and vibrations[J]. Bull. Am. Math. Soc. 1943, (49): 1-23. [2] TURNER M J, CLOUGH R W, MARTIN H C, et al. Stiffness and deflection analysis of complex structures[J]. Aero.Sci. 1956,(23):805-823. [3] CLOUGH R W. The finite element method in plane stress analysis[C]. Proc. 2’d ASME Conference on Electronic Computation. Pttsburgh, Pa. Sept. 1960. [4] BESSELING J F. The complete analogy between the matrix equations and the continuous field equations of structural analysis[C]. International Symposium on Analogy and Digital Techniques Applied to Aeronautics,Liege,Belgium,1963. [5] MELOSH R J. Basis for the Derivation of Matrics for the Direct Stiffness Method. AIAAJ , 1963, (1): 1631-1637. [6] JONES R E. AGeneralization of the Direct Stiffness Method of Structural Analysis[J]. AIAAJ.,1964, (2): 821826. [7] NOLTE K G.Fracture pressure analysis for non-ideal behavior[R].SPE 20 704 ,1991-02:210-218. [8] BARREE R D, MUKHERJEE H. Determination of pressure dependent leakoff and its effect on fracture geometry[R]. SPE 36 424, 1996. [9] BARREE R D.Application of prefrat injection/falloff test in fissured reservoirs-field examples[R]. SPE 39 932, 1998-04:5-8. [10] COTE A J, CRAWFORD K A. Case study:mixing proppant size to control pressure-dependent leakoff[R].SPE 108 178, 2007-05: 16-18. [11] 米卡尔 J.埃克诺米德斯. 张保平,刘立云,张汝生译.油藏增产措施[M].北京:石油工业出版社,2002. ECONOMIDES M J, Translated by ZHANG Baoping,LIU Liyun, ZHANG Rusheng. Reservoir stimulation measure[M]. Beijing: Petroleum Industry Press , 2002. [12] 何艳青,王鸿勋.用数值模拟方法预测压裂井的生产动态[J].石油大学学报:自然科学版,1990,14(5): 16-25. HE Yanqing, WANG Hongxun. Prediction of production performance in fractured wells with numerical simulation [J]. Journal of the University of Petroleum, 1990, 14 (5): 16-25.
[1] COURANT R. Variational method for solutions of problems of equilibrium and vibrations[J]. Bull. Am. Math. Soc. 1943, (49): 1-23. [2] TURNER M J, CLOUGH R W, MARTIN H C, et al. Stiffness and deflection analysis of complex structures[J]. Aero.Sci. 1956,(23):805-823. [3] CLOUGH R W. The finite element method in plane stress analysis[C]. Proc. 2’d ASME Conference on Electronic Computation. Pttsburgh, Pa. Sept. 1960. [4] BESSELING J F. The complete analogy between the matrix equations and the continuous field equations of structural analysis[C]. International Symposium on Analogy and Digital Techniques Applied to Aeronautics,Liege,Belgium,1963. [5] MELOSH R J. Basis for the Derivation of Matrics for the Direct Stiffness Method. AIAAJ , 1963, (1): 1631-1637. [6] JONES R E. AGeneralization of the Direct Stiffness Method of Structural Analysis[J]. AIAAJ.,1964, (2): 821826. [7] NOLTE K G.Fracture pressure analysis for non-ideal behavior[R].SPE 20 704 ,1991-02:210-218. [8] BARREE R D, MUKHERJEE H. Determination of pressure dependent leakoff and its effect on fracture geometry[R]. SPE 36 424, 1996. [9] BARREE R D.Application of prefrat injection/falloff test in fissured reservoirs-field examples[R]. SPE 39 932, 1998-04:5-8. [10] COTE A J, CRAWFORD K A. Case study:mixing proppant size to control pressure-dependent leakoff[R].SPE 108 178, 2007-05: 16-18. [11] 米卡尔 J.埃克诺米德斯. 张保平,刘立云,张汝生译.油藏增产措施[M].北京:石油工业出版社,2002. ECONOMIDES M J, Translated by ZHANG Baoping,LIU Liyun, ZHANG Rusheng. Reservoir stimulation measure[M]. Beijing: Petroleum Industry Press , 2002. [12] 何艳青,王鸿勋.用数值模拟方法预测压裂井的生产动态[J].石油大学学报:自然科学版,1990,14(5): 16-25. HE Yanqing, WANG Hongxun. Prediction of production performance in fractured wells with numerical simulation [J]. Journal of the University of Petroleum, 1990, 14 (5): 16-25. |