A new well test model is developed for the hydraulic fractured well in coalbed by considering the following aspects: methane desorption phenomena, finite conductivity vertical fractures, and asymmetry of the fracture about the well. A new parameter is introduced to describe the storage of the fracture, which is named as a combined fracture storage. Another new concept called the fracture asymmetry coefficient is used to define the asymmetry of the fracture about the well. Finite element method (FEM) is used to solve the new mathematical model. The well test type curves and pressure fields are obtained and analyzed. The effects of the combined fracture storage, desorption factor, fracture conductivity, and fracture asymmetry coefficient on the well test type curves are discussed in detail. In order to verify the new model, a set of field well test data is analyzed.
Yue-wu LIU;Wei-ping OU-YANG;Pei-hua ZHAO;Qian LU;Hui-jun FANG
. Numerical well test for well with finite conductivity vertical fracture in coalbed[J]. Applied Mathematics and Mechanics, 2014
, 35(6)
: 729
-740
.
DOI: 10.1007/s10483-014-1825-6
[1] Gringarten, A. C., Ramey, H. J., Jr., and Raghavan, R. Unsteady-state pressure distributions cre-ated by a well with a single infinite-conductivity vertical fracture. Society of Petroleum Engineers Journal, 14, 347-360 (1974)
[2] Cinco-Ley, H. and Meng, H. Z. Pressure transient analysis of wells with finite conductivity vertical fractures in double porosity reservoirs. SPE Annual Technical Conference and Exhibition, Houston, Texas (1988)
[3] Cinco-Ley, H. and Samaniego, F. Transient pressure analysis for fractured wells. Journal of Petroleum Technology, 33, 1749-1766 (1981)
[4] Lee, S. and Brockenbrough, J. R. A new approximate analytic solution for finite-conductivity vertical fractures. SPE Formation Evaluation, 1, 75-88 (1986)
[5] Riley, M. F., Brigham, W. E., and Horne, R. N. Analytic solutions for elliptical finite-conductivity fractures. SPE Annual Technical Conference and Exhibition, Dallas (1991)
[6] Liu, C. Q. and Yang, J.Well test analysis for finite conductivity vertical fractured well in dual-pore medium reservoir. Well Testing and Production Technology, 11, 5-9 (1990)
[7] Liu, Y. W. and Liu, C. Q. Well test analysis for finite conductivity vertical fractured well in consideration of wellbore storage and skin effect.Well Testing, 2, 2-10 (1993)
[8] Anbarci, K. and Ertekin, T. Pressure transient behavior of fractured wells in coalbed reservoirs. SPE Annual Technical Conference and Exhibition, Washington, D. C. (1992)
[9] He, Y. F. and Hang, Y. P. Transient pressure analysis for fractured well in coalbed. Acta of Oil and Gas, 28, 113-117 (2006)
[10] Liu, Y. W., Zhang, D. W., Chen, H. X., and Gong, X. Numerical study on coalbed methane transient seepage flow with multiwells (in Chinese). Journal of Rock Mechanics and Engineering, 24, 1679-1685 (2005)
[11] Anbarci, K. and Ertekin, T. Comprehensive study of pressure transient analysis with sorption phe-nomena for single-phase gas flow in coal seams. SPE Annual Technical Conference and Exhibition, New Orleans, Louisiana (1990)
[12] Ertekin, T. and Sung, W. Pressure transient analysis of coal seams in the presence of multi-mechanistic flow and sorption phenomena. The SPE Gas Technology Symposium, Dallas, Texas (1989)
[13] Langmuir, I. The constitution and fundamental properties of solids and liquids, part 1: solid. Journal of American Chemical Society, 38, 2221-2295 (1916)
[14] Ouyang, W. P. and Liu, Y. W. Numerical well test model for CBM infinite conductivity vertical fracture well. Well Testing, 19, 53-56 (2010)
[15] Liu, Y. W., Su, Z. L., Fang, H. B., and Zhang, J. F. Review on CBM desorption/adsorption mechanism. Well Testing, 19, 37-44 (2010)
[16] Aminian, K. and Ameri, S. Predicting production performance of CBM reservoirs. Journal of Natural Gas Science and Engineering, 1, 25-30 (2009)
[17] Feng, K. Finite element method (II). Mathematics in Practice and Theory, 5, 42-54 (1975)
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