A new algorithm for computation of horizontal-well pressure in Laplace domain
Abstract view|911|times PDF download|259|times
Abstract
The effect of wellbore pressure drop on horizontal well pressure response is relatively important when flow velocity is high or the surface of horizontal wellbore is rough. The objective of this study is to develop a stable and robust algorithm in Laplace domain to analyze horizontal-well pressure with pressure drop along the wellbore. Based on the novel definitions of horizontal well permeability and conductivity, the equation of fluid flow along a horizontal wellbore with pressure drop has the same form as that of fluid flow in a varying-conductivity fracture. A new dimension transformation has been used to change the varying-conductivity model into a constant-conductivity model, and then an iterative procedure has been introduced to obtain the pressure. This algorithm is developed in Laplace domain and eliminates the need for computations in the time domain. Besides, the skin effect and wellbore storage is easily to be taken into consideration.
Cited as: Wu, M., Luo, W., Wang, X. A new algorithm for computation of horizontal-well pressure in Laplace domain. Advances in Geo-Energy Research, 2018, 2(4): 393-403, doi: 10.26804/ager.2018.04.04
Keywords
Full Text:
PDFReferences
Abbasy, I., Ritchie, B., Pitts, M.J., et al. Challenges in completing long horizontal wells selectively. Paper SPE 116541 Presented at the SPE Asia Pacific oil & gas conference and exhibition in Perth, Australia, 20-22 October, 2008.
Adesina, F.A.S., Churchill, A., Olugbenga, F. Modeling productivity index for long horizontal well. J. Energy Resour. Technol. 2007, 133(3): 033101.
Al-Haddad, S.M., Crafton, J.W. Productivity of horizontal wells. Paper SPE 21868 Presented at the Rocky Mountain Regional Meeting and Low-Permeability Reservoirs in Denver, Colorado, 15-17 April, 1991.
Babu, D.K., Odeh, A.S. Productivity of a horizontal well. SPE Reserv. Eng. 1989, 4(4): 417-421.
Britt, L.K., Jones, J.R., Miller, W.K. Defining horizontal well objectives in tight and unconventional gas reservoirs. Paper SPE 137839 Presented at the Canadian unconven-tional resources & international petroleum conference in Calgary, Alberta, Canada, 19-21 October, 2010.
Chen, Z., Liao, X., Zhao, X., et al. A finite horizontal-well-conductivity model for pressure transient analysis in multiple fractured horizontal wells. Paper SPE 177230 presented in Proceedings of the SPE Latin American and Caribbean Petroleum Engineering Conference, Quito, Ecuador, 18-20 November, 2015.
Cho, H. Integrated optimization on a long horizontal well length. SPE Reserv. Eval. Eng. 2003, 6(2): 81-88.
Clonts, M.D., Ramey, H.J. Pressure transient analysis for wells with horizontal drainholes. Paper SPE 15116 Presented at the SPE California Regional Meeting, Oakland, California, 2-4 April, 1986.
Colebrook, C.F., Blench, T., Chatley, H., et al. Correspon-dence. Turbulent flow in pipes, with particular reference to the transition region between the smooth and Rough pipe Laws. (Includes plates). J. Inst. Civ. Eng. 1939, 12(8): 393-422.
Daviau, F., Mouronval, G., Bourdarot, G., et al. Pressure analysis for horizontal wells. Paper SPE 14251 Presented at the SPE Annual Technical Conference and Exhibition, Las Vegas, Nevada, 22-25 September, 1985.
Dikken, B.J. Pressure drop in horizontal wells and its effect on production performance. J. Pet. Technol. 1990, 42(11): 1426-1433.
Giger, F.M., Reiss, L.H., Jourdan, A.P. The reservoir engineering aspects of horizontal drilling. Paper SPE 13024 Presented at the SPE Annual Technical Conference and Exhibition, Houston, 16-19 September, 1984.
Goode, P.A., Kuchuk, F.J. Inflow performance of horizontal wells. SPE Reserv. Eng. 1991, 6(3): 319-323.
Goode, P.A., Thambynayagam, R.K. Pressure drawdown and buildup analysis of horizontal wells in anisotropic media. SPE Form. Eval. 1987, 2(4): 683-697.
Hill, A.D., Zhu, D. The relative importance of wellbore pressure drop and formation damage in horizontal wells. Paper SPE 100207 Presented at the SPE Europec/EAGE Annual Conference and Exhibition in Vienna, Austria, 12-15 June, 2006.
Joshi, S.D. Production forecasting methods for horizontal wells. Paper SPE17580 Presented at the SPE international meeting on petroleum engineering in Tianjin, China, 1-4 November, 1988.
Kuchuk, F.J. Well testing and interpretation for horizontal wells. J. Pet. Sci. Eng. 1995, 47(1): 36-41.
Kuchuk, F.J., Goode, P.A., Wilkinson, D.J., et al. Pressure-transient behavior of horizontal wells with and without gas cap or aquifer. SPE Form. Eval. 1991, 6(1): 86-94.
Li, X., Liang, J., Xu, W., et al. The new method on gas-water two phase steady-state productivity of fractured horizontal well in tight gas reservoir. Adv. Geo-Energy Res. 2017, 1(2): 105-111.
Liu, S., Tang, S., Yin, S. Coalbed methane recovery from multilateral horizontal wells in Southern Qinshui Basin. Adv. Geo-Energy Res. 2018, 2(1): 34-42.
Luo, W., Tang, C. A semianalytical solution of a vertical fractured well with varying vonductivity under non-darcy-flow condition. SPE J. 2015, 20(5): 1028-1040.
Luo, W., Tang, C., Feng, Y. A semianalytical model for horizontal-well productivity with pressure drop along the wellbore. SPE J. 2018a.
Luo, W., Tang, C., Feng, Y., et al. Mechanism of fluid flow along a dynamic conductivity fracture with pressure-dependent permeability under constant wellbore pressure. J. Pet. Sci. Eng. 2018c, 166: 465-475.
Luo, W., Tang, C., Wang, X. Pressure transient analysis of a horizontal well intercepted by multiple non-planar vertical fractures. J. Pet. Sci. Eng. 2014, 124: 232-242.
Luo, W., Tang, C., Zhou, Y., et al. A new semi-analytical method for calculating well productivity near discrete fractures. J. Nat. Gas Sci. Eng. 2018b, 57: 216-223.
Mutalik, P.N., Godbole, S.P., Joshi, S.D. Effect of drainage area shapes on the productivity of horizontal wells. Paper SPE 18301 presented at the SPE 63rd Annual Technical Conference, Houston, 25 October, 1988.
Novy, R.A. Pressure drops in horizontal wells: When can they be ignored? SPE Reserv. Eng. 1995, 10(1): 29-35.
Ozkan, E., Raghavan, R. New solutions for well-test analysis problems. Part 1: Analytical considerations. SPE Form. Eval. 1991, 6(3): 359-368.
Ozkan, E., Raghavan, R., Joshi, S.D. Horizontal well pressure analysis. SPE Form. Eval. 1989, 4(4): 567-575.
Ozkan, E., Sarica, C., Haciislamoglu, M., et al. Effect of conductivity on horizontal well pressure behavior. SPE Adv. Technol. Ser. 1995, 3(1): 85-94.
Ozkan, E., Sarica, C., Haciislamoglu, M. Influence of pressure drop along the wellbore on horizontal-well productivity. SPE J. 1999, 4(3): 288-301.
Sarica, C., Haciislamoglu, M., Raghavan, R., et al. Influence of wellbore Hydraulics on pressure behavior and productivity of horizontal gas wells. J. Cell Biol. 1994, 210(7): 1257-1268.
Wang, W., Zheng, D., Sheng, G., et al. A review of stimulated reservoir volume characterization for multiple fractured horizontal well in unconventional reservoirs. Adv. Geo-Energy Res. 2017, 1(1): 54-63.
Wang, X., Economides, M.J. Horizontal well deliverability with turbulence effects. Paper SPE 121382 Presented at the SPE European Formation Damage Conference in Scheveningen, The Netherlands, 27-29 May, 2009.
Wang, X., Luo, W., Hou, X., et al. Pressure transient analysis of multi-stage fractured horizontal wells in boxed reservoirs. Pet. Explor. Dev. 2014, 41(1): 82-87.
Yue, P., Du, Z., Chen, X., et al. The pressure drop model of liquid flow with wall mass transfer in horizontal wellbore with perforated completion. Math. Probl. Eng. 2014, (1): 1-8.
Refbacks
- There are currently no refbacks.
Copyright (c) 2018 The Author(s)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.