Using Distributed Volumetric Sources To Predict Production From Multiple-Fractured Horizontal Wells Under Non-Darcy-Flow Conditions
- Shahram Amini (Texas A&M University) | Peter P. Valkó (Texas A&M University)
- Document ID
- Society of Petroleum Engineers
- SPE Journal
- Publication Date
- March 2010
- Document Type
- Journal Paper
- 105 - 115
- 2010. Society of Petroleum Engineers
- 5.5 Reservoir Simulation, 5.3.2 Multiphase Flow, 5.8.1 Tight Gas, 5.8.3 Coal Seam Gas, 2 Well Completion, 2.5.2 Fracturing Materials (Fluids, Proppant), 5.8.2 Shale Gas, 3.2.3 Hydraulic Fracturing Design, Implementation and Optimisation, 5.6.3 Pressure Transient Testing, 5.6.4 Drillstem/Well Testing
- tight gas; horizontal well intersected by transverse fracture; non-Darcy flow; method of distributed volumetric sources; optimum fracture dimensions
- 1 in the last 30 days
- 1,402 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 10.00|
|SPE Non-Member Price:||USD 30.00|
The method of distributed volumetric sources (DVS) has been applied to predict gas production from a horizontal well with multiple transverse fractures in a bounded reservoir. Combining the quasianalytical DVS method, which provides us with the opportunity to predict pressure and production behavior of complex well/fracture configurations, with non-Darcy flow in the fracture enables us to calculate the optimum configuration in terms of the number and dimensions of fractures per well for a certain amount of proppant of a given type. The method is applied to an example case of a tight gas reservoir to maximize the production performance of this complex well/fracture configuration. Comparing results with and without inclusion of the non-Darcy effect in the fracture shows that a decrease in production occurs because of non-Darcy flow in all cases. However, a systematic screening of a realistic set of well/fracture configurations reveals that the detrimental effect of non-Darcy flow can be substantially compensated for by selecting the right number of fractures and shifting the fracture dimensions in favor of thicker fractures. While a simultaneous decrease in optimum lateral (and vertical) extension is necessary, it has limited effect on productivity. The simplicity, robustness, and small computational demand of the model allow seamless integration with external economic and operational constraints, providing a tool to screen and optimize a large set of possible configurations most suited for the development of economically marginal fields.
Modern drilling and completion technologies have now provided us the opportunity to design and implement complex well fracture configurations. These complex configurations are used mainly in development of economically marginal reserves, where nonfractured vertical wells would be uneconomical. Among the complex completion schemes of particular importance is the horizontal well completed with multiple transverse fractures. This completion scheme is now widely used in offshore and tight gas development projects.
The main goal of this paper is to provide a practical tool for prediction of the pressure and productivity behavior of such completions. Development of the method of DVS and the formulation of the problem for the case of a horizontal well with multiple fractures are discussed.
Because one of the main applications of this type of completion is in tight gas and the inertial effect for high-velocity gas flow is significant, in this work, the DVS method is implemented, taking into account the non-Darcy-flow effect in the fracture. A simple optimum search procedure is presented to achieve maximum production performance from a given amount of resources. The procedure is then applied to a tight-gas-field case, and it is demonstrated that, by selecting the right configuration, the detrimental effect of non-Darcy flow can be largely compensated for.
|File Size||681 KB||Number of Pages||11|
Agarwal, R.A. 1979. "Real GasPseudo-Time"--A New Function for Pressure Buildup Analysis of MHF GasWells. Paper SPE 8279 presented at the SPE Annual Technical Conference andExhibition, Las Vegas, Nevada, USA, 23-26 September. doi: 10.2118/8279-MS.
Al-Hussainy, R. Ramey, H.J. Jr., and Crawford, P.B. 1966. TheFlow of Real Gases Through Porous Media. J. PetTech 18 (5): 624-636; Trans., AIME, 237.SPE-1243-A.
Al-Kobaisi, M., Ozkan, E., and Kazemi, H. 2006. A Hybrid Numerical/Analytical Modelof a Finite-Conductivity Vertical Fracture Intercepted by a HorizontalWell. SPE Res Eval & Eng 24 (10): 345-355.SPE-92040-PA. doi: 10.2118/92040-PA.
Alvarez, C.H., Holditch, S.A., and McVay, D.A. 2002. Effects of Non-Darcy Flow on PressureTransient Analysis of Hydraulically Fractured Gas Wells. Paper SPE 77468presented at the SPE Annual Technical Conference and Exhibition, San Antonio,Texas, USA, 29 September-2 October. doi: 10.2118/77468-MS.
Amini, S. 2007. Development and Application of the Method of DistributedVolumetric Sources to the Problem of Unsteady-State Fluid Flow in Reservoirs.PhD dissertation, Texas A&M University, College Station, Texas.
Babu, D.K. and Odeh, A.S. 1989. Productivity of a HorizontalWell. SPE Res Eng 4 (4): 417-421. SPE-18298-PA. doi:10.2118/18298-PA.
Barree, R.D., Cox, S.A., Barree, V.L., and Conway, M.W. 2003. Realistic Assessment of Proppant PackConductivity for Material Selection. Paper SPE 84306 presented at the SPEAnnual Technical Conference and Exhibition, Denver, 5-8 October. doi:10.2118/84306-MS.
Busswell, G., Banerjee, R., Thambynayagam, R.K.M., and Spath, J. 2006. Generalized Analytical Solution forReservoir Problems With Multiple Wells and Boundary Conditions. Paper SPE99288 presented at the Intelligent Energy Conference and Exhibition, Amsterdam,11-13 April. doi: 10.2118/99288-MS.
Chen, H.-Y. and Asaad, N. 2005. Horizontal Well ProductivityEquations With Both Uniform-Flux and Uniform-Pressure Wellbore Modes. PaperSPE 97190 presented at the SPE Annual Technical Conference and Exhibition,Dallas, 9-2 October. doi: 10.2118/97190-MS.
Cinco-Ley, H. and Meng, H.-Z. 1988. Pressure Transient Analysis of WellsWith Finite Conductivity Vertical Fractures in Double Porosity Reservoirs.Paper SPE 18172 presented at the SPE Annual Technical Conference andExhibition, Houston, 2-5 October. doi: 10.2118/18172-MS.
Cinco-Ley, H., Samaniego, V.F., and Dominguez A., N. 1978. Transient Pressure Behavior for a WellWith a Finite-Conductivity Vertical Fracture. SPE J. 18(4): 253-264. SPE-6014-PA. doi: 10.2118/6014-PA.
Goode, P.A. and Kuchuk, F.J. 1991. Inflow Performance of HorizontalWells. SPE Res Eng 6 (3): 319-323. SPE-21460-PA. doi:10.2118/21460-PA.
Gringarten, A.C. and Ramey, H.J. Jr. 1973. The Use of Source and Green'sFunctions in Solving Unsteady-Flow Problems in Reservoirs. SPE J. 13 (5): 285-296; Trans., AIME, 255. SPE-3818-PA.doi: 10.2118/3818-PA.
Gringarten, A.C., Ramey, H.J. Jr., and Raghavan, R. 1974. Unsteady-State Pressure DistributionsCreated by a Well With a Single Infinite-Conductivity Vertical Fracture.SPE J. 14 (4): 347-360; Trans., AIME, 257.SPE-4051-PA. doi: 10.2118/4051-PA.
Guppy, K.H., Cinco-Ley, H., Ramey H.J. Jr., and Samaniego-V., F. 1982. Non-Darcy Flow in Wells WithFinite-Conductivity Vertical Fractures. SPE J. 22 (5):681-698. SPE-8281-PA. doi: 10.2118/8281-PA.
Horne, R.N. and Temeng, K.O. 1995. Relative Productivities and PressureTransient Modeling of Horizontal Wells With Multiple Fractures. Paper SPE29891 presented at the Middle East Show, Bahrain, 11-14 March. doi:10.2118/29891-MS.
Hovanessian, S.A. 1961. PressureStudies in Bounded Reservoirs. SPE J. 1 (4): 223-228;Trans., AIME, 222. SPE-50-PA. doi: 10.2118/50-PA.
Larsen, L. and Hegre, T.M. 1994. Pressure Transient Analysis ofMultifractured Horizontal Wells. Paper SPE 28389 presented at the SPEAnnual Technical Conference and Exhibition, New Orleans, 25-28 September. doi:10.2118/28389-MS.
Lee, J.W., Rollins, J.B., and Spivey, J.P. 2003. Pressure TransientTesting. Textbook Series, SPE, Richardson, Texas 9: 313-340.
Lopez-Hernandez, H.D., Valko, P.P., and Pham, T.T. 2005. Optimum Fracture Treatment DesignMinimizes the Impact of Non-Darcy Flow Effects. Paper SPE 90195 presentedat the SPE Annual Technical Conference and Exhibition, Houston, 26-29September. doi: 10.2118/90195-MS.
Muskat, M. 1937. The Flow of Homogeneous Fluids Through Porous Media.New York: McGraw-Hill Book Co.
Newman, A.B. 1936. Heatingand Cooling Rectangular and Cylindrical Solids. Ind. Eng. Chem. 28 (5): 545-548. doi:10.1021/ie50317a010.
Ogunsanya, B.O., Oetama, T.P., Lea, J.F., Heinze, L.R., and Adisoemarta,P.S. 2005. A Coupled Model forAnalyzing Transient Pressure Behavior of Horizontal Drainholes. Paper SPE94331 presented at the SPE Production Operations Symposium, Oklahoma City,Oklahoma, USA, 16-19 April. doi: 10.2118/94331-MS.
Ogunsanya, B.O., Oetama, T.P., Lea, J.F., Heinze, L.R., and Adisoemarta,P.S. 2006. A Robust Type-Curve Solution for Analyzing Pressure-TransientBehavior of Both Vertical and Horizontal Fracture Systems. Paper SPE 105979presented at the Nigeria Annual International Conference and Exhibition, Abuja,Nigeria, 31 July-2 August.
Ozkan, E. 1988. Performance of Horizontal Wells. PhD dissertation,University of Tulsa, Tulsa, Oklahoma.
Peaceman, D.W. 1978. Interpretation of Well-Block Pressuresin Numerical Reservoir Simulation. SPE J. 18 (3):183-194; Trans., AIME, 265. SPE-6893-PA. doi:10.2118/6893-PA.
Poe, B.D. Jr. and Manrique, J.F. 2005. Production Performance DesignCriteria for Hydraulic Fractures. Paper SPE 101722 presented at the SPERussian Oil and Gas Technical Conference and Exhibition, Moscow, 3-6 October.doi: 10.2118/101722-MS.
Raghavan, R. 1993. Well Test Analysis. Englewood Cliffs, New Jersey:Prentice-Hall.
Raghavan, R.S., Chen, C.C., and Agarwal, B. 1997. An Analysis of Horizontal WellsIntercepted by Multiple Fractures. SPE J. 2 (3):235-245. SPE-27652-PA. doi: 10.2118/27652-PA.
Ramey, H.J. Jr. and Cobb, W.M. 1971. A General Pressure Buildup Theory fora Well in a Closed Drainage Area. J. Pet Tech 23 (12):1493-1505; Trans., AIME, 251. SPE-3012-PA. doi:10.2118/3012-PA.
Streltsova-Adams, T.D. 1979. Pressure Drawdown in a Well WithLimited Flow Entry. J. Pet Tech 31 (11): 1469-1476.SPE-7486-PA. doi: 10.2118/7486-PA.
Valkó, P.P. and Amini, S. 2007. The Method of Distributed VolumetricSources for Calculating the Transient and Pseudosteady-State Productivity ofComplex Well-fracture Configurations. Paper SPE 106279 presented at the SPEHydraulic Fracturing Technology Conference, College Station, Texas, USA, 29-31January. doi: 10.2118/106279-MS.
Vincent, M.C., Pearson, C.M., and Kullman, J. 1999. Non-Darcy and Multiphase Flow inPropped Fractures: Case Studies Illustrate the Dramatic Effect on WellProductivity. Paper SPE 54630 presented at the SPE Western Region Meeting,Anchorage, 26-27 May. doi: 10.2118/54630-MS.
Wei, Y. and Economides, M.J. 2005. Transverse Hydraulic Fractures From aHorizontal Well. Paper SPE 94671 presented at the SPE Annual TechnicalConference and Exhibition, Dallas, 9-12 October. doi: 10.2118/94671-MS.
Yildiz, T. and Bassiouni, Z.A. 1990. Transient Pressure Analysis inPartially-Penetrating Wells. Paper SPE 21551 presented at the CIM/SPEInternational Technical Meeting, Calgary, 10-13 June. doi:10.2118/21551-MS.