Unsteady inter-porosity flow modeling for a multiple media reservoir

• Autorzy: Nie R.-S. , Meng Y.-F. , Jia Y.-L. , Shang J.-L. , Wang Y.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with unsteady inter-porosity flow modeling of underground fluid in a multiple media reservoir. Assuming spherical vugs, symmetrically distributed pressure, negligible inter-porosity flow between matrix and vug systems and centrifugal flow of the fluid from matrix blocks or vugs to fractures, and treating media directly connected with wellbore as the fracture system, we establish and solve a model of unsteady inter-porosity flow for dual and triple porosity media reservoirs. We provide simulated graphs of pressure and pressure derivative log-log type curves, and analyze the transient flow process and characteristics of type curves affected by different parameters. The new type curves of unsteady inter-porosity flow modeling are evidently different in shape and characteristics from those of pseudo-steady inter-porosity flow modeling. The location of dimensionless pressure of unsteady inter-porosity is lower than that of pseudo-steady inter-porosity, which indicates that unsteady inter-porosity flow accelerates an energy supplement during production. Qualitatively, the unsteady inter-porosity flow modeling reduces the classical V-shaped response. We also estimated parameters from well test data in real applications using this model.

Słowa kluczowe

EN

unsteady inter-porosity flow; modeling; multiple media reservoir; type curves

• Wydawca: Instytut Geofizyki PAN ; Springer
• Czasopismo: Acta Geophysica
• Rocznik: 2012
• Tom: Vol. 60, no. 1
• Strony: 232--259
• Opis fizyczny: Bibliogr. 35 poz.

Twórcy

autor

Nie R.-S.

autor

Meng Y.-F.

autor

Jia Y.-L.

autor

Shang J.-L.

autor

Wang Y.

• State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Southwest Petroleum University, Chengdu, Sichuan Province, China,

Bibliografia

• Abdassah, D., and I. Ershaghi (1986), Triple-porosity systems for representing naturalny fractured reservoirs, SPE Formation Eval. 1, 2, 113-127.
• Al-Ghamdi, A., and I. Ershaghi (1996), Pressure transient analysis of dually fractured reservoirs. SPE J. 1, 1, 93-100.
• Bahrami, H., J. Siavoshi, H. Parvizi, S. Esmaili, M.H. Karimi, and A. Nasiri (2008), Characterization of fracture dynamic parameters to simulate naturally fractured reservoirs. In: Proc. Int. Petroleum Technology Conference, 3-5 December 2008, Kuala Lumpur, Malaysia, SPE 11971-MS.
• Bourdet, D. (2002), Well Test Analysis: The Use of Advanced Interpretation Models, Elsevier Science, Amsterdam, 426 pp.
• Bourdet, D., and A.C. Gringarten (1980), Determination of fissure volume and block size in fractured reservoirs by type-curve analysis. In: Proc. 55th Annual Fall Technical Conference and Exhibition, 21-24 September 1980, Dallas, Texas, USA, SPE 9293-MS.
• Braester, C. (1984), Influence of block size on the transition curve for a drawdown test in a naturally fractured reservoir, SPE J. 24, 5, 498-504.
• Bui, T.D., D.D. Mamora, and W.J. Lee (2000), Transient pressure analysis for partially penetrating wells in naturally fractured reservoirs. In: Proc. SPE Rocky Mountain Regional/Low-Permeability Reservoirs Symposium and Exhibition, 12-15 March 2000, Denver, Colorado, USA, SPE 60289-MS.
• Camacho-Velázquez, R., M. Vásquez-Cruz, and R. Castrejón-Aivar (2005), Pressure transient and decline curve behaviors in naturally fractured vuggy carbonate reservoirs, SPE Reserv. Eval. Eng. 8, 2, 95-111.
• Corbett, P.W.M., S. Geiger, L. Borges, M. Garayev, J.G. Gonzalez, and C. Valdez, (2010), Limitations in numerical well rest modelling of fractured carbonate rocks. In: Proc. EUROPEC/EAGE Annual Conference and Exhibition, 14-17 June 2010, Barcelona, Spain, SPE 130252-MS.
• De Swaan, O.A. (1976), Analytical solutions for determining naturally fractured reservoir properties by well testing, SPE J. 16, 3.
• Ertekin, T., and W. Sung (1989), Pressure transient analysis of coal seams in the presence of multi-mechanistic flow and sorption phenomena. In: Proc. SPE Gas Technology Symposium, 7-9 June 1989, Dallas, Texas, USA, SPE 19102-MS.
• Gu, F., and R. Chalaturnyk (2010), Permeability and porosity models considering anisotropy and discontinuity of coalbeds and application in coupled simulation. J. Petrol. Sci. Eng. 74, 3-4, 113-131.
• Izadi, M., and T. Yildiz (2007), Transient flow in discretely fractured porous media. In: Proc. Rocky Mountain Oil and Gas Technology Symposium, 16-18 April 2007, Denver, Colorado, USA, SPE 108190-MS.
• Jalali, Y., and I. Ershaghi (1987), Pressure transient analysis of heterogeneous naturalny fractured reservoirs. In: Proc. SPE California Regional Meeting, April 8-10 1987, Ventura, California, USA, SPE 16341-MS.
• Kumar, A., and D.C. Dalal (2010), Analysis of solute transport in rivers with transie nt storage and lateral inflow: An analytical study, Acta Geophys. 58, 6, 1094-1114.
• Lai, C.H., G.S. Bodvarsson, C.F. Tsang, and P.A. Witherspoon (1983), A new model for well test data analysis for naturally fractured reservoirs. In: SPE California Regional Meeting, 23-25 March 1983, Ventura, California, USA, SPE 11688-MS.
• Liu, J., G.S. Bodvarsson, and Y.S. Wu (2003), Analysis of flow behavior in fractured lithophysal reservoirs, J. Contam. Hydrol. 62-63, 189-211.
• Mai, A., and A. Kantzas (2007), Porosity distributions in carbonate reservoirs Rusing low-field NMR, J. Can. Petrol. Technol. 46, 7, 30-36.
• Nepf, H., and M. Ghisalberti (2008), Flow and transport in channels with submerged vegetation, Acta Geophys. 56, 3, 753-777.
• Nie, R.-S., and Y. Ding (2010), Research on the nonlinear spherical percolation model with quadratic pressure gradient and its percolation characteristics, Nat.Sci. 2, 2, 98-105.
• Popov, P., G. Qin, L. Bi, Y. Efendiev, Y., Z. Kang, and J. Li (2009), Multiphysics and multiscale methods for modeling fluid flow through naturally fractured carbonate Karst reservoirs, SPE Reserv. Eval. Eng. 12, 2, 218-231.
• Pulido, H., F. Samaniego, J. Rivera, and F. Díaz (2006), On a well-test pressure theory of analysis for naturally fractured reservoirs, considering transient interporosity matrix, microfractures, vugs, and fractures flow. In: Proc. First International Oil Conference and Exhibition, 31 August – 2 September 2006, Cancun, Mexico, SPE 104076-MS.
• Rangel-German, E.R., and A.R. Kovscek (2005), Matrix-fracture shape factors and multiphase-flow properties of fractured porous media. In: SPE Latin American and Caribbean Petroleum Engineering Conference, 20-23 June 2005, Rio de Janeiro, Brazil, SPE 95105-MS.
• Rawnsley, K., M. De Keijzer, L. Wei, S. Bettembourg, W. Asyee, J.-L. Massaferro, P. Swaby, D. Drysdale, and D. Boettcher (2007), Characterizing fracture and matrix heterogeneities in folded Devonian carbonate thrust sheets, Waterton Wight gas fields, Western Canada, Geol. Soc. London, Spec. Publ. 270, 265-279.
• Rasmussen, M.L., and F. Civan (2003), Full, short-, and long-time analytical solutions for hindered matrix-fracture transfer models of naturally fractured petroleum reservoirs. In: Proc. SPE Production and Operations Symposium, 22-25 March 2003, Oklahoma City, Oklahoma, USA, SPE 80892-MS.
• Sarma, P., and K. Aziz (2006), New transfer functions for simulation of naturalny fractured reservoirs with dual-porosity models, SPE J. 11, 3, 328-340.
• Shapiro, A., and E. Fedorovich, E. (2009), Boundary layer flows along sloping surfaces, Acta Geophys. 57, 4, 801-802.
• Stehfest, H. (1970), Algorithm 368: Numerical inversion of Laplace transforms [D5], Commun. ACM 13, 1, 47-49.
• Warren, J.E., and P.J. Root (1963), The behavior of naturally fractured reservoirs, SPE J. 3, 3, 245-255.
• Wijesinghe, A.M., and W.E. Culham (1984), Single-well pressure testing solutions for naturally fractured reservoirs with arbitrary fracture connectivity. In: Proc. SPE Annual Technical Conference and Exhibition, 16-19 September 1984, Houston, Texas, USA, SPE 13055-MS.
• Wijesinghe, A.M., and I. Kececioglu (1985), Analysis of interference pressure tests in naturally fractured reservoirs with macroscopic fracture and pore system permeabilities and unsteady inter-porosity flow. In: Proc. SPE Eastern Regional Meeting, 6-8 November 1985, Morgantown, West Virginia, USA, SPE 14522-MS.
• Wu, Y.-S., C. Ehlig-Economides, G. Qin, Z. Kang, W. Zhang, B. Ajayi, and Q. Tao (2007), A triple-continuum pressure-transient model for a naturally fractured vuggy reservoir. In: Proc. SPE Annual Technical Conference and Exhibition, 11-14 November 2007, Anaheim, California, USA, SPE 110044-MS.
• Wu, Y.-S., H.H. Liu, and G.S. Bodvarsson (2004), A triple-continuum approach for modeling flow and transport processes in fractured rock, J. Contam. Hydrol. 73, 1-4, 145-179.
• Yang, J., J. Yao, and Z.-S. Wang (2005), Study of pressure-transient characteristic for triple-medium composite reservoirs, J. Hydrodyn. 20, 4, 418-424.
• Zheng, S.Y., P.W.M. Corbett, and A. Emery (2003), Geological interpretation of well test analysis: A case study from a fluvial reservoir in the Gulf of Thailand, J. Petrol. Geol. 26, 1, 49-64.