Estimating Pressure Losses in Interconnected Fracture Systems: Integrated Tensor Approach
Publication: International Journal of Geomechanics
Volume 11, Issue 5
Abstract
A significant number of petroleum reservoirs and almost all geothermal reservoirs are characterized by high in situ stress and fractures, and fractures act as major flow paths for fluids. An integrated tensor model is proposed to solve three tasks: characterization of a heterogeneous fracture network, simulation of fluid flow through a complex system for estimation of the grid-based permeability tensor, and unsteady-state fluid flow simulation for estimation of production and pressure losses. Deformation of the matrix and fractures are solved separately and used to compute their dynamic porosity and permeability. Finite-element methods and boundary element methods are used for numerical modeling. The results of this study show that the proposed model can overcome problems requiring excessive computational resources, flow interactions between the matrix and fracture, and the effect of matrix deformation on fluid flow. Results also show that the integrated tensor model serves as an efficient tool for predicting the effect of stress on fracture deformation and consequent productivity and/or injectivity of naturally fractured reservoirs.
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References
Aghighi, M. A. (2007). “Fully coupled fluid flow and geomechanics in the study of hydraulic fracturing and post-fractuer production.” Ph.D. thesis, School of Petroleum Engineering, Univ. of New South Wales, Sydney, Australia.
Bagheri, M. A., and Settari, A. (2006). “Effects of fractures on reservoir deformation and flow modeling.” Can. Geotech. J., 43(6), 574–586.
Bai, M., Meng, F., Elsworth, D., and Roegiers, J.-C. (1999). “Analysis of stress-dependent permeability in nonorthogonal flow and deformation fields.” Rock Mech. Rock Eng., 32(3), 195–219.
Blum, P., Mackay, R., and Riley, M. S. (2009). “Stochastic simulations of regional scale advective transport in fractured rock masses using block upscaled hydro-mechanical rock property data.” J. Hydrol. (Amsterdam), 369(3–4), 318–325.
Castaing, C., Genter, A., Bourgine, B., Chilès, J. P., Wendling, J., and Siegel, P. (2002). “Taking into account the complexity of natural fracture systems in reservoir single-phase flow modelling.” J. Hydrol. (Amsterdam), 266(1–2), 83–98.
Charlez, P. A. (1999). Rock mechanics, Vol. 2, Editions Technip, Paris.
Chen, H. Y., Teufel, L. W., and Lee, R. L. (1995). “Coupled fluid flow and geomechanics in reservoir study. I. Theory and governing equations.” Proc., SPE Annual Technical Conf. and Exhibition, Society of Petroleum Engineers, Dallas.
Chin, L. Y., and Nagel, N. B. (2004). “Modeling of subsidence and reservoir compaction under waterflood operations.” Int. J. Geomech., 4(1), 28–34.
Chin, L. Y., Thomas, L. K., Sylte, J. E., and Pierson, R. G. (2002). “Iterative coupled analysis of geomechanics and fluid flow for rock compaction in reservoir simulation.” Oil Gas Sci. Technol., 57(5), 485–497.
Detournay, E. (2004). “Propagation regimes of fluid-driven fractures in impermeable rocks.” Int. J. Geomech., 4(1), 35–45.
El-Zein, A. H., Carter, J. P., and Airey, D. W. (2005). “Multiple-porosity contaminant transport by finite-element method.” Int. J. Geomech., 5(1), 24–34.
Ghassemi, A., Nygren, A., and Cheng, A. (2008). “Effects of heat extraction on fracture aperture: A poro-thermoelastic analysis.” Geothermics, 37(5), 525–539.
Gupta, A., Penuela, G., and Avila, R. (2001). “An integrated approach to the determination of permeability tensors for naturally fractured reservoirs.” J. Can. Pet. Technol., 40(12).
Haws, N. W., Rao, P. S. C., Simunek, J., and Poyer, I. C. (2005). “Single-porosity and dual-porosity modeling of water flow and solute transport in subsurface-drained fields using effective field-scale parameters.” J. Hydrol. (Amsterdam), 313(3–4), 257–273.
Kaczmaryk, A., and Delay, F. (2007). “Improving dual-porosity-medium approaches to account for karstic flow in a fractured limestone: Application to the automatic inversion of hydraulic interference tests (Hydrogeological Experimental Site, HES—Poitiers—France).” J. Hydrol. (Amsterdam), 347(3–4), 391–403.
Kazemi, H., Merril, L. S., Jr., Porterfield, K. L., and Zeman, P. R. (1976). “Numerical simulation of water-oil flow in naturally fractured reservoirs.” SPE J., 16(6), 317–326.
Kemmler, D., Adamidis, P., Wang, W., Bauer, S., and Kolditz, O. (2005). “Solving coupled geoscience problems on high performance computing platforms.” Computational Science—ICCS 2005, Springer, New York, 1064–1071.
Lough, M. F., Lee, S. H., and Kamath, J. (1998). “An efficient boundary integral formulation for flow through fractured porous media.” J. Comput. Phys., 143(2), 462–483.
Nair, R., Abousleiman, Y., and Zaman, M. (2005). “Modeling fully coupled oil-gas flow in a dual-porosity medium.” Int. J. Geomech., 5(4), 326–338.
Niessner, J., Helmig, R., Jakobs, H., and Roberts, J. E. (2005). “Interface condition and linearization schemes in the Newton iterations for two-phase flow in heterogeneous porous media.” Adv. Water Resour., 28(7), 671–687.
Novakowski, K., Bickerton, G., Lapcevic, P., Voralek, J., and Ross, N. (2006). “Measurements of groundwater velocity in discrete rock fractures.” J. Contam. Hydrol., 82(1–2), 44–60.
Park, Y. C., Sung, W. M., and Kim, S. J. (2002). “Development of a FEM reservoir model equipped with an effective permeability tensor and its application to naturally fractured reservoirs.” Energy Sources, 24(6), 531–542.
Pruess, K., and Narasimhan, T. N. (1988). “Numerical modeling of multiphase and nonisothermal flow in fractured media.” Symp. Conf. on Fluid Flow in Fractured Rocks, Georgia State Univ., Atlanta.
Rijken, M. C. M. (2005). “Modeling naturally fractured reservoirs: From experimental rock mechanics to flow simulation.” Doctoral dissertation, Univ. of Texas, Austin, TX.
Schutjens, P. M. T. M., et al. (2004). “Compaction-induced porosity/permeability reduction in sandstone reservoirs: Data and model for elasticity-dominated deformation.” SPE Reservoir Eval. Eng., 7(3), 202–216.
Sen, M., and Stoffa, P. (1995). Global optimization methods in geophysical inversion, Elsevier Science, Amsterdam, Netherlands.
Teimoori, A., Chen, Z., Rahman, S. S., and Tran, T. (2005). “Effective permeability calculation using boundary element method in naturally fractured reservoirs.” Pet. Sci. Technol., 23(5), 693–709.
Tester, J. W., and Petty, S. (2006). “The future of geothermal energy.” Massachusetts Institute of Technology, Cambridge, MA.
Tran, N. H., Chen, Z., and Rahman, S. S. (2007). “Characterizing and modelling of fractured reservoirs with object-oriented global optimization.” J. Can. Pet. Technol., 46(3), 39–45.
Tran, N. H., and Tran, K. (2007). “Combination of fuzzy ranking and simulated annealing to improve discrete fracture inversion.” Math. Comput. Model., 45(7–8), 1010–1020.
Watanabe, N., Wang, W. Q., McDermott, C. I., Taniguchi, T, and Kolditz, O. (2010). “Uncertainty analysis of thermo-hydro-mechanical coupled processes in heterogeneous porous media.” Comput. Mech., 45(4), 263–280.
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Information
Published In
International Journal of Geomechanics
Volume 11 • Issue 5 • October 2011
Pages: 353 - 363
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Dec 30, 2008
Accepted: Oct 17, 2010
Published online: Oct 17, 2010
Published in print: Oct 1, 2011
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