14-17 May 2018
New Orleans
US/Central timezone

Experimental Investigation of Non-linear Flows in Artificial Multiscale Frac-vuggy Media

14 May 2018, 15:46
2m
New Orleans

New Orleans

Poster + 3 Minute Pitch MS 1.08: Non-linear flows in porous media: impact of inertia and non-linear rheologies on pore scale processes and applications Parallel 2-G

Speaker

Mr Yang Yang (Petrochina Research Institute of Petroleum Exploration & Development )

Description

The size of the fractures and vugs ranges from micron scale to centimeter scale in frac-vuggy reservoir. And there is almost no flow in the rock matrix. Due to the multiscale of media, inertial coefficient is a key parameter to predict the correct production performances and behavior of frac-vuggy reservoirs. This paper introduced the process of making multiscale frac-vuggy media and will study the inertial coefficient of Forchheimer equation and its effect on oil-water two-phase flow in the media.
The experimental results of flow law showed that if flow rate is constant, the existence of non-linear flows for single water phase is determined by the fracture width and filling degree. And the effect of the vug can be ignored. However, for oil-water two phase flow, the fracture and vug both play an important role. Meanwhile, based on Rescaled Range Analysis(R/S), a mathematical model of judging non-linear flow is proposed. The Receiver Operating Characteristic (ROC) curve showed that it can accurately determine the flow law for oil-water two phase flow.
Through the analysis of the experimental data of non-linear flow, this paper proposed a modified Geertsma's empirical expression of inertial coefficient, which is a function of wetting phase saturation, fracture width, vug diameter, fracture porosity, vug porosity and total permeability. It’s more suitable for multiscale frac-vuggy media than previous literatures reports.
The experimental results of oil-water relative flow capacity showed that non-linear flow seriously affected water and oil relative permeability curves. When the flow law transforms from linear to non-linear, the irreducible water saturation will increase, the range of water saturation where oil-water two-phase can flow together will decrease and the same relative permeability point will decrease. When the inertia increases, it will be more serious.

References

Bear, J., 1972. Dynamics of Fluids in Porous Media. Elsevier, New York
Barree, R.D. and M.W. Conway: “Reply to Discussion of “Beyond Beta factors: A complete model for Darcy, Forchheimer, and Trans-Forchheimer flow in porous media”.” J.Pet.Tech. (2005), 73-74.
Chukwudozie, C.P., Tyagi, M., Sears, S.O., et al. Prediction of non-Darcy coefficients for inertial flows through the castlegate sandstone using image-based modeling. Transp Porous Med (2012)95:563-580.
Darcy, H., 1857. Recherches experimentales relatives au movement de l’eau dansles tuyaux, 1. Mallet-Bachelier.
Dudgeon, C., 1966. An experimental study of the flow of water through coarse granular media. La Houille Blanche (7), 785-801.
Dacun Li, Thomas W. Engler. Literature review on correlations of the non-Darcy coefficient. SPE 70015, 2001.
D.C. Frederick Jr. and R.M. Graves. New correlations to predict Non-Darcy flow coefficients at immobile and mobile water saturation. SPE 28451.
Ergun, S., 1952. Fluid flow through packed columns. Chem. Eng. Prog. 48, 89-94.
Evans, E.V. and Evans R.D. The influence of an immobile or mobile saturation upon non-darcy compressible flow of real gases in propped fractures. SPE 15066.
Forchheimer, P., 1901. Wasserbewegung durch boden. Z. Ver. Deutsch. Ing. 45, 1782-1788.
Gewers, C.W.W. and Nichol, L.R.: “Gas Turbulence Factor in a Microvugular Carbonate,” J. Cdn. Pet. Tech. (1969)8, 51.
Geertsma J. Estimating the coefficient of inertial resistance in fluid flow through porous media. SPEJ, 1974, 445-450.
Giorgi, T., 1997. Derivation of the Forchheimer law via matched asymptotic expansions. Transp. Porous Media 29(2), 191-206.
Ganesh Narayanaswamy, Mukul M. Sharma and G.A. Pope. Effect of heterogeneity on the non-Darcy flow coefficient. SPE Reservoir Eval. & Eng. 2(3), 6, 1999.
G. Souza, A.L. Zacchi Jr., A.B. Barretto Jr., and A.P. Pires. Analysis of the effect of different Forchheimer’s beta correlations in the results of numerical simulation of gas flow in naturally fractured reservoir. SPE 139175.
Huang, H., Ayoub, J., 2008. Applicability of the Forchheimer equation for non-Darcy flow in porous media. SPE J. 112–122 March, 2008.
Huang, K., Wan, J.W., Chen, C.X. et al, 2013. Experimental investigation on water flow in cubic arrays of spheres. Journal of Hydrology. 492, 61-68.
Irmay, S., 1964. Theoretical models of flow through porous media. In: International Symposium on Transport of Water in Porous Media, Paris.
Janicek, D., Katz, D.L., 1965. Applications of unsteady state gas flow calculations. Reprint from Res. Conf. Univ. of Michigan Research conference.
Jones, S.C. Using the inertial coefficient to characterize heterogeneity in reservoir rock. SPE 16949.
Kegang Ling, Jun He, Xingru Wu, et al. Determining coefficient of quadratic term in Forchheimer equation. IPTC 16582.
Kalaydjian, F.J.-M., Bourbiaux, B.J., Lombard, J.-M., 1996. Predicting gas condensatereservoir performance: how flow parameters are altered when approaching
production wells. SPE paper 36715. SPE ATCE.
Macdonald. I., EI-Sayed, M., Mow, K., Dullien, F., 1979. Flow through porous media the Ergun equation revisited. Ind. Eng. Chem. Fundam. 18 (3), 199-208.
Mandelbrot, B.B., Murad, S.T. 1979. Robust R/S Analysis of Long-run Serial Correlation. Proceedings of the 42nd Session of the International Statistic Institute, Manila: Bulletin of the I.S.I.
Ma, H., Ruth, D.W., 1993. The microscopic analysis of high Forchheimer number flow in porous media. Transp. Porous Media 13, 139–160.
Ma, H., Ruth, D., 1997. Physical explanation of non-Darcy effects for fluid flow in porous media. SPEJ Form. Eval. 13–18.
Moutsopoulos K. N., 2007. One-dimensional unsteady inertial flow in phreatic aquifers, induced by a sudden change of the boundary head, Transport in Porous Media, vol. 70, pp.97-125, doi 10.1007/s11242-006-9086-z.
Moutsopoulos K.N., J.N.E. Papaspyros and V.A. Tsihrintzis, 2009. Experimental Investigation of Inertial Flow Processes in Porous Media. J. of Hydrology. 374, pp. 242-254
Phipps, S.C. and Khalil, John N.: A Method for Determining the Exponent Value in a Forchheimer-Type Flow Equation. Journal of Petroleum Technology. (1975)7, 27
Pascal H., Quillian R.G., Kingston D.J. Analysis of vertical fracture length and non-Darcy flow coefficient using variable rate test. SPE, 1980.
Panfilov, M., Fourar, M., 2006. Physical splitting of non-linear effects in high-velocity stable flow through porous media. Advances in Water Resources, 331, pp. 41-48
Sen, Zekai, 1989. Nonlinear flow toward wells. J. of Hydraulic Eng., 115 (2), pp. 193-209
Sidiropoulou, M.G., Moutsopoulos, K.N., Tsihrintzis, V.A., 2007 Determination of Forchheimer equation coefficients a and b. Hydrological Processes, 21 (4), pp. 534-554.
Sedghi-Asl, M., and Rahimi, H., 2011. Adoption of Manning’s equation to 1D non-Darcy flow problems. J. of Hydraulic Res. 49(6), 814-817.
Sedghi-Asl, M., Rahimi, H., Salehi, R., 2014. “Non-Darcy flow of water through a packed column test”. ‎Transp. Porous Media, 101(2), 215-227.
Salahi, M.B., Sedghi-Asl, M., Parvizi, M., 2015. “Nonlinear flow through a packed column experiment”. ‎J. Hydrologic Eng., 20(9), 04015003.‎
Thauvin, F., Mohanty, K.K., 1998. Network modeling of non-Darcy flow through porous media. Transp. Porous Media 31, 19–37.
Venkataraman, P., Rao P. R. M., 1998 Darcian, transitional and turbulent flow through porous media, J. of Hydraulic Eng. 124, 840-846
Van Batenburg, D. and D. Milton-Tayler: “Discussion of SPE 89325, “Beyond beta factors: A complete model for Darcy, Forchheimer, and Trans-Forchheimer flow in porous media”.” J.Pet.Tech. (2005), 72-73.
Zeng, Z., Grigg, R., 2006. A criterion for non-Darcy flow in porous media. Transp. Porous Media 63, 57–69.

Acceptance of Terms and Conditions Click here to agree

Primary author

Mr Yang Yang (Petrochina Research Institute of Petroleum Exploration & Development )

Co-authors

Mr Huiqing Liu (China University of Petroleum(Beijing)) Mrs Meng Zhang (PetroChina Huabei Oilfield Company)

Presentation Materials

There are no materials yet.