Immiscible Displacement of Non-Newtonian Fluids in Communicating Stratified Reservoirs
- Noaman A.F. El-Khatib (Sudan U. Science & Technology)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Evaluation & Engineering
- Publication Date
- August 2006
- Document Type
- Journal Paper
- 356 - 365
- 2006. Society of Petroleum Engineers
- 2.5.2 Fracturing Materials (Fluids, Proppant), 4.1.2 Separation and Treating, 5.6.4 Drillstem/Well Testing, 5.3.4 Reduction of Residual Oil Saturation, 5.1.1 Exploration, Development, Structural Geology, 5.2.1 Phase Behavior and PVT Measurements, 1.2.3 Rock properties, 5.1 Reservoir Characterisation, 5.1.5 Geologic Modeling, 1.8 Formation Damage, 5.4.1 Waterflooding, 5.3.2 Multiphase Flow, 5.5 Reservoir Simulation, 4.1.5 Processing Equipment
- 1 in the last 30 days
- 643 since 2007
- Show more detail
- View rights & permissions
|SPE Member Price:||USD 12.00|
|SPE Non-Member Price:||USD 35.00|
The displacement of non-Newtonian power-law fluids in communicating stratified reservoirs with a log-normal permeability distribution is studied. Equations are derived for fractional oil recovery, water cut, injectivity ratio, and pseudorelative permeability functions, and the performance is compared with that for Newtonian fluids. Constant-injection-rate and constant-total-pressure-drop cases are studied.
The effects of the following factors on performance are investigated: the flow-behavior indices, the apparent mobility ratio, the Dykstra-Parsons variation coefficient, and the flow rate. It was found that fractional oil recovery increases for nw > no and decreases for nw < no, as compared with Newtonian fluids. For the same ratio of nw /no, oil recovery increases as the apparent mobility ratio decreases. The effect of reservoir heterogeneity in decreasing oil recovery is more apparent for the case of nw > no . Increasing the total injection rate increases the recovery for nw > no, and the opposite is true for nw < no . It also was found that the fractional oil recovery for the displacement at constant total pressure drop is lower than that for the displacement at constant injection rate, with the effect being more significant when nw < no .
Many of the fluids injected into the reservoir in enhanced-oil-recovery (EOR)/improved-oil-recovery (IOR) processes such as polymer, surfactant, and alkaline solutions may be non-Newtonian; in addition, some heavy oils exhibit non-Newtonian behavior.
Flow of non-Newtonian fluids in porous media has been studied mainly for single-phase flow. Savins (1969) presented a comprehensive review of the rheological behavior of non-Newtonian fluids and their flow behavior through porous media. van Poollen and Jargon (1969) presented a finite-difference solution for transient-pressure behavior, while Odeh and Yang (1979) derived an approximate closed-form analytical solution of the problem. Chakrabarty et al. (1993) presented Laplace-space solutions for transient pressure in fractal reservoirs.
For multiphase flow of non-Newtonian fluids in porous media, the problem was considered only for single-layer cases. Salman et al. (1990) presented the modifications for the Buckley-Leverett frontal-advance method and for the JBN relative permeability method for non-Newtonian power-law fluid displacing a Newtonian fluid. Wu et al. (1992) studied the displacement of a Bingham non-Newtonian fluid (oil) by a Newtonian fluid (water). Wu and Pruess (1998) introduced a numerical finite-difference solution for displacement of non-Newtonian fluids in linear systems and in a five-spot pattern. Yi (2004) developed a Buckley-Leverett model for displacement by a Newtonian fluid of a fracturing fluid having a Herschel-Bulkley rheological behavior. An iterative procedure was used to obtain a solution of the model.
The methods available in the literature to predict linear waterflooding performance in stratified reservoirs are grouped into two categories depending on the assumption of communication or no communication between the different layers.
In the case of noncommunicating systems, no vertical crossflow is permitted between the adjacent layers. The Dykstra-Parsons (1950) method is the basis for performance prediction in noncommunicating stratified reservoirs.
|File Size||1 MB||Number of Pages||10|
Bird, R.B., Stewart, W.E., and Lightfoot,E.N. 1960. Transport Phenomena, 206. New York City: John Wiley& Sons Inc.
Cannella, W.J., Huh, C., and Seright,R.S. 1988. Prediction of XanthanRheology in Porous Media. Paper SPE 18089 presented at the SPE AnnualTechnical Conference and Exhibition, Houston, 2-5 October.
Chakrabarty, C., Tortike, W.S., andFarouq Ali, S.M. 1993. Complexities in the Analysis ofPressure-Transient Response for Non-Newtonian Power-Law Fluid Flow in FractalReservoirs. Paper SPE 26910 presented at the SPE Eastern Regional Meeting,Pittsburgh, Pennsylvania, 2-4 November.
Dykstra, H. and Parsons, R.L. 1950. ThePrediction of Oil Recovery by Waterflooding. In Secondary Recovery of Oil inthe United States, second edition, 160-174. Washington, DC: API.
El-Khatib, N. 1999. Waterflooding Performance ofCommunicating Stratified Reservoirs With Log-Normal PermeabilityDistribution. SPEREE 2 (6): 542-549. SPE-59071-PA.
Gleasure, R.W. 1990. An Experimental Study ofNon-Newtonian Polymer Rheology Effects on Oil Recovery and Injectivity.SPERE 5 (4): 481-486. SPE-17648-PA.
Gogarty, W.B., Levy, G.L., and Fox, V.G.1972. Viscoelastic Effects inPolymer Flow Through Porous Media. Paper SPE 4025 presented at the SPEAnnual Meeting, San Antonio, Texas, 8-11 October.
Hearn, C.L. 1971. Simulation of Stratified Waterfloodingby Pseudo Relative Permeability Curves. JPT 23 (7): 805-813.SPE-2929-PA.
Herschel, W. and Bulkley, R. 1926.Consistency Measurements on Rubber-Benzene Solutions. Koll. Zeit.39: 291.
Hiatt, N.W. 1958. Injected-Fluid Coverageof Multi-Well Reservoirs With Permeability Stratification. Drill. and Prod.Prac. 165: 165-194. Washington, DC: API.
Odeh, A.S. and Yang, H.T. 1979. Flow of Non-Newtonian Power-Law FluidsThrough Porous Media. SPEJ 19 (3): 155-163.SPE-7150-PA.
Salman, M., Baghdikian, S.Y., Handy,L.L., and Yortsos, Y.C. 1990. Modification of Buckley-Leverett andJBN Methods for Power-Law Fluids. Paper SPE 20279 available from SPE,Richardson, Texas.
Savins, J.G. 1969. Non-Newtonian Flow Through PorousMedia. Ind. Eng. Chem. 61 (10): 18-47.
Stiles, W.E. 1949. Use of PermeabilityDistribution in Water Flood Calculation. Trans., AIME 186:9-13.
Teeuw, D. and Hesselink, F.T. 1980. Power-Law Flow and HydrodynamicBehaviour of Polymer Solutions in Porous Media. Paper SPE 8982 presented atthe SPE Oilfield and Geothermal Chemistry Symposium, Stanford, California,28-30 May.
van Poollen, H.K. and Jargon, J.R. 1969.Steady-State and Unsteady-StateFlow of Non-Newtonian Fluids Through Porous Media. SPEJ 9(1): 80-88; Trans., AIME, 246. SPE-1567-PA.
Warren, J.E. and Cosgrove, J.J. 1964. Prediction of Waterflood Behavior in aStratified System. SPEJ 4 (2): 149-157; Trans., AIME,231. SPE-581-PA.
Wu, Y.-S. and Pruess, K. 1998. A Numerical Method forSimulating Non-Newtonian Fluid Flow and Displacement in Porous Media.Adv. in Water Res. 21 (5): 351-362.
Wu, Y.-S., Pruess, K., and Witherspoon,P.A. 1992. Flow and Displacementof Bingham Non-Newtonian Fluids in Porous Media. SPERE 7(4):369-376. SPE-20051-PA.
Yi, X. 2004. Model for Displacement ofHerschel-Bulkley Non-Newtonian Fluid by Newtonian Fluid in Porous Media and ItsApplication in Fracturing Fluid Cleanup. Paper SPE 86491 presented at theSPE International Symposium and Exhibition on Formation Damage Control,Lafayette, Louisiana, 18-20 February.