Colloidal Mobilization
The volumetric rate of colloidally induced surface particle release can be expressed as, by modifying the formulations by Khilar and Fogler (1983) and Civan (1996):
Contents
Hydraulic Mobilization
The volumetric rate of surface particle mobilization by the fluid shearing force can be expressed by modifying the formulations by Khilar and Fogler (1983) and Civan (1996) as:
Porosity and Permeability Variation
The porosity is expressed by (Liu and Civan, 1996):
and the permeability is estimated by (Liu and Civan, 1996)
Filter Cake Formation on the Injection Face
When the suspended particles existing in the injected fluid are large enough they cannot invade the formation or when a sufficient amount of fine particles are deposited in the porous formation to prevent particle invasion, a filter cake formation begins over the injection face. Liu and Civan (1995, 1996) applied a rate equation for the filter cake buildup similar to (Peng and Peden, 1992):
Model Assisted Analysis of Experimental Data
In this section, the application of the model to the analysis of formation damage in a variety of core tests is demonstrated. The model was validated and model parameters were determined using the data of core tests.
References
Civan, F., "A Generalized Model for Formation Damage by Rock-Fluid Interactions and Particulate Processes," SPE Paper 21183, Proceedings of the SPE 1990 Latin American Petroleum Engineering Conference, October 14-19, 1990, Rio de Janeiro, Brazil, 11 p.
Civan, F., Predictability of Formation Damage: An Assessment Study and Generalized Models, Final Report, U.S. DOE Contract No. DE-AC22- 90-BC14658, April 1994.
Civan, F., "A Multi-Phase Mud Filtrate Invasion and WellBore Filter Cake Formation Model," SPE Paper No. 28709, Proceedings of the SPE International Petroleum Conference & Exhibition of Mexico, October 10-13, 1994, Veracruz, Mexico, pp. 399-412.
Civan, F., "A Multi-Purpose Formation Damage Model," SPE 31101 paper, Proceedings of the SPE Formation Damage Symposium, Lafayette, Louisiana, February 14-15, 1996, pp. 311-326.
Civan, F., "Convenient Formulations for Immiscible Displacement in Porous Media," SPE Paper 36701, Proceedings of the 71st SPE Annual Tech. Conf. and Exhibition, Denver, Colorado, October 6-9, 1996, pp. 223-236.
Collins, E. R., Flow of Fluids Through Porous Materials, Penn Well Publishing Co., Tulsa, Oklahoma, 1961, 270 p.
Craig, F. F., Jr., The Reservoir Engineering Aspects of Waterflooding, Third Printing, November 1980, Society of Petroleum Engineers of AIME, New York, 1971, 134 p.
Dake, L. P., Fundamentals of Reservoir Engineering, Elsevier Scientific Publ. Co., New York, 1978, 443 p.
Eleri, O. O., & Ursin, J-R., "Physical Aspects of Formation Damage in Linear Flooding Experiments," SPE 23784 paper, presented at the SPE Intl. Symposium on Formation Damage Control, Lafayette, Louisiana, February 26-27, 1992.
Gruesbeck, C., & Collins, R. E., "Particle Transport Through Perforations," SPEJ, December 1982, pp. 857-865.
Gruesbeck, C., & Collins, R. E., "Entrainment and Deposition of Fine Particles in Porous Media," SPEJ, December 1982, pp. 847-856.
Jiao, D., & Sharma, M. M., "Formation Damage Due to Static and Dynamic Filtration of Water-Based Muds," SPE 23823 paper, presented at the SPE Intl. Symposium on Formation Damage Control, Lafayette, Louisiana, February 26-27, 1992.
Khilar, K. C., & Fogler, H. S., "Water Sensitivity of Sandstones," SPEJ, February 1983, pp. 55-64.
Ku, C-A., & Henry, Jr., J. D., "Mechanisms of Particle Transfer from a Continuous Oil to a Dispersed Water Phase, J. Colloid and Interface ScL, 1987, Vol. 116, No. 2, pp. 414-422.
Liu, X., & Civan, F., "Characterization and Prediction of Formation Damage in Two-Phase Flow Systems, SPE 25429 paper, Proceedings of the SPE Production Operations Symposium, March 21-23, 1993, Oklahoma City, Oklahoma, March 21-23, 1993, pp. 231-248.
Liu, X., & Civan, F, "Formation Damage and Skin Factors Due to Filter Cake Formation and Fines Migration in the Near-Wellbore Region," SPE 27364 paper, Proceedings of the 1994 SPE Formation Damage Control Symposium, February 9-10, 1994, Lafayette, Louisiana, pp. 259-274.
Liu, X., & Civan, E, "Formation Damage by Fines Migration Including Effects of Filter Cake, Pore Compressibility and Non-Darcy Flow—A Modeling Approach to Scaling from Core to Field," SPE Paper #28980, SPE International Symposium on Oilfield Chemistry, February 14-17, 1995, San Antonio, TX.
Liu, X., & Civan, F., "Formation Damage and Filter Cake Buildup in Laboratory Core Tests: Modeling and Model-Assisted Analysis," SPE Formation Evaluation J., Vol. 11, No. 1, March 1996, pp. 26-30.
Liu, X., Civan, F, & Evans, R. D., "Correlation of the Non-Darcy Flow Coefficient, J. of Canadian Petroleum Technology, Vol. 34, No. 10, 1995, pp. 50-54.
Luan, Z., "Splitting Pseudospectral Algorithm for Parallel Simulation of Naturally Fractured Reservoirs," SPE Paper 30723, Proceedings of the Annual Tech. Conf. & Exhibition held in Dallas, TX, October 22-25.
Muecke, T. W., "Formation Fines and Factors Controlling their Movement in Porous Media," JPT, pp. 147-150, Feb. 1979.
Peng, S. J., & Peden, J. M., "Prediction of Filtration Under Dynamic Conditions," paper SPE 23824 presented at the SPE Intl. Symposium on Formation Damage Control held in Lafayette, LA, February 26-27, 1992, pp. 503-510.
Rahman, S. S., & Marx, C., "Laboratory Evaluation of Formation Damage Caused by Drilling Fluids and Cement Slurry," J. Can. Pet. Tech., November-December, 1991, pp. 40-46.
Richardson, J. G., "Flow Through Porous Media," In: V. L. Streeter (Editor), Handbook of Fluid Dynamics, Section 16, McGraw-Hill, New York, 1961, pp. 68-69.
Sarkar, A. K., "An Experimental Investigation of Fines Migration in Two-Phase Flow," MS Thesis, U. of Texas, Austin, 1988.
Sarkar, A. K., & Sharma, M. M., "Fines Migration in Two-Phase Flow," JPT, May 1990, pp. 646-652.
Sutton, G. D., & Roberts, L. D., "Paraffin Precipitation During Fracture Stimulation," JPT, September 1974, pp. 997-1004.
Ucan, S., & Civan, R, "Simultaneous Estimation of Relative Permeability and Capillary Pressure for Non-Darcy Flow-Steady-State," SPE Paper 35271, Proceedings of the 1996 SPE Mid-Continent Gas Symposium, Amarillo, TX, April 29-30, 1996, pp. 155-163.
Yokoyama, Y, & Lake, L. W., "The Effects of Capillary Pressure on Immiscible Displacements in Stratified Porous Media," SPE 10109 paper, presented at the 56th Annual Fall Technical Conference and Exhibition of the Society of Petroleum Engineers of AIME, San Antonio, TX, October 5-7, 1981.
