Modified Version of Aronovsky Model for Predicting the Performance of Naturally Fractured Oil Reservoirs

Main Article Content

Hazim H. Al-Attar
Essa Lwisa


In this work the mathematical model developed by Aronovsky et. al. for predicting rates of free-water imbibition in naturally fractured oil reservoirs has been modified. The proposed model allows prediction of fractional oil recovery by spontaneous water imbibition in core samples with high accuracy.

The proposed modification involves development of an empirical correlation for the reservoir rock/fluid system-dependent parameter (l) used in Aronofsky model and defined as rate of convergence. The key reservoir rock and fluid physical properties considered in this work include absolute permeability of the rock, porosity, initial water saturation, interfacial tension between oil and water (IFT), viscosity of oil, viscosity of water, and length of core sample.

The accuracy of the modified model is evaluated using the results of laboratory imbibition tests on nine limestone core samples. All imbibition tests were conducted at 90 ° C. The absolute per cent error based on laboratory versus calculated values of (l) is found to range between 0.334 and 3.88.

The proposed model may also be applied for predicting fractured reservoir performance on field scale by simply replacing the core length by matrix block length when the block is totally immersed in water. Additional experimental work and/or field observations would be necessary to verify the reliability of the proposed modification.


Download data is not yet available.


Metrics Loading ...

Article Details

How to Cite
Al-Attar, H. H., & Lwisa, E. (2017). Modified Version of Aronovsky Model for Predicting the Performance of Naturally Fractured Oil Reservoirs. International Journal for Innovation Education and Research, 5(10), 114-123. Retrieved from
Author Biographies

Hazim H. Al-Attar, United Arab Emirates University

Chemical and Petroleum Engineering Department

Essa Lwisa, United Arab Emirates University

Chemical and Petroleum Engineering Department


Abubacker J., Al-Attar H., Zekri A., Khalifi M., Lwisa E.: “Selection of Smart Water As a Potential EOR Fluid”, Journal of Petroleum Exploration and Production Technology, DOI 10.1007/s13202-017-0315-52017, Jan. 2017
Adibhatla B. and Mohanty K. K.,”Oil recovery From Fractured Carbonates by Surfactant Aided Gravity Drainage: Laboratory Experiments and Mechanistic Simulation,” SPEREEJ, 11 (2008) 119 – 130.
Al-Attar, H., “Experimental Study of Spontaneous Imbibition in Selected Carbonate Core Samples,” Journal of Petroleum Science and Engineering, Vol. 70, Issues 3 – 4, February 2010, 320 – 326.
Al-Attar H., Yehia M., Zekri A., Almehaideb R. and Ghannam M.: “Low Salinity Flooding in a Selected Carbonate Reservoir: Experimental Approach,” Journal of Petroleum Exploration and Production Technology,” March 17, 2013, 139-149.
Al-Lawati, S. and Saleh, S., “Oil Recovery in Fractured Oil Reservoirs by Low IFT Imbibition Process,” paper SPE 36688 presented at the 1996 SPE Annual Technical Conference & Exhibition, Denver, CO, Oct. 6-9.
Aronovsky, J.S., Masse, J. and Natanson, S.F.,”Model for mechanism of oil recovery from the porous matrix due to water invasion in fractured reservoirs”. Trans. AIME, Vol. 213, 1958.
Babadagli, T., “Scaling of Capillary Co-Current and Counter-Current Capillary Imbibition for Surfactant and Polymer Injection in Naturally Fractured Reservoir,” SPEJ (Dec. 2001) 465.
Fischer H. and Morrow N.R., “Spontaneous Imbibition with Matched Liquid Viscosities,” Paper SPE 96812 presented at the 2005 SPE Annual Technical Conference and Exhibition, Dallas, TX, Oct. 9-12, 2005.
Kazemi, H., Gilman, J.R., and Eisharkawy, A.M., “Analytical and Numerical Solution of Oil Recovery from Fractured Reservoirs with Empirical Transfer Functions,” SPERE (May 1992) 219.
Li, K. and Horne, R.N., “A General Scaling Method for Spontaneous Imbibition,” paper SPE 77544 presented at the 2002 SPE Annual Technical Conference and Exhibition, San Antonio, TX, Sept. 29-Oct. 02, 2002.
Ma, S.M., Zhang, X., Morrow, N.R. and Zhou, X., “Characterization of Wettability from Spontaneous Imbibition Measurements,” JCPT (Special Edition 1999) 38, No.13, 1.
Mannon, R.W. and Chilingar, G.V., “Experiments on Effect of Water Injection Rate on Imbibition Rat e in Fractured Reservoir,” SPE # 4101, 1972.
Mattax, C.C. and Kyte, J.R., “Imbibition Oil Recovery from Fractured Water Drive Reservoir,” SPEJ, 12(2), P177-184, June 1972.
Zhang, X., Morrow, N.R. and Ma, S., “Experimental Verification of a Modified Scaling Group for Spontaneous Imbibition,” SPERE (Nov. 1996) 280.