A Regression Analysis Approach to Van Everdingen-Hurst Dimensionless Water Influx Variables for Infinite and Finite Aquifers

Muhammad Taufiq Fathaddin, Yarra Sutadiwiria, Taufan Marhaendrajana, Sonny Irawan, Onnie Ridaliani Prapansya, Asri Nugrahanti

Abstract


Water influx calculations have relied on accurate values of the Van Everdingen-Hurst WeD dimensionless variables. For programming and hand calculators, equations are needed to determine WeD. Previous models provide equations for WeD calculations for infinite aquifer cases. This paper presents two sets of regression equations that are simple to apply to obtain accurate values of WeD for either infinite or finite aquifer cases. The proposed equations have good agreement with the Van Everdingen-Hurst method with an average difference of 0.77% and 1.18% for the cases of infinite aquifer and finite aquifer, respectively

Keywords


water influx, reservoir, aquifer, infinite, finite

References


Abdollahi, R., Nadri, M., Hasan, G., Safari, M. & Reisabadi, M.Z., 2021, ‘A Stepwise Approach for Identification of Water Production Mechanisms in Gas Reservoirs,’ Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, vol. 43, pp. 1–18. https://doi.org/10.1080/15567036.2021.1909185.

Ahmed, T., 2019, Reservoir Engineering Handbook. 5th ed. Cambridge: Elsevier, 2019. https://doi.org/10.1016/C2016-0-04718-6.

Ahmed, T. & McKinney, PD., 2005, Advanced Reservoir Engineering, Gulf Professional Pub, Boston.

Al-Mahasneh, M., Al-Khasawneh, H.E., Al-Zboon, K., Al-Mahasneh, M. & Aljarrah, A., 2023, ‘Water Influx Impact on Oil Production in Hamzeh Oil Reservoir in Northeastern Jordan: Case Study,’ Energies, vol. 16, no. 5, pp. 2126. https://doi.org/10.3390/en16052126.

Arwini, S.G. and Al Abbassi, H.M., 2020, ‘Aquifer Characterization and Modelling, a Case Study of Bahi Oil Field,’ University Bulletin, no. 1, no. 22, pp. 21–42.

BinMerdhah, A.B., Al-Khudafi, A.M., Muherei, M.A. & Bamumen, S.S., 2015, ‘Prediction of Water Influx Effect on Oil Production in Biyad Oil Reservoir’, Hadhramout Univ. J. Nat. Appl. Sci., vol. 12, no. 1, pp. 9–21.

Butarbutar, M.H.P, Juventa, and Marlinda, L., 2023, ‘Identifikasi Prospek Reservoir Hidrokarbon Menggunakan Inversi Impedansi Akustik pada Blok Kampar,’ Lembaran Publikasi Minyak dan Gas Bumi, vol. 57 no. 1, pp. 49 - 65.

https://doi.org/10.29017/LPMGB.57.1.1324

Edwardson, M.J., Girner, H.M., Parkison, H.R., Williams, C.D. & Matthews, C.S., 1962, ‘Calculation of Formation Temperature Disturbances Caused by Mud Circulation,’ Journal of Petroleum Technology, vol. 14, no. 04, pp. 416–26. https://doi.org/10.2118/124-PA.

Fathaddin, M.T., Irawan, S., Marhaendrajana, T., Rakhmanto, P.A., Malinda, M.T., Nugrahanti, A. & Ridaliani, O, 2023, ‘Application of Artificial Neural Network to Estimate Rate of Penetration for Geothermal Well Drilling in South Sumatera,’ International Journal of Emerging Technology and Advanced Engineering, vol. 13, no. 3, pp. 135–40. https://doi.org/10.46338/ijetae0323_14

Fetkovich, M.J., 1971, ‘A Simplified Approach to Water Influx Calculations-Finite Aquifer Systems,’ Journal of Petroleum Technology, vol. 23, no. 07, pp. 814–28. https://doi.org/10.2118/2603-PA.

Hurst, W., 1943, ‘Water Influx into a Reservoir and Its Application to the Equation of Volumetric Balance,’ Transactions of the AIME, vol. 151, no. 01, pp. 57–72. https://doi.org/10.2118/943057-G.

Klins, M. A., Bouchard, A. J. & Cable, C. L., 1988, ‘A Polynomial Approach to the van Everdingen-Hurst Dimensionless Variables for Water Encroachment,’ SPE Reservoir Engineering, vol. 3, no. 01, pp. 320–26. https://doi.org/10.2118/15433-PA.

Nmegbu, C.G.J., Ebube, O.F. & Edet, E.A., 2021, ‘Comparative Study of Oil Recovery Factor Determination for Edge and Bottom Water Drive Mechanism Using Water Influx Models,’ European Journal of Engineering and Technology Research, vol. 6, no. 5, pp. 1–9. https://doi.org/10.24018/ejers.2021.6.5.2493.

Roozshenas, A.A., Hematpur, H., Abdollahi, R., & Esfandyari, H., 2021, ‘Water Production Problem in Gas Reservoirs: Concepts, Challenges, and Practical Solutions,’ Mathematical Problems in Engineering, vol. 2021, no. 9075560, pp. 1–20. https://doi.org/10.1155/2021/9075560.

Ogolo, N.A., Isebor, J.O. & Onyekonwu, M. O., 2014, ‘Feasibility Study of Improved Gas Recovery by Water Influx Control in Water Drive Gas Reservoirs,’ Proceedings of the SPE Nigeria Annual International Conference and Exhibition, Lagos, Nigeria, August 2014, SPE-172364-MS. https://doi.org/10.2118/172364-MS.

Okon, A.N. & Ansa, I.B., 2021, ‘Artificial Neural Network Models for Reservoir-Aquifer Dimensionless Variables: Influx and Pressure Prediction for Water Influx Calculation,’ Journal of Petroleum Exploration and Production Technology, vol. 11, no. 4, pp. 1885–1904. https://doi.org/10.1007/s13202-021-01148-8.

Rosidelly, 2017, ‘Waterflood Susceptibility of Ngrayong Sandstone Reservoir in “X”-Well, XYZ Field, East Java,’ Scientific Contributions Oil and Gas, vol. 40, no. 1, pp. 9–23.

https://doi.org/10.29017/SCOG.40.1.34.

Sam-Marcus, J., Enaworu, E., Rotimi, O.J. & Seteyeobot, I., 2018, ‘A Proposed Solution to the Determination of Water Saturation: Using a Modelled Equation’, Journal of Petroleum Exploration and Production Technology, vol. 8, no. 4, pp. 1009–15.

https://doi.org/10.1007/s13202-018-0453-4.

Schilthuis, R.J., 1936, ‘Active Oil and Reservoir Energy,’ Transactions of the AIME, vol. 118, no. 01, pp. 33–52. https://doi.org/10.2118/936033-G.

Terry, R.E., Rogers, J.B. & Craft, B. C., 2015, Applied Petroleum Reservoir Engineering. Third edition, Prentice Hall, Upper Saddle River, NJ.

Van Everdingen, A.F. & Hurst, W., 1949, ‘The Application of the Laplace Transformation to Flow Problems in Reservoirs,’ Journal of Petroleum Technology, vol. 1, no. 12, pp. 305–24. https://doi.org/10.2118/949305-G.

Widarsono, B., 2019, ‘Imbibition Water-Oil Relative Permeability: Introduction of Wettability Strength for Enhancing Model Robustness,’ Scientific Contributions Oil and Gas, vol. 42, no. 1, pp. 85–90.

https://doi.org/10.29017/SCOG.42.1.395.




DOI: https://doi.org/10.29017/SCOG.47.1.1612

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