Abstract
this article presents a single-well Capacitance Resistive Model (CRM) developed by the author for analyzing well flooding by peripheral water in highly permeable formations. The introduction briefly discusses various types of CRM models, including CRMT, CRMP, CRMIP, CRM Omega, CRMs, CRM-Block, ML-CRM, and the modified CRMT-M, CRMP-M, and CRMIP-M versions. The key advantage of CRM models is the omission of reservoir pressure in calculations. It is replaced with a ratio involving bottomhole pressure, fluid flow rate, and productivity factor, determined by well design. The article focuses on a simulation model for predicting bottomhole pressure and fluid flow rate in single wells experiencing peripheral water flooding. It provides equations for calculating bottomhole pressure at a given fluid flow rate, fluid flow rate at a given bottomhole pressure, average saturation in the drained volume, saturation on the well wall, water cut, oil and water flow rates, and water inflow from the aquifer. Additionally, empirical formulas for average saturation in the drained volume are presented. A field example from the Timan-Pechora oil and gas province is examined. The model can estimate drainage volumes and productivity coefficients. We also constructed predictive models for bottomhole pressure, fluid flow rate, average saturation, and watercutting. The results indicate differences in predictive accuracy based on the distance of wells from other operating wells and the selected saturation models.
References
Данько М. Ю., Бриллиант Л. С., Завьялов А. С. Применение метода динамического материального баланса и CRM-метода (Capacitance-Resistive Model) к подсчету запасов ачимовских и баженовских коллекторов. Недропользование XXI век. 2019;4:76–85.
Ручкин А. А., Степанов С. В., Князев А. В. и др. Исследование особенностей оценки взаимовлияния скважин на примере модели CRM. Вестник Тюменского государственного университета. Физико-математическое моделирование. Нефть, газ, энергетика. 2018;4(4):148–168. DOI: 10.21684/2411-7978-2018-4-4-148-168.
Хатмуллин И. Ф., Андрианова А. М., Маргарит А. С. Полуаналитические модели расчета интерференции скважин на базе класса моделей CRM. Нефтяное хозяйство. 2018;12:38–41. DOI: 10.24887/0028-2448-2018-12-38-41.
Gladkov A., Sakhibgareev R., Salimov D. et al. Application of CRM for Production and Remaining Oil Reserves Reservoir Allocation In Mature West Siberian Waterflood Field. SPE Russian Petroleum Technology Conference. Moscow; 2017. Режим доступа: https://onepetro.org/SPERPTC/proceedings-abstract/17RPTC/3-17RPTC/D033S021R005/244889. DOI: 10.2118/187841-MS.
Yousefi S. H., Rashidi F., Sharifi M. et al. Prediction of Immiscible Gas Flooding Performance: a Modified Capacitance–Resistance Model and Sensitivity Analysis. Petroleum Science. 2019;16:1086– 1104. DOI: 10.1007/s12182-019-0342-6.
Lasdon L., Shirzadi S., Ziegel E. Implementing CRM Models for Improved Oil Recovery in Large Oil Fields. Optimization and Engineering. 2017;18:87–103. DOI: 10.1007/s11081-017-9351-8.
Holanda R. W., Gildin E., Jensen J. L. et al. A State-of-the-Art Literature Review on Capacitance Resistance Models for Reservoir Characterization and Performance Forecasting. Energies. 2018;11(12):33–68. DOI: 10.3390/en11123368.
Sayarpour M. Development and Application of Capacitance-Resistive Models to Water/CO2 Floods. Dissertation by Ph.D. Austin; 2008. 236 p. DOI: 10.13140/RG.2.1.1798.3847.
Степанов С. В., Поспелова Т. А. Новая концепция математического моделирования для принятия решений по разработке месторождений. Нефтяное хозяйство. 2019;4:50–53. DOI: 10.24887/0028-2448-2019-4-50-53.
Olenchikov D., Posvyanskii D. Application of CRM-Like Models for Express Forecasting and Optimizing Field Development. SPE Russian Petroleum Technology Conference. Moscow; 2019. Режим доступа: https://onepetro.org/SPERPTC/proceedings-abstract/19RPTC/3-19RPTC/D033S022R008/219236.
Sayarpour M., Kabir C. S., Lake L. W. Field Applications of Capacitance Resistive Models in Waterfloods. SPE Reservoir Engineering. 2009;12(6):853–864. DOI: 10.2118/114983-MS.
Sayarpour M., Zuluaga E., Kabir C. S. at al. The Use of Capacitance–Resistance Models for Rapid Estimation of Waterflood Performance and Optimization. Journal of Petroleum Science and Engineering. 2009;69:227–238. DOI: 10.1016/j.petrol.2009.09.006.
Sayarpour M., Kabir C. S., Sepehrnoori K. at al. Probabilistic History Matching with the CapacitanceResistance Model in Waterfloods: A Precursor to Numerical Modeling. SPE Improved Oil Recovery Symposium. Tulsa; 2010. DOI: 10.2118/129604-MS.
Басниев К. С., Кочина И. Н., Максимов В. М. Подземная гидродинамика. М.: Недра; 1993. 416 с.