WELL TEST ANALYSIS OF A HORIZONTAL WELL IN AN INFINITE-ACTING RESERVOIR WITH GAS CAP
DOI:
https://doi.org/10.60787/jnamp.vol72no.680Keywords:
Horizontal well, Infinite-acting reservoir, Gas cap, Dimensionless pressureAbstract
Mathematical models have been derived to determine the pressure distribution of a horizontal well in an infinite-acting reservoir with gas cap, using the Source and Green’s functions and Newman’s product rule. The dimensionless pressure, PD increases with time and then plateaus signifying the effects of gas cap. The dimensionless pressure derivative, PD’ increases with time and then decreases slowly to zero upon encountering the constant pressure support. In this study, PD and PD’ increase as dimensionless pay thickness, hD increases, which implies that the smaller the hD the smaller the PD and PD’ and, for high well productivity, small hD is required. Also, hD is the critical factor for extending the life span of a horizontal well completion. This study improves well testing by incorporating vertical and lateral boundary conditions accurately into the models, resulting in reliable mathematical models, and providing insights into well placement strategy and reservoir management.
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Idudje, E. H., and Adewole, E. S. (2020) “A new test analysis procedure for pressure drawdown test of a horizontal well in an infinite-acting reservoir,” Nigerian Journal of Technology, 39, 816–820.
Ogbue, M. C., Anamonye, G. U., Aloamaka, A., Agbabi, P. O., Enyi, L. C., Adewole, E. S., and Bello, K. O. (2024) “A comprehensive pressure distribution model for horizontal well in a gas-cap reservoir,” Journal of Science and Technology Research, 6(2), 1–15.
Oloro, J. O., and Adewole, E. S. (2019) “Derivation of pressure distribution models for horizontal well using source function,” Journal of Applied Science and Environmental Management, 23(4), 575–583.
Ozkan, E., Raghavan, R., and Joshi, S. D. (1989) “Horizontal well pressure analysis,” SPE Formation Evaluation, 567–575.
Ozkan, E., and Raghavan, R. (1990) “Performance of horizontal wells subject to bottom water drive,” SPE Reservoir Engineering, 375–383.
Bakary, L. M., Kiogora, P. R., and Awuor, K. O. (2022) “Well test analysis of a horizontal well in a completely bounded isotropic reservoir,” International Journal of Mathematics Trends and Technology (IJMTT), 68(8), 46–66.
Odeh, S. A., and Babu, D. K. (1990). “Transient flow behaviour of horizontal wells: Pressure drawdown and buildup analysis,” SPE Formation Evaluation, 7–15.
Gringarten, A. C., and Ramey, H. J. (1973) “The use of source and Green’s functions in solving unsteady state flow in petroleum reservoirs,” Society of Petroleum Engineers Journal, 13, 285–296.
Bourdet, D. (2002) “Well test analysis: The use of advanced interpretation models,” Elsevier, Amsterdam.
Al Rbeawi, S., and Tiab, D. (2013) “Transient pressure analysis of horizontal wells in a multi-boundary system,” American Journal of Engineering Research (AJER), 2(4), 44–66.
Horne, R.N. (1995). Modern well test analysis. Petroway Inc., Petaluma, CA.
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