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Solutions and type curves of a fluid flow model for naturally fractured reservoirs with influx recharge
LUIS XAVIER VIVAS CRUZ
JORGE ADRIAN PERERA BURGOS
MARCO ANTONIO TANECO HERNANDEZ
JOSE ALFREDO GONZALEZ CALDERON
Acceso Abierto
Atribución-NoComercial-SinDerivadas
10.1615/JPorMedia.2020033939
FLUID FLOW MODEL
NATURALLY FRACTURED RESERVOIR
INFLUX AT THE OUTER BOUNDARY
JOINT LAPLACE-HANKEL TRANSFORM
Modeling of fluid flow considering radially symmetric reservoirs is common in groundwater science and petroleum engineering. The Hankel transform is suitable for solving boundary value problems, considering this flow geometry. However, there are few applications of this transform for reservoirs with a finite wellbore radius, although there are formulas of the finite Hankel transform for homogeneous boundary conditions. In this work, we refer to them as the Cinelli formulas, which are used to obtain novel solutions for transient fluid flow in bounded naturally fractured reservoirs with time-varying influx at the outer boundary, i.e., a technique to incorporate inhomogeneous boundary conditions based on the Cinelli formulas is developed. An analysis shows that the results of the solutions are highly oscillating and slowly convergent. Nevertheless, we show that this problem is largely overcome when the long-time solution is expressed as a closed relationship. Accordingly, we present the characteristic drawdown pressure curves and its Bourdet derivatives for a double-porosity reservoir with influx recharge. These curves allow us to distinguish between the pressure drops of a single-porosity reservoir with influx recharge from that of a double-porosity closed reservoir, which have been stated in the literature to resemble one another. Similarly, double- and triple-porosity reservoirs are analyzed.
2020
Artículo
Journal of Porous Media, 23(10), 1015–1041, 2020.
Inglés
Vivas-Cruz, L. X., Perera-Burgos, J. A., Taneco-Hernández, M. A., & González-Calderón, A. (2020). Solutions and type curves of a fluid flow model for naturally fractured reservoirs with influx recharge. Journal of Porous Media, 23(10), 1015–1041.
HIDROBIOLOGÍA
Versión publicada
publishedVersion - Versión publicada
Aparece en las colecciones: Artículos de Investigación Arbitrados

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