Mathematical Description of a Bounded Oil Reservoir with a Horizontal Well: Early Time Flow Period
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Date
2021
Authors
Nzomo, T. K.
Adewole, S. E.
Awuor, K. O.
Oyoo, D. O.
Journal Title
Journal ISSN
Volume Title
Publisher
African Journal of Pure & Applied science (AJPAS)
Abstract
Horizontal wells are more productive compared to vertical wells if their performance is optimized. For a completely bounded oil reservoir, immediately the well is put into production, the boundaries of the oil reservoir have no effect on the flow. The pressure distribution thus can be approximated with this into consideration. When the flow reaches either the vertical or the horizontal boundaries of the reservoir, the effect of the boundaries can be factored into the pressure distribution approximation. In this paper we consider the above cases and present a detailed mathematical model that can be used for short time approximation of the pressure distribution for a horizontal well with sealed boundaries. The models are developed using appropriate Green’s and source functions. In all the models developed the effect of the oil reservoir boundaries as well as the oil reservoir parameters determine the flow period experienced. In particular, the effective permeability relative to horizontal anisotropic permeability, the width and length of the reservoir influence the pressure response. The models developed can be used to approximate and analyze the pressure distribution for horizontal wells during a short time of production. The models presented show that the dimensionless pressure distribution is affected by the oil reservoir geometry and the respective directional permeabilities.
Description
A research article published in African Journal of Pure and Applied science (AJPAS)
Keywords
Horizontal well, pressure distribution, bounded oil reservoir, permeability, short time approximation
Citation
Nzomo, T. K., Adewole, S. E., Awuor, K. O., & Oyoo, D. O. (2021). Mathematical description of a bounded oil reservoir with a horizontal well. African Journal of Pure and Applied Sciences, 2(1), 67-76. https://doi.org/10.33886/ajpas.v2i1.190