Romanian Journal of Petroleum & Gas Technology (Feb 2023)
WELL PRODUCTION WITH CASING SAND BRIDGE
Abstract
Many reservoirs comprised of relatively young sediments are so poorly consolidated that sand will be produced along with the reservoir fluids unless the rate is restricted significantly. The mathematical modelling of the flow of the sanded well uses the continuity equation written in cylindrical coordinates, Darcy's law admitting its availability and the solutions of these equations obtained for the boundary conditions in the case of a crude oil well that produces sand floods. In this article we have created a numerical model based on the variation of fluid flow from the productive layer, depending on the pressure drop between the productive layer and the wellbore, as well as the permeability of the layer. As a function of the flows extracted from the well, we rewrote the flow variation equations as polynomial relations of order 5, the error being a maximum of 0.04%. After determining the flow through the two relationships and confronting the reality in the field, the article confirms the type of flow through sand.
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