Calculation of pressure and velocity vector field in a porous medium
DOI:
https://doi.org/10.22399/ijcesen.4475Keywords:
reservoir engineering, Navier Stocks3 equation, Darcy’s law , Peng-Robinson equation, Single-phase flowAbstract
The most notable omission, among the topics addressed in reservoir engineering, is the absence of any serious discussion on the complexities of hydrocarbon phase behavior. For this reason, we have tried to address this subject with great precision and care, which can be summarized in the process of illustrating the main functions of a reservoir engineer, namely estimating the hydrocarbons in place, calculating a recovery factor, and attaching a timescale to the recovery. This article presents many fundamental concepts of reservoir engineering.In our porous medium, which is a real gas deposit, we assumed that the temperature is constant at 170 F° and that the pressure varies between 2600 (psia) and 2000 (psia) in order to determine the behavior of a gas reservoir and to better understand the phase transformations (single-phase to two-phase) for the ideal extraction of the latter. The molar mass of this gas is considered constant , the density is .Let us consider a simple simulation in which our tank contains the gas with these different elements and is subjected to a constant temperature and a continuously increasing pressure. At a specific pressure (the critical pressure), during this study, the gas, which was entirely in a liquid phase at high pressure, evaporates. For this reason, it was necessary to maintain the pressure in the tank at a value of 2600 (psia) to ensure significant gas extraction, as demonstrated in our study.The application of the Peng-Robinson equation is the most important for reservoir gas because it will give us very important results compared to the ideal gas equation and it is described in several works that deal with the same subject.
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