TY - JOUR
ID - 16068
TI - Mathematical modeling of a nonlinear two-phase flow in a porous medium and the inflow of volatile oil to a well taking into account inertial effects
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Aliev, Fikret Ahmadali
AU - Jamalbayov, Mahammad
AU - Hasanov, Ilyas
AU - Valiyev, Nazim
AU - Hajiyeva, Nazile
AD - Institute of Applied Mathematics, Baku State University, Baku, Azerbaijan.
AD - Socar "Oil gas scientific research project" Institute, AZ1122, Hasan
Bey Zardabi, Baku, Azerbaijan.
AD - Socar Head Office
Y1 - 2023
PY - 2023
VL - 11
IS - 4
SP - 664
EP - 675
KW - volatile oil
KW - inertial effects
KW - nonlinear flow
KW - Compressibility
KW - Deformation
DO - 10.22034/cmde.2023.48570.2032
N2 - This paper discusses a semi-analytic solution for the volatile oil influx into the well on the base of Forchheimer flow law. The solution is developed employing the concept of binary model for the two-phase petroleum hydrocarbon system in view of phase transformations and interphase mass transfer. Algorithms are developed for calculating the volatile oil reservoir key performance indicators by applying the material balance equations, which take into account the compaction behavior of rocks. A computer simulator for the volatile oil reservoir is modeled, proceeding from these algorithms. The inertial effects on the development process of a volatile oil reservoir, the rocks of which are exposed to elastic deformation, are studied by this simulator. In regard thereto, the reservoir development process is simulated in two variants in conformity with the constant depression: in the first case, it is assumed that the filtration occurs according to Darcy's law, while in the second one, the process is considered on the base of Forchheimer equation. A comparison of the results of these options made it possible to demonstrate the nature of the inertial effects on the volatile oil reservoir key performance indicators.
UR - https://cmde.tabrizu.ac.ir/article_16068.html
L1 - https://cmde.tabrizu.ac.ir/article_16068_690fec16072c4d6c289b4948131598c4.pdf
ER -