Physical-mathematical modeling of the process of bringing the well on to a stable production in a porous-fractured reservoir
UDC: 622.276.038:532.5
DOI: 10.33285/0207-2351-2021-12(636)-43-48
Authors:
KOZHIN VLADIMIR N.
1,
GRIBENNIKOV OLEG A.1,2,
DEMIN SERGEI V.1,
VASILIEV IGOR A.1,
BULGAKOV SERGEI A.1,
MELNIKOV ARSENIY A.2
1 SamaraNIPIneft, Samara, Russia
2 Samara State Technical University
Keywords: mathematical modeling, unsteady filtration mode, Laplace transformations, reservoir – well – pump system, material balance, well testing, double permeability
Annotation:
The paper considers a mathematical instrument for interpreting the data of non-stationary operation of a reservoir – well – pump system. The system under consideration is presented in the form of a dual-permeability formation, provided that fluid is pumped into the well from both interlayers simultaneously with fluid overflow from less permeable to more permeable one. The mathematical instrument is based on the material balance equation, the further transformation of the model is performed in the Laplace transformations, the simplification of the model is performed with the expansion of the Bessel functions in a harmonic series in negative powers. The presented model is implemented without introducing the skin factor into the filtration dependency.
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