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- W4285208094 abstract "This paper derives the mathematical model of the instability phenomenon in the heterogeneous porous media. The equation of continuity and some standard relation give rise to a nonlinear partial differential equation. To study the anomalous behavior of the saturation rate versus time at different inclination angles and porosity, we considered the time-fractional partial order derivative in the Caputo sense. The fractional reduced differential transform method (FRDTM) is used to obtain the approximate analytical solution of the time-fractional-order model. Finally, the accuracy of FRDTM is studied numerically by comparing with the numerical solutions for integer order α = 1. The result shows that FRDTM is accurate, reliable, efficient, and equivalent to physical phenomena." @default.
- W4285208094 created "2022-07-14" @default.
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- W4285208094 date "2022-01-01" @default.
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- W4285208094 title "ANALYTICAL STUDY OF INSTABILITY PHENOMENON WITH AND WITHOUT INCLINATION IN HOMOGENEOUS AND HETEROGENEOUS POROUS MEDIA USING FRACTIONAL APPROACH" @default.
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- W4285208094 doi "https://doi.org/10.1615/jpormedia.2022041373" @default.
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