Hydrodynamic waves and disturbances in nonlinear porous media and filtration parameters estimation

2^nd International Conference on Astrophysics and Particle Physics

November 13-15, 2017 San Antonio, USA

Marat N Ovchinnikov, Galiya G Kushtanova and Alexander G Gavrilov

Kazan Federal University, Russia

Scientific Tracks Abstracts: J Astrophys Aerospace Technol

Abstract :

The saturated porous media are heterogeneous under natural conditions in most situations. This fact complicates the calculation of the filtration parameters such as transmissibility and diffusivity coefficient and there is an additional difficulty associated with the nonlinearity also. First of all we have to note the essential permeability nonlinear dependence from the pressure in fracture porous media. Thus, the problem of the heterogeneity and nonlinearity contributions separating emerges when we run the buildup well tests. In this case appropriate results can be obtained using pulse tests and multiple pulses tests in the form of harmonic waves in addition to the standard buildup tests. We have studied the shape of the time dependence pressure curves using numerical simulation of nonlinear diffusivity equation. The dependence of the permeability on the pressure was approximated by realistic exponential and hyperbolic functions. The results of research show the possibility of the nonlinearity influence separation on the integral shape of the pressure curves.

Biography :

Marat Nicolaevich Ovchinnikov, doctor of physical and mathematical sciences, professor, head of the radioelectronic chair of the Kazan Federal University, Kazan, the Russian Federation. Expert in the field of the hydrodynamics.
Galiya Gatinishna Kushtanova, doctor of physical and mathematical sciences, associate professor of the radioelectronic chair of the Kazan Federal University, Kazan, the Russian Federation. Expert in the field of the applied mathematics.
Alexander Gennadievich Gavrilov, candidate of physical and mathematical sciences, associate professor of the radioelectronic chair of the Kazan Federal University, Kazan, the Russian Federation. Expert in the field of the experiment automation and measurement in oil wells.