This article is cited in 18 papers

On the theory of filtration waves of pressure in a crack in a porous permeable medium

V. Sh. Shagapov^ab, Z. M. Nagaeva<sup>c

a</sup> Institute of Mechanics and Engineering, Kazan Scientific Center, Russian Academy of Sciences, Kazan, 420111, Russia
^b Mavlyutov Institute of Mechanics, Ufa Scientific Center, Russian Academy of Sciences, Ufa, 450054, Russia
^c Ufa State Oil Technical University, Ufa, 450062, Russia

Abstract: Pressure filtration waves in cracks in porous permeable medium are studied. The effect of the porosity and permeability of the formation and crack, the crack width, and the rheological properties of the saturating fluid on the dynamics of perturbations in the crack are studied. It is shown that in a porous permeable formation, a crack is a wave channel through which low-frequency pressure fluctuations in wells propagate. Accurate solutions are obtained which describe the evolution of pressure fields in a crack with an instantaneous pressure change in the well by a constant value. Based on these solutions, the corresponding dependences of the fluid flow on time and the pressure at the boundaries are determined.

Keywords: fracturing, crack, pressure waves, integrodifferential equation, variance analysis.

UDC: 532.546

Received: 25.03.2016
Revised: 21.09.2016

DOI: 10.15372/PMTF20170512

 English version: Journal of Applied Mechanics and Technical Physics, 2017, 58:5, 862–870

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