ISSN 2542–0380
Труды Института механики им. Р.Р. Мавлютова
Электронный научный журнал | Electronic Scientific Journal
Proceedings of the Mavlyutov Institute of Mechanics


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Shagapov V.Sh., Nagaeva Z.M. On elastic regime of filtration in hydraulic fracture Proceedings of the Mavlyutov Institute of Mechanics. 2016. 11(2). 156–166.
2016. Vol. 11. Issue 2, Pp. 156–166
URL: http://proc.uimech.org/uim2016.2.023
DOI: 10.21662/uim2016.2.023
On elastic regime of filtration in hydraulic fracture
Shagapov V.Sh.∗,∗∗, Nagaeva Z.M.∗∗∗
Institute of Mechanics and Engineering, Kazan
∗∗Mavlyutov Institute of Mechanics, Ufa
∗∗∗Ufa State Petroleum Technological University, Ufa

Abstract

Fluid recovery from a well in the modes of constant pressure drop and constant flow rate is considered basing on a theoretical model of filtration in a hydraulic fracture. Exact analytical solutions are obtained that allowed analyzing the effect of the reservoir and fracture properties (such as porosity, permeability and crack width) as well as the rheological properties of the saturating fluid upon: pressure evolution in the fracture, well flow rate at constant pressure drop, and pressure evolution in the wellbore.

On the basis of theoretical models describing the filtration for a crack in an oil or gas reservoirs, the considered problem on the selection of fluids from the well in modes constant differential pressure and constant flow. For the considered tasks are received exact analytical solutions, based on which we analyzed the influence of reservoir characteristics of the formation and fractures (for example, their porosity, permeability and width of cracks) and the rheological properties of the saturating fluid on the evolution of the pressure in the fracture, the production rate at a constant differential to the dynamics of the pressure in the well.

Keywords

hydraulic fracturing,
fracture,
filtration,
integral-differential equation,
pressure waves