Determination of hydraulic fracture parameters using a non-stationary fluid injection

All-Russian conference on Nonlinear Waves: Theory and New Applications

Valov, A.V.^2 ; Golovin, S.V.^1,2

Lavrentyev Institute of Hydrodynamics SB RAS, Novosibirsk, Russia^1

Novosibirsk State University, Novosibirsk, Russia^2

关键词: Analytical determination;    Fluid pressures;    Fracture geometries;    Fracture parameter;    Numerical calculation;    Numerical solution;    Physical parameters;    Time-periodic flows;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/722/1/012008/pdf
DOI  :  10.1088/1742-6596/722/1/012008

来源: IOP

【 摘 要 】

In this paper, one provides a theoretical justification of the possibility of hydraulic fracture parameters determination by using a non-stationary fluid injection. It is assumed that the fluid is pumped into the fractured well with the time-periodic flow rate. It is shown that there is a phase shift between waves of fluid pressure and velocity. For the modelling purposes, the length and width of the fracture are assumed to be fixed. In the case of infinite fracture, one constructs an exact solution that ensures analytical determination of the phase shift in terms of the physical parameters of the problem. In the numerical calculation, the phase shift between pressure and velocity waves is found for a finite fracture. It is shown that the value of the phase shift depends on the physical parameters and on the fracture geometry. This makes it possible to determine parameters of hydraulic fracture, in particular its length, by the experimental measurement of the time shift and comparison with the numerical solution.