14 citations · 21 across the 6 of their papers we have counts for
6 papers
Modern theory of hydraulic fracture modeling with using explicit and implicit schemes
A. M. Linkov
The paper presents novel results, obtained on the basis of the modified theory of hydraulic fractures (HF). The theory underlines significance of the speed equation. When applied t…
Solution of hydraulic fracture problem accounting for lag
Alexander M. Linkov
The paper presents a method for solving hydraulic fracture problems accounting for the lag. The method consists in matching the outer (basic) solution neglecting the lag, with the…
PKN problem for non-Newtonian fluid
Alexander Linkov
The paper presents analytical solution for hydraulic fracture driven by a non-Newtonian fluid and propagating under plane strain conditions in cross sections parallel to the fractu…
On equivalence of thinning fluids used for hydraulic fracturing
Alexander Linkov
The paper aims to answer the question: if and how non-Newtonian fluids may be compared in their mechanical action when used for hydraulic fracturing? By employing the modified form…
On modeling hydraulic fracture in proper variables: stiffness, accuracy, sensitivity
Gennady Mishuris, Michal Wrobel, Alexander Linkov
The problem of hydraulic fracture propagation is considered by using its recently suggested modified formulation in terms of the particle velocity, the opening in the proper degree…
Use of a speed equation for numerical simulation of hydraulic fractures
Alexander M. Linkov
The paper treats the propagation of a hydraulically driven crack. We explicitly write the local speed equation, which facilitates using the theory of propagating interfaces. It is…