19 citations · 45 across the 11 of their papers we have counts for
11 papers
An implicit level set algorithm for hydraulic fracturing with a stress-layer asymptote
A. V. Valov, E. V. Dontsov, A. N. Baykin +1
The capability to simulate a hydraulic fracturing process is an essential tool that can be used to optimize treatment design and increase the efficiency of field operations. In mos…
The coupling of an enhanced pseudo-3D model for hydraulic fracturing with a proppant transport model
Arthur M. Skopintsev, Egor V. Dontsov, Pavel V. Kovtunenko +2
This paper presents the coupled model of a hydraulic fracturing and proppant transport. The former is described in terms of enhanced pseudo-3D model that considers height growth ac…
Non-symmetry of a hydraulic fracture due to the inhomogeneity of the reservoir
Alexey N. Baykin, Sergey V. Golovin
It is usually assumed that hydraulic fracture has two symmetrical wings with respect to the fluid injection point. Hence, authors limit themselves to modelling of one half of the f…
Influence of pore pressure to the development of a hydraulic fracture in poroelastic medium
Sergey V. Golovin, Alexey N. Baykin
In this paper we demonstrate the influence of the pore pressure to the development of a hydraulically-driven fracture in a poroelastic medium. We present a novel numerical model fo…
Fluid flow in a reservoir drained by a multiple fractured horizontal well
S. V. Golovin, K. A. Gadylshina
A mathematical model for computation of the fluid pressure in a reservoir drained by a horizontal multiple fractured well is proposed. The model is applicable for an arbitrary netw…
Complete classification of stationary flows with constant total pressure of ideal incompressible infinitely conducting fluid
S. V. Golovin, M. K. Krutikov
The exhaustive classification of stationary incompressible flows with constant total pressure of ideal infinitely electrically conducting fluid is given. By introduction of curvili…
Natural curvilinear coordinates for ideal magnetohydrodynamics equations. Solutions with constant total pressure
Sergey V. Golovin
Equations of magneto-gasdynamics in the natural curvilinear system of coordinates where trajectories and magnetic lines play a role of coordinate curves are reduced to the nonlinea…
Analytical description of stationary ideal MHD flows with constant total pressure
Sergey V. Golovin
Incompressible stationary flows of ideal plasma are observed. By introduction of curvilinear system of coordinates in which streamlines and magnetic force lines form a family of co…
Exact solution describing a shallow water flow in an extending stripe
Sergey V. Golovin
Partially invariant solution to (2+1)D shallow water equation is constructed and investigated. The solution describes an extension of a stripe, bounded by linear source and drain o…
On the hierarchy of partially invariant submodels of differential equations
Sergey V. Golovin
It is noticed, that partially invariant solution (PIS) of differential equations in many cases can be represented as an invariant reduction of some PIS of the higher rank. This int…
Multidimensional fluid motions with planar waves
Sergey V. Golovin
In the classical one-dimensional solution of fluid dynamics equations all unknown functions depend only on time t and Cartesian coordinate x. Although fluid spreads in all directio…