TY - JOUR
T1 - Conjugate Solutions of Navier-Stokes Equation with Deformed Pore Structure
AU - Popkov, V.I.
AU - Astafiev, V.I.
AU - Shakshin, V.P.
AU - Zatsepina, S.V.
JF - Bulletin of Mathematical Sciences and Applications
VL - 8
SP - 30
EP - 48
SN - 2278-9634
PY - 2014
PB - SciPress Ltd
DO - 10.18052/www.scipress.com/BMSA.8.30
UR - https://localhost:44305/BMSA.8.30
KW - Complex-Organized Reservoir
KW - Palaeo-Genesis Deformations
KW - Reservoir Simulation
KW - Segmental
KW - Smart Field Development
KW - Well
AB - Within the framework of block self-organizing of geological bodies with use of deformation theory the mathematical solution of a problem for effective final speed is proposed. The analytical and numerical integrated solutions of Navier-Stokes equation for deformable porous space were obtained. The decisions of multi-scaled regional problems «on a flow basis» were also presented: from lithology of rock space - to a well and from a well - to petro-physics. The evolutionary transformation of the linear solution of the equation on mass conservation up to the energetically stable non-linear solution of the equation on preserving the number of movements is also offered. Basing upon the analytical solution of Navier-Stokes equation and model of A.N. Kolmogorov we have obtained the energy model of turbulence pulsing controlled chaos, conjugated with risk stability of average well inflow and cluster structure of Earth defluidization.
ER -