Vershinin et al 2021a - Revision history

Scipediacontent at 18:43, 11 March 2021

2021-03-11T18:43:14Z

Scipediacontent: Scipediacontent moved page Draft Content 371784339 to Vershinin et al 2021a

2021-03-11T15:59:16Z

Scipediacontent moved page Draft Content 371784339 to Vershinin et al 2021a

Scipediacontent: Created page with "== Abstract == The paper considers an overview of the problems of mathematical modeling of geomechanical processes occurring in rocks during the geological exploration and de..."

2021-03-11T15:59:14Z

Created page with "== Abstract == The paper considers an overview of the problems of mathematical modeling of geomechanical processes occurring in rocks during the geological exploration and de..."

New page

== Abstract ==

The paper considers an overview of the problems of mathematical modeling of geomechanical processes occurring in rocks during the geological exploration and development of reservoirs and well boring process. The mathematical formulation is based on the theory of repeated superposition of large deformations. A numerical discretization of the posed boundary problems of interacting solids is performed using a discontinuous spectral element method and multi-point constraints at non-matching mesh interfaces between interacting solid rock structures. Several industrial applications of the developed approach are considered. Seismic wave propagation in the heterogeneous media with initial geomechanical stresses is considered. A modelling of an induced anisotropy is performed by the superposition of dynamic deformations onto initial generally finite strains. Use of variable order spectral elements at non-conformal meshes allows one to simplify the process of unstructured mesh generation for the discretization of complex geological models and to set the local spatial order of the SEM discretization depending on the speed of seismic waves in geological structures, which Anatoly Vershinin, Dmitry Konovalov, Alexey Kukushkin and Vladimir Levin

== Full document ==
<pdf>Media:Draft_Content_371784339p1753.pdf</pdf>

@@ Line 1: / Line 1: @@
 == Abstract ==
-The paper considers an overview of the problems of mathematical modeling of geomechanical processes occurring in rocks during the geological exploration and development of reservoirs and well boring process. The mathematical formulation is based on the theory of repeated superposition of large deformations. A numerical discretization of the posed boundary problems of interacting solids is performed using a discontinuous spectral element method and multi-point constraints at non-matching mesh interfaces between interacting solid rock structures. Several industrial applications of the developed approach are considered. Seismic wave propagation in the heterogeneous media with initial geomechanical stresses is considered. A modelling of an induced anisotropy is performed by the superposition of dynamic deformations onto initial generally finite strains. Use of variable order spectral elements at non-conformal meshes allows one to simplify the process of unstructured mesh generation for the discretization of complex geological models and to set the local spatial order of the SEM discretization depending on the speed of seismic waves in geological structures, which Anatoly Vershinin, Dmitry Konovalov, Alexey Kukushkin and Vladimir Levin
+The paper considers an overview of the problems of mathematical modeling of geomechanical processes occurring in rocks during the geological exploration and development of reservoirs and well boring process. The mathematical formulation is based on the theory of repeated superposition of large deformations. A numerical discretization of the posed boundary problems of interacting solids is performed using a discontinuous spectral element method and multi-point constraints at non-matching mesh interfaces between interacting solid rock structures. Several industrial applications of the developed approach are considered. Seismic wave propagation in the heterogeneous media with initial geomechanical stresses is considered. A modelling of an induced anisotropy is performed by the superposition of dynamic deformations onto initial generally finite strains. Use of variable order spectral elements at non-conformal meshes allows one to simplify the process of unstructured mesh generation for the discretization of complex geological models and to set the local spatial order of the SEM discretization depending on the speed of seismic waves in geological structures, which significantly reduces the computational costs when conducting numerical modeling and lowers the requirements to the model preprocessing and mesh quality.
 == Full document ==
 <pdf>Media:Draft_Content_371784339p1753.pdf</pdf>

← Older revision	Revision as of 15:59, 11 March 2021
(No difference)