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  1. Proceedings of the Steklov Institute of Mathematics
  2. Proceedings of the Steklov Institute of Mathematics : Volume 280
  3. Proceedings of the Steklov Institute of Mathematics : Volume 280, Issue 1, Supplement,April 2013
  4. Modeling the dynamics of block-and-fault systems and seismicity
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Proceedings of the Steklov Institute of Mathematics : Volume 296
Proceedings of the Steklov Institute of Mathematics : Volume 295
Proceedings of the Steklov Institute of Mathematics : Volume 294
Proceedings of the Steklov Institute of Mathematics : Volume 293
Proceedings of the Steklov Institute of Mathematics : Volume 292
Proceedings of the Steklov Institute of Mathematics : Volume 291
Proceedings of the Steklov Institute of Mathematics : Volume 290
Proceedings of the Steklov Institute of Mathematics : Volume 289
Proceedings of the Steklov Institute of Mathematics : Volume 288
Proceedings of the Steklov Institute of Mathematics : Volume 287
Proceedings of the Steklov Institute of Mathematics : Volume 286
Proceedings of the Steklov Institute of Mathematics : Volume 285
Proceedings of the Steklov Institute of Mathematics : Volume 284
Proceedings of the Steklov Institute of Mathematics : Volume 283
Proceedings of the Steklov Institute of Mathematics : Volume 282
Proceedings of the Steklov Institute of Mathematics : Volume 281
Proceedings of the Steklov Institute of Mathematics : Volume 280
Proceedings of the Steklov Institute of Mathematics : Volume 280, Issue 2, Supplement,April 2013
Proceedings of the Steklov Institute of Mathematics : Volume 280, Issue 1, Supplement,April 2013
On the 70th birthday of Vladimir Vasil’evich Vasin
On the localization of discontinuities of the first kind for a function of bounded variation
Polynomial Volterra integral equations of the first kind and the Lambert function
One-sided approximation in L of the characteristic function of an interval by trigonometric polynomials
On a complete discretization scheme for an ill-posed Cauchy problem in a Banach space
On a reconstruction algorithm for the trajectory and control in a delay system
Inverse problem for a hyperbolic equation with nonlocal boundary condition containing a delay argument
On the convergence of the Lavrent’ev method for an integral equation of the first kind with involution
Reconstruction of boundary controls in parabolic systems
Higher-order total variations for functions of several variables and their application in the theory of ill-posed problems
The generalized well-posedness of the Cauchy problem for an abstract stochastic equation with multiplicative noise
A two-dimensional inverse problem for an integro-differential equation of electrodynamics
Modeling the dynamics of block-and-fault systems and seismicity
The Levenberg-Marquardt method and its modified versions for solving nonlinear equations with application to the inverse gravimetry problem
Proceedings of the Steklov Institute of Mathematics : Volume 280, Issue 1, April 2013
Proceedings of the Steklov Institute of Mathematics : Volume 279
Proceedings of the Steklov Institute of Mathematics : Volume 278
Proceedings of the Steklov Institute of Mathematics : Volume 277
Proceedings of the Steklov Institute of Mathematics : Volume 276
Proceedings of the Steklov Institute of Mathematics : Volume 275
Proceedings of the Steklov Institute of Mathematics : Volume 274
Proceedings of the Steklov Institute of Mathematics : Volume 273
Proceedings of the Steklov Institute of Mathematics : Volume 272
Proceedings of the Steklov Institute of Mathematics : Volume 271
Proceedings of the Steklov Institute of Mathematics : Volume 270
Proceedings of the Steklov Institute of Mathematics : Volume 269
Proceedings of the Steklov Institute of Mathematics : Volume 268
Proceedings of the Steklov Institute of Mathematics : Volume 267
Proceedings of the Steklov Institute of Mathematics : Volume 266
Proceedings of the Steklov Institute of Mathematics : Volume 265
Proceedings of the Steklov Institute of Mathematics : Volume 264
Proceedings of the Steklov Institute of Mathematics : Volume 263
Proceedings of the Steklov Institute of Mathematics : Volume 262
Proceedings of the Steklov Institute of Mathematics : Volume 261
Proceedings of the Steklov Institute of Mathematics : Volume 260
Proceedings of the Steklov Institute of Mathematics : Volume 259
Proceedings of the Steklov Institute of Mathematics : Volume 258
Proceedings of the Steklov Institute of Mathematics : Volume 257
Proceedings of the Steklov Institute of Mathematics : Volume 256
Proceedings of the Steklov Institute of Mathematics : Volume 255
Proceedings of the Steklov Institute of Mathematics : Volume 254
Proceedings of the Steklov Institute of Mathematics : Volume 253
Proceedings of the Steklov Institute of Mathematics : Volume 252

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Modeling the dynamics of block-and-fault systems and seismicity

Content Provider Springer Nature Link
Author Soloviev, A. A.
Copyright Year 2013
Abstract A model of block-and-fault system dynamics (a block model) has been developed to analyze how the basic features of seismicity depend on the lithosphere structure in a region under consideration and on the peculiarities of the lithosphere dynamics. The lithosphere in the region is modeled by a system of perfectly rigid blocks divided by infinitely thin fault planes. The viscoelastic interaction between the blocks and with the underlying medium is specified. Displacements and rotations of the blocks at each time are determined so that the whole block system is in a quasi-static equilibrium state. When the ratio of the stress to the pressure exceeds the critical level in some part of a fault zone, a stress drop occurs that is considered in the model as an earthquake. The paper contains a review of results obtained by numerical simulation of the dynamics of different block structures including the structures approximating the lithosphere structure in specific seismic regions. These results suggest that the block model is a useful tool for studying the influence of geometry of faults and motions of blocks on seismicity features.
Starting Page 158
Ending Page 173
Page Count 16
File Format PDF
ISSN 00815438
Journal Proceedings of the Steklov Institute of Mathematics
Volume Number 280
Issue Number 1
e-ISSN 15318605
Language English
Publisher SP MAIK Nauka/Interperiodica
Publisher Date 2013-04-06
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword block structure dynamics seismicity numerical simulation lithosphere structure Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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