There is considerable interest in using remote elastostatic deformations to identify the evolving geometry of underground fractures that are forced to propagate by the injection of a high pressure viscous fluid. These so-called hydraulic fractures are used to increase the permeability in oil and gas reservoirs as well as to pre-fracture ore-bodies in preparation for a mining process known as bl...

The atomic structures of SrTiO 3 (STO)/LaNiO 3 (LNO)/STO heterostructure interfaces were investigated by spherical aberration-corrected (C S) (scanning) transmission electron microscopy. Atomic displacement and lattice distortion measurements and electron energy loss spectroscopy (EELS) were used to quantitatively analyze the distortion of the interfacial octahedra and the bond length at the in...

Nowadays image acquisition in materials science allows the resolution of grains at atomic scale. Grains are material regions with different lattice orientation which are frequently in addition elastically stressed. At the same time, new microscopic simulation tools allow to study the dynamics of such grain structures. Single atoms are resolved experimentally as well as in simulation results on ...

This paper provides a mathematical description of hydromechanical coupling associated with propagation localized damage. The framework incorporates an embedded discontinuity approach and addresses the assessment both hydraulic mechanical properties in region intercepted by fracture. Within this approach, internal length scale parameter is explicitly employed definition equivalent permeability a...

As a compact binary inspirals due to the emission of gravitational waves, its orbital period decreases continuously down to 1 ms, its value at coalescence. During the last part of the inspiral, the two stars are close together, and their tidal interactions become strong. Neutron stars have many normal modes (core g-modes, crustal discontinuity modes, shear modes, etc.) whose periods lie in the ...

In this paper, we propose a robust motion estimation algorithm using uncalibrated 3D motion model considering depth discontinuity. Most of the previous direct motion estimation algorithms with 3D motion model compute the depth value through the local smoothing, which result in erroneous results at depth discontinuity. In this paper, we overcome this problem at depth discontinuity by adding disc...

We consider the approximate solution of the initial value problem du du , .. . . _ = _ „(*,0) = »(*), by a dissipative Galerkin method. When v is taken to have a jump discontinuity at zero, that discontinuity will propagate along x + t = 0, in the true solution u. Estimates in L^ and Lx of the pollution effects of the discontinuity are found. These estimates show those effects to decay exponent...

In epidemiology, the regression discontinuity design has received increasing attention recently and might be an alternative to randomized controlled trials (RCTs) to evaluate treatment effects. In regression discontinuity, treatment is assigned above a certain threshold of an assignment variable for which the treatment effect is adjusted in the analysis. We performed simulations and a validatio...