000019642 001__ 19642
000019642 005__ 20170118182330.0
000019642 04107 $$aeng
000019642 046__ $$k2017-01-09
000019642 100__ $$aYamada, Masayuki
000019642 24500 $$aA Ground Motion Simulation Coupled With An Eikonal Solver and Its Application With a Formula Using Isochrones Jumping Intensity

000019642 24630 $$n16.$$pProceedings of the 16th World Conference on Earthquake Engineering
000019642 260__ $$b
000019642 506__ $$arestricted
000019642 520__ $$2eng$$aWe describe three achievements for a ground motion simulation. First, we propose a kinematic modeling in which rupture delay time is governed by an eikonal equation on Riemannian manifold and develop a coupling method between the eikonal solver and a ground motion simulation. In general the rupture delay time is depending on the fault shape. So we derive the equation by considering the Riemannian metric of the fault surface and give a detailed discretization of its difference scheme to deal with a curved surface fault. Next, in order to explain the effect of spatially discontinuous non-uniformity of rupture velocity, we introduce an isochrones jumping intensity and obtain a new decomposed isochrones formula with mathematical rigor. It is known that the representation theorem with the Green’s function can be rewritten into an expression with a contour integral by the isochrones theory. The new formula says that the known isochrones formula for velocity can be decomposed into a trend component and a disturbance component. The disturbance component consists of the isochrones jumping intensity. Finally, by applying our ground motion simulation coupled with the eikonal solver and the decomposed isochrones formula, we investigate some relations between the non-uniformity of the rupture velocity and pulse-like disturbance of the ground motion velocity. Our simulations show that the disturbance of velocity waveform corresponds with that of rate of change of isochrones band area. It turns out that the pulse-like disturbance of velocity waveform occurs when isochrones move across the region where rupture velocity varies discontinuously. Thus we can explain that the pulse-like disturbance of the ground motion velocity occurs when the isochrones jumping intensity has nonzero value. We, however, think that further discussion with respect to the decision of rupture velocity is required. So we would like to study the dynamic rupture model in order to understand how to give the spatial distribution of rupture velocity in future works.

000019642 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000019642 653__ $$aground motion simulation, eikonal solver on Riemannian manifold, isochrones jumping intensity

000019642 7112_ $$a16th World Conference on Earthquake Engineering$$cSantiago (CL)$$d2017-01-09 / 2017-01-13$$gWCEE16
000019642 720__ $$aYamada, Masayuki$$iHada, Koji$$iFujiwara, Hiroyuki$$iImai, Ryuta
000019642 8560_ $$ffischerc@itam.cas.cz
000019642 8564_ $$s655347$$uhttps://invenio.itam.cas.cz/record/19642/files/408.pdf$$yOriginal version of the author's contribution as presented on USB, paper 408.
000019642 962__ $$r16048
000019642 980__ $$aPAPER