Y. Z. BAI, X. W. XU

Open Access JAMP

0.65 m/s. Figure 3 is the velocity of ground motion

component parallel to the strike direction. Because the

Tangshan earthquake is a special strike event, the ground

motion parallel to strike is the mainly character of ground

motion. The maximum of ground motion parallel to

strike direction is 0.9 m/s and is larger than that of com-

ponent vertical to strike direction and ground surface.

Figure 4 is the velocity of ground motion component

vertical to the ground surface. The maximum of ground

motion vertical the ground surface is 0.85 m/s and larg er

than that of component vertical to strike direction. Com-

paring the maximum of our computational result with

other scholar’s computation, we find our computational

result is very near to theirs, which shows our achieve-

ment is reasonable.

Comparing the above three computational result fig-

ures, when the earthquake happens due to the strike slip

movement of strike fault, the main motion of ground

surface is parallel to the fault strike direction and vertical

to the ground surface. And these two kind motions have

the high frequency vibration at the same time, which can

be seen from the Figures 3 and 4. Since the computa-

tional spot is 4 km to the Tangshan fault, the three

ground motion component almost begin at the 1 - 2

second. Because in earthquake, the S wave is mainly

factor to cause damage, the corresponding time of max-

imum of ground motion vertical to ground surface and

parallel to strike direction almost equals to the time of

S-wave travel to the computational spot.

5. Acknowledgements

This work is supported by the China Earthquake Admin-

istration through “Earthquake Backbone Technology

Professionals Foundations” and “Discern and evaluation

of earthquake risk zone (2012BAK15B01)”. Thank Shuo

Ma for his providing the computation code to calculate.

REFERENCES

[1] J. Lysmer and L. A. Drake, “A Finite E le ment M ethod for

Seismology,” In: B. Alder, S. Fernbach and B. A. Bolt,

Eds., Methods in Computational Physics, Vol. 11, Acade-

mic Press, New York, 1972.

[2] V. Pereyra, E. Richardson and S. E. Zarantonello, “Large

Scale Calculations of 3D Elastic Wave Propagation in a

Complex Geology,” Proceedings Supercomputing, 1992,

pp. 301-309.

[3] E. Kim, J. Bielak and O. Ghattas, “Large-scale North-

Ridge Earthquake Simulation Using Octree-Based Multi-

reslution Mesh Method,” Proceedings of the 16th ASCE

Engineering Mechanics Conference, Seattle, July 2003.

[4] S. M. Day, “Three-Dimensional Simulation of Spontane-

ous Rupture: The Effect of Nonuniform Prestress,” Bulle-

tin of t he Sei smological Society of America, Vol. 72, 1982,

pp. 1881-1902.

[5] D. D. Oglesby, R. J. Archuleta and S. B. Nielsen, “Earth-

quakes on Dipping Faults: The Effects of Broken Sym-

metry ,” Science, Vol. 280, No. 5366, 1998, pp. 1055-

1059. http://dx.doi.org/10.1126/science.280.5366.1055

[6] T. J. R. Hughes, “Finite Element Method—Linear Static

and Dynamic Finite Element Analysis,” Prentice-Hall,

Englewood Cliffs, 1987.

[7] G. L. Gourdreau and J. O. Hallquist, “Recent Develop-

ments in Large Scale Finite Elements Lagrangian Hydro-

code Technology,” Computer Methods in Applied Mecha-

nics and Engineering, Vol. 33, No. 1-3, 1982, pp. 725-

757. http://dx.doi.org/10.1016/0045-7825(82)90129-3

[8] T. Belytschko, J. S. Ong, W. K. Liu and J. M. Kennedy,

“Hourglass Control in Linear and Nonlinear Problems,”

Computer Methods in Applied Mechanics and Engineer-

ing, Vol. 43, No. 3, 1984, pp. 251-276.

http://dx.doi.org/10.1016/0045-7825(84)90067-7

[9] D. Kosloff and G. A. Frazier, “Treatment of Hourglass

Patterns in Low Order Finite Element Codes,” Interna-

tional Journal for Numerical and Analytical Methods in

Geomechanics, Vol. 2, No. 1, 1978, pp. 57-72.

http://dx.doi.org/10.1002/nag.1610020105

[10] S. Ma and L. Peng, “Modeling of the Perfectly Matched

Layer Absorbing Boundaries and Intrinsic Attenuation in

Explicit Finite-Element Methods,” Bulletin of the Seis-

mological Society of America, Vol. 96, No. 5, 2006, pp.

1779-1794. http://dx.doi.org/10.1785/0120050219