A phase model of earthquake motions based on stochastic differential equation

作者：Zhang Cong; Sato Tadanobu; Lu Lingyi^*

来源：KSCE Journal of Civil Engineering, 2011, 15(1): 161-166.

DOI：10.1007/s12205-011-1074-3

• phase spectrim
• group delay time
• stochastic differential equation
• simulation
• modeling

In this paper, a method is proposed to simulate Group Delay Time (GDT) of earthquake ground motion by using Stochastic Differential Equation (SDE). The random characteristic of GDT is expressed by a stochastic differential equation whose mean and variance processes are defined by ordinary differential equations. An algorithm is developed to identify the coefficients of the ordinary differential equations. Regression surfaces of the coefficients are developed as functions of earthquake magnitude, epicentral distance and frequency. The Milstein approximation scheme is used to solve the stochastic differential equation of GDT. The efficiency of the developed method is demonstrated by comparing the simulated result with the original one.

• 出版日期2011-1
• 单位东南大学