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A phase model of earthquake motions based on stochastic differential equation

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KSCE Journal of Civil Engineering Aims and scope

Abstract

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.

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Authors and Affiliations

  1. School of Civil Engineering, Southeast University, Nanjing, 210096, China

    Cong Zhang

  2. Section of Disaster Management and Social Service Institute of Multi-disciplinary Education, Kobegakuin University, Kobe, 650-8586, Japan

    Tadanobu Sato

  3. International Institute for Urban Systems Engineering, Southeast University, Nanjing, 210096, China

    Lingyi Lu

Authors
  1. Cong Zhang
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  2. Tadanobu Sato
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  3. Lingyi Lu
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Correspondence to Lingyi Lu.

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Zhang, C., Sato, T. & Lu, L. A phase model of earthquake motions based on stochastic differential equation. KSCE J Civ Eng 15, 161–166 (2011). https://doi.org/10.1007/s12205-011-1074-3

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  • DOI: https://doi.org/10.1007/s12205-011-1074-3

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