Two-Dimensional Far Field Source Locating Method with Nonprior Velocity

Qing Chen, Xiaowen Liu, Juanjuan Li, Manyi Wang and Peng Liu

Mathematical Problems in Engineering, 2016, vol. 2016, 1-14

Abstract:

Relative position of seismic source and sensors has great influence on locating accuracy, particularly in far field conditions, and the accuracy will decrease seriously due to limited calculation precision and prior velocity error. In order to improve the locating accuracy of far field sources by isometric placed sensors in a straight line, a new locating method with nonprior velocity is proposed. After exhaustive research, this paper states that the hyperbola which is used for locating will be very close to its asymptote when seismic source locates in far field of sensors; therefore, the locating problem with prior velocity is equivalent to solving linear equations and the problem with nonprior velocity is equivalent to a nonlinear optimization problem with respect to the unknown velocity. And then, this paper proposed a new locating method based on a one-variable objective function with respect to the unknown velocity. Numerical experiments show that the proposed method has faster convergence speed, higher accuracy, and better stability.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:8540303

DOI: 10.1155/2016/8540303

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