基于螺旋线三棱锥阵的三维匹配定位算法

A three-dimensional matching localization algorithm based on helix triangular pyramid array

在滑坡泥石流等地质灾害发生前夕,灾害体内的岩石土块发生爆裂、摩擦和断裂等破坏会产生次声波信号,利用次声信号进行三维超前定位是地质灾害防治技术研究前沿。本文在柱坐标下将波动方程通过傅里叶变换和汉克尔变换,建立了三维轴对称的简正波地质声场模型;由于螺旋线三棱锥阵列的阵元具有垂直和水平采样能力,设计了4元螺旋线三棱锥阵置于声场中接收次声信号,提出地质灾害次声信号的简正波模型三维匹配定位方法。将该方法应用于岩土层中的次声信号定位分析,采用4元螺旋线三棱锥阵和与其他传统阵列进行定位应用对比,发现螺旋线三棱锥阵能够以较少数目阵元达到深度和距离的精确估计,且可能克服方位对称模糊性。基于螺旋线三棱锥阵的三维匹配定位方法为地质灾害防治技术研究提供了新思路。

On the eve of the occurrence of geological hazards,part of the rock and soil body begins to burst,rub,and fracture,generating infrasound signals propagating outward.3D advanced positioning of the landslide has remained unsolved,which is important for disaster prevention.Through the Fourier transform and Hankel transform of the wave equation in cylindrical coordinates,this work established a three-dimensional axisymmetric sound field model based on normal waves,and designed a 4-element helix triangular pyramid array with vertical and horizontal sampling capabilities.Based on this,the three-dimensional matching localization algorithm of infrasound for geological hazards is proposed.Applying the algorithm to the infrasound signal localization of rock and soil layers,it was found that the helix triangular pyramid array can achieve accurate estimation of depth and distance with a smaller number of array elements than the traditional array,and may overcome the azimuth symmetry ambiguity.This study shows the application prospects of this method for predicting geohazards position several hours in advance.