考虑波场分离的隧道前方溶洞三维响应特征及分辨率研究

Study on the Three-dimensional Response Characteristics and Resolution of Karst Caves in Front of Tunnels Considering Wavefield Separation

  • 摘要: 针对岩溶隧道超前预报中溶洞识别难度大、分辨率界限不清等问题,基于三维弹性波理论,采用有限元数值模拟方法,系统研究地震波在复杂隧道空间的传播机理及波场分离特征。通过构建溶洞直径D与横波菲涅尔带半径R呈不同比值关系的5组三维模型(D=∞R,5R,2R,1R,0.67R),模拟理想工况到低信噪比条件下的波场响应规律;引入τ-p变换技术,对直达波、边界反射波等强干扰信号进行滤波分离,提取微弱有效反射信号。研究结果表明:溶洞反射信号强度与D/R呈显著非线性关系,当DR时,溶洞反射信号特征清晰可辨;当D减小至0.67R时,反射横波振幅衰减至同位置断层信号的15%左右,处于可识别的临界阈值;若D<0.67R,有效信号将被背景噪声淹没而无法识别。据此,提出将D=0.67R作为地震反射波法预报溶洞的理论极限尺寸。结合三义隧道工程实例进行验证,现场揭露溶洞的D/R值为0.69,其弱反射特征(振幅占比约16%)与理论模拟结果高度吻合,实现了接近极限分辨率条件下的精准超前预报。

     

    Abstract: Aiming at the problems of high difficulty in identifying karst caves and unclear resolution limits in tunnel karst advance prediction, this paper, based on three-dimensional elastic wave theory, uses finite element numerical simulation methods to systematically study the propagation mechanism of seismic waves in complex tunnel spaces and the characteristics of wavefield separation. The study constructs five three-dimensional models with different ratios of cave diameter D to transverse wave Fresnel zone radius R (D=∞R, 5R, 2R, 1R, 0.67R) and simulates wavefield response patterns from ideal working conditions to low signal-to-noise ratio conditions. The τ-p transform technique is introduced to filter and separate strong interference signals such as direct waves and boundary reflection waves, extracting weak effective reflection signals. The results show that the intensity of cave reflection signals has a significant nonlinear relationship with D/R; when DR, the characteristics of cave reflection signals are clear and distinguishable; when D decreases to 0.67R, the amplitude of reflected transverse waves is attenuated to about 15% of the fault signal at the same location, which is at the identifiable critical threshold; if D<0.67R, the effective signal will be overwhelmed by background noise and cannot be identified. Based on this, D=0.67R is proposed as the theoretical minimum size for predicting caves using seismic reflection methods. Validation with the Sanyi Tunnel engineering case shows that the on-site exposed cave has a D/R value of 0.69, and its weak reflection characteristics (amplitude ratio about 16%) are highly consistent with the theoretical simulation results, achieving accurate advance prediction under near-limit resolution conditions.

     

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