岩溶介质频率域复介电常数与探地雷达信号衰减特性

    Complex permittivity of karst medium in frequency domain and attenuation characteristics of ground penetrating radar signal

    • 摘要: 掌握探地雷达(GPR)电磁波在岩溶介质中频散衰减特性,是利用属性参数识别岩溶不良地质体的基础。通过矢量网络分析仪测试广西地区典型岩溶介质频率域复介电常数,利用二阶Debye模型拟合求解频散参数,基于时域有限差分法实现探地雷达电磁波频散衰减特性模拟,结合物理模型试验验证模拟方法可靠性。结果表明:饱和状态泥灰岩的复介电常数实部和虚部均高于灰岩与白云岩,其随频率下降幅度也最大;黏土充填物的复介电常数与母岩岩性、含水量、岩溶水矿化度等因素相关,介电常数实部和虚部均随含水率升高而增大,但矿化度对虚部的影响更为突出;电磁波振幅随着黏土充填物含水率和矿化度的增加而降低,峰值频率随含水率变化不显著,但随矿化度增大而减小。衰减系数和品质因子能够有效表征电磁波振幅和峰值频率衰减机制。工程案例结果表明,正演模拟获得的探地雷达信号衰减特性与实测数据结果一致,研究成果可为基于属性分析的岩溶不良地质体识别提供理论依据。

       

      Abstract: Mastering the dispersion and attenuation characteristics of ground-penetrating radar (GPR) electromagnetic waves in karst media is fundamental for identifying unfavorable karst geological bodies using attribute parameters. In this study, the frequency-domain complex permittivity of typical karst media in Guangxi was tested using a vector network analyzer. The dispersion parameters were fitted and solved through a second-order Debye model, and the dispersion-attenuation behavior of GPR waves was simulated via the finite-difference time-domain (FDTD) method. The reliability of the simulation was validated through physical model tests. Results demonstrate that the real and imaginary parts of the complex permittivity of saturated marl were higher than those of limestone and dolomite, with the most significant decline observed as frequency increased. The complex permittivity of clay fillings correlated with parent rock lithology, moisture content, and karst water mineralization. Both real and imaginary part increased with rising moisture content, while mineralization exerted a more pronounced influence on the imaginary part. GPR wave amplitudes decreased with higher moisture content and mineralization in clay fillings, while peak frequencies showed negligible variation with moisture content but decreased with elevated mineralization. Attenuation coefficients and quality factors effectively characterized the amplitude and peak frequency attenuation mechanisms. Engineering case studies confirmed consistency between forward-modeled GPR signal attenuation characteristics and field measurements. This research provides a theoretical foundation for identifying unfavorable karst geological bodies based on attribute analysis./t/n.Keywords: ground penetrating radar; complex dielectric constant; karst; forward simulation; dispersion attenuation.

       

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