铬污染场地复电阻率法时频域联合探测技术研究
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摘要
深入研究了基于复电阻率法的铬污染场地探测问题。在铬污染土壤复电阻率大量实验研究的基础上，得出了其复电阻率频谱和时谱符合Cole-Cole模型的结论。在深入分析Cole-Cole模型的频谱和时谱特性及时频域测量的等价性的基础上，提出了复电阻率法时频域联合探测的的技术。基于贝叶斯反演算法，提出了时频域数据联合反演Cole-Cole复电阻率模型参数的反演方法，克服了反演中的不确定性。基于阿尔奇经验公式和电化学相关理论，得出了直流电阻率和土壤物性参数间的关系；基于双电层理论和泊松方程，得出了Cole-Cole模型参数和土壤物性参数间的关系。对于具体的铬污染场地的土壤，采用最小二乘法反演拟合了Cole-Cole模型参数和土壤物性参数间的关系式中的参数，并通过牛顿迭代法获得铬污染土壤的铬含量及含水率等物性参数。建立铬污染模拟场地，并对测量的数据进行反演和解释。结果显示，采用本文提出的时频域联合探测的复电阻率法，可以很好地对铬污染场地中的铬含量和含水率分布进行分区，填补了国内在此领域的空白，解决了铬污染场地快速探测的迫切需求。
This paper mainly focused on the detection of chromium-contaminated sites based on complexresistivity method. According to the large number of experiments of chromium-contaminated soilcomplex resistivity, we made a conclusion that complex resistivity spectrum fits for the Cole-Colemodel. On the basis of in-depth analysis on characteristics of the Cole-Cole model complexresistivity spectrum and the equivalent of measurements in frequency and time domain, a newdetection technology jointed frequency and time domain for complex resistivity method wasproposed which overcomes the uncertainty in the inversion. Based on Bayesian inversion algorithm,a inversion method jointed frequency and domain data for Cole-Cole complex resistivity modelparameters was proposed. Based on the Archie’s empirical formula and electrochemical theory, theexpression relationship between the DC resistivity and soil physical parameters was obtained.According to the Poisson’s equation and the theory of the double-electric layer, the expressionrelationship between the Cole-Cole model parameters and soil physical parameters was gotten. Fora specific soil chromium-contaminated site, the coefficient of the expression relating the Cole-Colemodel parameters and soil physical parameters was fitted by the method of least squares inversion,and the chromium content and moisture content of chromium-contaminated soil were obtained byNewton's iterative method.A simulated chromium-pollution site was established, and themeasurement data were inversed and interpreted. The results show that the complex resistivitymethod jointed time and frequency domain can zone the distribution of chromium content andmoisture content in chromium-contaminated sites commendably. It filled the domestic blank in thisfield and met the urgent demand for rapid detection of chromium-contamination sites.
This paper mainly focused on the detection of chromium-contaminated sites based on complexresistivity method. According to the large number of experiments of chromium-contaminated soilcomplex resistivity, we made a conclusion that complex resistivity spectrum fits for the Cole-Colemodel. On the basis of in-depth analysis on characteristics of the Cole-Cole model complexresistivity spectrum and the equivalent of measurements in frequency and time domain, a newdetection technology jointed frequency and time domain for complex resistivity method wasproposed which overcomes the uncertainty in the inversion. Based on Bayesian inversion algorithm,a inversion method jointed frequency and domain data for Cole-Cole complex resistivity modelparameters was proposed. Based on the Archie’s empirical formula and electrochemical theory, theexpression relationship between the DC resistivity and soil physical parameters was obtained.According to the Poisson’s equation and the theory of the double-electric layer, the expressionrelationship between the Cole-Cole model parameters and soil physical parameters was gotten. Fora specific soil chromium-contaminated site, the coefficient of the expression relating the Cole-Colemodel parameters and soil physical parameters was fitted by the method of least squares inversion,and the chromium content and moisture content of chromium-contaminated soil were obtained byNewton's iterative method.A simulated chromium-pollution site was established, and themeasurement data were inversed and interpreted. The results show that the complex resistivitymethod jointed time and frequency domain can zone the distribution of chromium content andmoisture content in chromium-contaminated sites commendably. It filled the domestic blank in thisfield and met the urgent demand for rapid detection of chromium-contamination sites.
引文
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