Iterative use of the Bruggeman-Hanai-Sen mixing model to determine water saturations in sand
Iterative use of the Bruggeman-Hanai-Sen mixing model to determine water saturations in sand
复制标题
迭代使用 Bruggeman-Hanai-Sen 混合模型来确定沙子中的水饱和度
DOI：
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发表时间：
2005
期刊：
影响因子：
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通讯作者：
E. Poeter
中科院分区：
文献类型：
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作者：
Raymond H. Johnson;E. Poeter
Bruggeman-Hanai-Sen（BHS）混合模型的准确性已经在BHS模型开发过程中针对两种材料的混合物进行了证明。使用从建模探地雷达（GPR）数据确定的渗透性，BHS模型已迭代地应用于水，砂，和一个致密的，非水相液体（DNAPL）的三种材料的混合物。然而，这一应用的准确性尚未得到验证。一个由网络分析仪驱动的10厘米空气线系统被用来测量当沙子中的水饱和度变化时（频率范围为20至200 MHz）的体积电导率。通过迭代使用BHS混合模型，测量的渗透率用于计算水饱和度，并与已知的饱和度值进行比较。空气/水/沙系统的迭代BHS混合模型必须考虑哪种双材料端元（空气/沙或水/沙）代表原始双材料BHS模型中的矩阵项。空气/砂矩阵提供了最好的精度为低含水饱和度，和水/砂矩阵提供了最好的精度为高含水饱和度，因此，开发了一种新的加权模型。对于给定的孔隙度和测量的体积介电常数，通过对在BHS模型中使用空气/砂作为基质和水/砂作为基质确定的水饱和度值进行比例加权，可以最准确地确定水饱和度。
The accuracy of the Bruggeman-Hanai-Sen (BHS) mixing model has been previously demonstrated for two-material mixtures during BHS model development. Using permittivities determined from modeling ground-penetrating radar (GPR) data, the BHS model has been iteratively applied to three-material mixtures of water, sand, and a dense, nonaqueous-phase liquid (DNAPL). However, the accuracy of this application has not been verified. A 10-cm air-line system driven by a network analyzer is used to measure bulk permittivitities when the water saturations in a sand are varied (frequency range of 20 to 200 MHz). Through iterative use of the BHS mixing model, the measured permittivities are used to calculate water saturations, which are compared to known saturation values. An iterative BHS mixing model for an air/water/sand system must consider which two-material end member (air/sand or water/sand) represents the matrix term in the original two-material BHS model. An air/sand matrix provides the best accuracy for low water saturations, and a water/sand matrix provides the best accuracy for high water saturations; thus, a new weighted model is developed. For a given porosity and a measured bulk permittivity, water saturation is most accurately determined by proportionally weighting the water saturation values determined using air/sand as the matrix and water/sand as the matrix in the BHS model.