一种土壤电导率测量方法的数学建模与实验研究

针对一种土壤电导率的测量方法——“电流—电压四端法”，从理论上深入探讨了该方法的测量原理，建立了对应的数学模型。关于Wenner分布、Schlumberger分布和 Polar dipole分布3种测量组态计算公式的正确性也通过实验进行了检验。

A Mathematical Model and Its Experimental Study for a Kind of Measurement Method of Soil Electric Conductivity

The measurement of soil electrical conductivity has been increasingly gaining attentions because precision farming technologies rely on accurate field maps of the soil characteristics that affect field. In this paper, a mathematical model for four-electrode measurement method was developed. The discussion concerned with the model consists of three steps. At first, the behavior of single current electrode at a depth of field was treated. Secondly, a combination of two current electrodes at a depth of field was analyzed and some formulas used for different configurations of electrodes were developed. At last, a lemma associated with this model was proven. In addition, some experiment results and a general conclusion referring to this study were presented.