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.