Improved evaluation procedure for heat-pulse soil water flux density method
- G.J. Kluitenberg *a and
- A.W. Warrickb
Analytical solutions of the heat equation must be evaluated in order to implement the heat-pulse method for measuring soil water flux density. We developed an improved procedure for evaluating the integrals in these solutions by recognizing that they can be reduced to a single function, W, known as the well function for leaky aquifers The evaluation procedure was improved further by developing an efficient method to approximate W This method, which involves summing the first few terms of an infinite series, also provides a simple means of determining the approximation error. For a wide range of input parameters, at most two terms of the series are needed to approximate W with error less than 10−4 in absolute value. Thus, numerical integration is not required in order to implement the heat-pulse method for measuring soil water flux density. Our results regarding the evaluation of W are relevant to other problems in soil science and groundwater hydrology in which the function W appears.Please view the pdf by using the Full Text (PDF) link under 'View' to the left.
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