Abstract
In this paper the statistical properties of diffusivity are worked out from certain assumed statistical information on data. Use is made of an explicit solution described by the writers for diffusivity in a stream-aquifer system with an overspecified boundary condition. It is assumed that both the river stage hydrograph and the hydraulic gradient contain independent Gaussian noise. It is then determined that the diffusivity is the ratio of the square of two independent normal random variables. The dependence of mean value and standard deviation of diffusivity on various levels of errors in boundary data is computed and plotted. It is found that while the expected value of diffusivity does not vary much, the standard deviation increases at a fast rate as the errors in data increase. It is possible to find limits on errors in data for obtaining diffusivity estimates of certain reliability.
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