Estimation of statistical parameters for censored lognormal hydraulic conductivity measurements |
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| Authors: | Xian-Huan Wen |
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| Institution: | (1) Department of Water Resources Engineering, Royal Institute of Technology, Stockholm, Sweden;(2) Present address: Depto. de Ingeniería Hidráulica y Medio Ambiente, Universidad Politécnica de Valencia, 46071 Valencia, Spain |
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| Abstract: | Field tests of hydraulic conductivity (e.g., injection test, pumping test, etc.) in low permeability formations are subject to censoring due to the detection limit of the instruments used. An iterative method of estimating the mean and variance of hydraulic conductivity data with a presumed log-normal distribution function is presented. This method accounts for the data that are actually below the lower detection limit (called  truncated data) and thus gives distribution parameters that are more representative for the underlying distribution. The proposed method is then tested on two simulated normally distributed random datasets having different variances. The results show that the means and variances estimated by the proposed method are very accurate. Finally, the method is used to estimate the mean and variance of hydraulic conductivity data from single hole water injection tests in a fractured geological formation. |
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| Keywords: | detection limit truncated data hydraulic conductivity normal distribution lognormal distribution Finnsjö n site |
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