An application of parametric statistical tests to well-yield data from carbonates of central Pennsylvania |
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| Authors: | Shams H Siddiqui Richard R Parizek |
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| Institution: | Pennsylvania State University, University Park, Pa. U.S.A. |
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| Abstract: | Variation in productivity, yield in gallons per minute per foot of drawndown per foot of saturated thickness, of 80 water wells located in folded and faulted carbonate rocks and shales of Cambro-Ordovician age in central Pennsylvania, was related to six hydroecologic factors. Parametric and nonparametric statistical techniques were applied and results of One Factor Analysis of Variance and Student t-test are presented. Productivity values were transformed to common logarithms, and it was assumed that a log-normal model would reasonably describe the variation in productivity especially as the sample size was increased. These tests showed that the variations in number of fracture traces, rock type, dip of bedrock strata and topography were significant and variation in depth to water table was not significant in accounting for variation in well yield. Student t-test showed that anticlinal wells were significantly different from synclinal wells. However, wells in the same rock type but different structural settings were not significantly different. This shows that variations in rock type and number of fracture traces are more important than other structural variations. Both parametric and nonparametric tests gave identical results, which justifies the use of parametric tests which require normally distributed data. |
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