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A stochastic model of water-table elevation

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Abstract:

A second order stochastic differential equation is used for modeling of water-table elevation. The data were sampled at the Borden Aquifer as a part of a tracer experiment. The purpose of the water-table data collection was to determine presence of a water flow. We argue that the water-table surface is a simple plane oscillating up and down in time according to an equation for a stochastic oscillator. We derive the model, estimate its parameters and provide arguments for goodness-of-fit of the model.

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Authors and Affiliations

  1. Department of Statistics and Actuarial Science, University of Waterloo, Waterloo N2L 3G1, Ontario, Canada, e-mail: jmmohapl@jeeves.uwaterloo.ca., , , , , , CA

    J. Mohapl

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  1. J. Mohapl
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Mohapl, J. A stochastic model of water-table elevation. Stochastic Hydrology and Hydraulics 12, 223–245 (1998). https://doi.org/10.1007/s004770050019

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  • DOI: https://doi.org/10.1007/s004770050019

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