Fourier Transform Shortcut Solution to 1D Transient Phreat-ic Flow Model Near River and Canal
During the process of solving a one-dimensional model for simulating transient phreatic flow near canals using the Fourier transform,the integration transformation can become complex and cum-bersome,especially when handling boundary functions f(t)that vary with time.This study established a general theoretical solution applicable to this type of model,considering vertical water exchange,us-ing an in-house methodological principle of establishing fundamental solutions based on Fourier trans-form properties.Without directly calculating the transformation of f(t),analytic solution for the actual model is obtained when lead f(t)into the fundamental solution.Several common types of functions are solved using the fundamental solution.By using the solution method of fundamental solutions,most complex integration transformation operations can be avoided.Based on the observation data of groundwater table,the turning-point method and the curve-fitting method for finding aquifer parame-ter are established adapt for different combination conditions of river water level variation and vertical recharge.Examples demonstrate the calculation process of model parameters.
canal boundaryvertical water exchangetransient phreatic flowFourier transformfunda-mental solution
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