Integration of well hydraulics formulae considering several conditions of pumping test and/or hydraulic boundaries

Abstract

Formulae of well hydraulics considering conditions of pumping tests and/or hydraulic boundaries are integrated. The numerical inversion of Laplace transformation is used in order to avoid introducing highly complicated mathematical techniques. Moreover, the classified factors of pumping tests and aquifer conditions can be combined when the formulae are used. The factors are Pumping Style and Well, Influence Radius and Leakage from an adjacent layer. In the first category, Pumping Style and Well, its factors are of constant discharge rate in a pumping well with infinitesimal and finite radius, and constant drawdown in a pumping well with finite radius. In the second category, Influence Radius, its factors are of finite and infinite radius, and constant head and impermeable boundaries on the radius. In the third category, Leakage from an adjacent layer, its factors are of non leakage, non-storage and storage leakage. The calculated variables with the formulae can be selected among drawdown, hydraulic gradient, and also time-derivative of them at an arbitrary observation point. Consequently, there are two main advantages over the integration. One is that the variables for which any model has not been developed can be estimated. The other is that its effortless calculation is handy and useful for automatic analysis of test data.