Comparison of analytical and numerical solution of Theis well function

Código

XXV-SBRH0380

Autores

Jorge Henrique Alves Prodanoff, WEBE JOÃO MANSUR

Tema

STE15 - Hidrologia Subterrânea: Modelagem, Monitoramento, Contaminação, Remediação e Avaliação de Risco (Groundwater Hydrology: Modeling, Monitoring, Contamination, Remediation and Risk Analysis)

Resumo

This paper presents a comparative study of analytical and numerical integration methods for the evaluation of the exponential integral function E1 also known as the Theis well function W for confined aquifers. A new efficient smoothing procedure is proposed, obtained by singularity subtraction, for numerical integration of a nearly singular case. The computational efficiency of this procedure for selected relative accuracy is compared with that of other approximation or exact methods. Some relevant computational issues for the Gauss quadrature methods are discussed.