Mathematical Analysis of Groundwater Flow Models

Groundwater flow and transport in complex geological formations are analyzed using mathematical models, including classical differential operators, fractional derivatives, integral operators, fractal mapping, randomness, piecewise differential, and integral operators. Several new and modified models are proposed to predict anomalous behaviors, and numerical and analytical methods are used to derive exact and numerical solutions. The book is a valuable resource for graduate and PhD students and researchers in groundwater modeling.

Format: Hardback
Length: 610 pages
Publication date: 23 March 2022
Publisher: Taylor & Francis Ltd

This comprehensive book delves into a wide range of groundwater issues, encompassing everything from flow dynamics to pollution challenges. Throughout, various scenarios are explored, including the flow within leaky, unconfined, and confined geological formations, the crossover behavior from confined to confined, and the transition from semi-confined to unconfined conditions, as well as the pollution of groundwater in dual media. To account for the complexities of these geological formations, a diverse array of mathematical concepts is employed, including classical differential operators, fractional derivatives, integral operators, fractal mapping, randomness, piecewise differential, and integral operators. These concepts are integrated into mathematical models to accurately predict anomalous behaviors of flow and pollution within intricate geological structures.

To ensure the suitability of the proposed models, numerous mathematical techniques are employed, encompassing analytical methods and numerical methods. These techniques are utilized to derive precise and numerical solutions for different groundwater models.

Mathematical Analysis of Groundwater Flow Models offers a valuable resource for advanced students, researchers, and professionals engaged in groundwater modeling. It provides a thorough exploration of the mathematical principles and methodologies employed in analyzing groundwater flow and transport, facilitating a deeper understanding of this critical environmental subject.

Weight: 1329g
Dimension: 254 x 178 (mm)
ISBN-13: 9781032209944