Applied Mathematics in Hydrogeology

Preface.- Conservation Equations: Heat Conduction.- Groundwater Flow.- Advective Heat Transfer.- Dispersion Equation.- Boundary and Initial Conditions.- Problems, Keys, and Suggested Readings.- Notations.- Source Functions and Convolution: Heat Sink and Source.- Convolution.- Theis Well Function.- Problems, Keys, and Suggested Readings.- Notations.- Well Functions in Confined Aquifers: Theis Well Function.- Steady-State Solution.- Full-Penetration Pumping Well.- Hantush's Leaky Aquifer.- Leakage at the Boundary.- Slug Test.- Problems, Keys, and Suggested Readings.- Notations.- Well Functions In Unconfined Aquifers: Dupuit-Forchheimer Theory.- Two Dimensional Problems.- Three Dimensional Problems.- Radial Dispersion.- Simulation by Z-Transform.- Problems, Keys, and Suggested Readings.- Notations.- Solving Elementary Matrix Operations: Eigenproblems.- x=A-1b.- Singular Value Decomposition.- Examples.- Problems, Keys, and Suggested Readings.- Bibliography.- Index.