Models and ModelingPainos 1

An Introduction to Models and Modeling in the Earth and Environmental Sciences

from the basics. Using clear, physically-intuitive examples, the author systematically takes

us on a tour that begins with the simplest representations of fluid flow and builds through

the most important equations of groundwater hydrology. Along the way, we learn how

to develop a conceptual understanding of a system, how to choose boundary and initial

conditions, and how to exploit model symmetry. Other important topics covered include

non-dimensionalization, sensitivity, and finite differences. Written in an eclectic and readable

style that will win over even math-phobic students, this text lays the foundation for a

successful career in modeling and is accessible to anyone that has completed two semesters

of Calculus.

Although the popular image of a geologist or environmental scientist may be the rugged

adventurer, heading off into the wilderness with a compass and a hand level, the disciplines

of geology, hydrogeology, and environmental sciences have become increasingly quantitative.

Today’s earth science professionals routinely work with mathematical and computer models,

and career success often demands a broad range of analytical and computational skills.

students and professionals who want to learn the craft of modeling, and do more than just

run “black box” computer simulations.