GEOL(WASR) 8740: Hydrologic Modeling

Course Summary

  • Solutions of surface and subsurface flow and transport problems commonly found in the environmental field.
  • Modeling strategies include analogs, percolation models, statistical models, as well as mathematical process-oriented models that can be solved analytically or numerically.

Course Instructors

Course Readings

Course Time and Location

  • Tuesday, 2:00 - 4:45 pm
  • GGY Building (somewhere...)


  • 25% Weekly Assignments
  • 25% Midterm Project (due Week 8)
  • 25% Final Project (due Week 15)
  • 25% Class Participation

Academic Honesty and Plagiarism

  • All academic work must meet the standards contained in the University's academic honesty policy (see A Culture of Honesty).
  • All students are responsible for informing themselves about those standards before performing any academic work.
  • The penalties for academic dishonesty are severe (see Sanctions for Dishonesty), and ignorance is not an acceptable defense.

Course Syllabus

  1. Introduction
    • What is a model?
    • Modeling in environmental management
    • The modeling process
  2. Analog models
    • Scale models
    • Process analogs
  3. Network models
    • Nodes and bonds
    • Entities and relationships
  4. Statistical models
    • Basics
    • Linear regression (ordinary least squares)
    • Time series analysis
    • Correlation analysis
  5. Mathematical models
    • Basics
    • Equilibrium models (e.g., fugacity)
    • ODEs: First-order rate reactions
    • PDEs: Advection and streamlines
    • PDEs: Diffusion and dispersion
  6. Model requirements
    • Geometry
    • Material properties
    • Initial and boundary conditions
  7. Solving differential equations
    • Analytic solvers (Laplace transform)
    • Finite difference equation
    • Finite element equation
  8. Integral formulation
    • Cauchy's integral theorem
    • Boundary element method
    • Analytic element method