A Bayesian Approach for Combining Thermal and Hydraulic Data

  1. David W. Hyndman,
  2. Frederick D. Day-Lewis and
  3. Kamini Singha
  1. Allan D. Woodbury

Published Online: 18 MAR 2013

DOI: 10.1002/9781118666463.ch7

Subsurface Hydrology: Data Integration for Properties and Processes

Subsurface Hydrology: Data Integration for Properties and Processes

How to Cite

Woodbury, A. D. (2007) A Bayesian Approach for Combining Thermal and Hydraulic Data, in Subsurface Hydrology: Data Integration for Properties and Processes (eds D. W. Hyndman, F. D. Day-Lewis and K. Singha), American Geophysical Union, Washington, D. C.. doi: 10.1002/9781118666463.ch7

Author Information

  1. Department of Civil Engineering, University of Manitoba Winnipeg, Manitoba Canada

Publication History

  1. Published Online: 18 MAR 2013
  2. Published Print: 1 JAN 2007

ISBN Information

Print ISBN: 9780875904375

Online ISBN: 9781118666463

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Keywords:

  • Groundwater flow—Mathematical models

Summary

This chapter contains sections titled:

  • Introduction

  • Background: Governing Equations

  • Groundwater and Heat : The Inverse Problem

  • Bayesian Solution to Inverse Problems

  • Likelihood Function for Hydraulic Heads and Temperatures

  • The Linear Inverse and Application to Interpolation

  • Empirical Bayes and Hyper parameter Estimation by ABIC

  • Hierarchical Bayesian Approach to Linear Inversion

  • Steady-State Groundwater and Thermal Inversion

  • Simultaneous Groundwater and Thermal Inversion

  • Example Applications

  • Discussion and Conclusions