Three-dimensional Stochastic Estimation of Porosity Distribution: Benefits of Using Ground-penetrating Radar Velocity Tomograms in Simulated-annealing-based or Bayesian Sequential Simulation Approaches

Abstract

Estimation of the three-dimensional (3-D) distribution of hydrologic properties and related uncertainty is a key for improved predictions of hydrologic processes in the subsurface. However it is difficult to gain high-quality and high-density hydrologic information from the subsurface. In this regard a promising strategy is to use high resolution geophysical data (that are relatively sensitive to variations of a hydrologic parameter of interest) to supplement direct hydrologic information from measurements in wells (e.g., logs, vertical profiles) and then generate stochastic simulations of the distribution of the hydrologic property conditioned on the hydrologic and geophysical data. In this study we develop and apply this strategy for a 3-D field experiment in the heterogeneous aquifer at the Boise Hydrogeophysical Research Site and we evaluate how much benefit the geophysical data provide. We run high-resolution 3-D conditional simulations of porosity with both simulated-annealing-based and Bayesian sequential approaches using information from multiple intersecting crosshole gound-penetrating radar (GPR) velocity tomograms and neutron porosity logs. The benefit of using GPR data is assessed by investigating their ability, when included in conditional simulation, to predict porosity log data withheld from the simulation. Results show that the use of crosshole GPR data can significantly improve the estimation of porosity spatial distribution and reduce associated uncertainty compared to using only well log measurements for the estimation. The amount of benefit depends primarily on the strength of the petrophysical relation between the GPR and porosity data, the variability of this relation throughout the investigated site, and lateral structural continuity at the site.

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Document Details

Document Type
Technical Report
Publication Date
May 30, 2012
Accession Number
ADA561637

Entities

People

  • B. Dafflon
  • W. Barrash

Organizations

  • Boise State University

Tags

Communities of Interest

  • Advanced Electronics
  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Annealing
  • Bayesian Networks
  • Geometry
  • Ground Penetrating Radar
  • Groundwater
  • High Density
  • High Resolution
  • Measurement
  • Physical Properties
  • Porosity
  • Probability
  • Probability Distributions
  • Simulations
  • Spatial Distribution
  • Three Dimensional
  • Two Dimensional
  • Water Resources

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Geotechnical Engineering.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference