Information‐Theoretic Approach to Bidirectional Scaling
Abstract
We present an information‐theoretic approach for integration of multiresolution data into multiscale simulations. This general framework is used to upscale and downscale equations of fluid flow in heterogeneous porous media. Fine‐scale information can comprise observational data and/or simulation results related to both system states and system parameters. It is aggregated into its coarse‐scale representation by setting a probabilistic equivalence between the two scales, with parameters that are determined via minimization of observable error and mutual information across scales. The same quantities facilitate the use of coarse‐scale data to constrain compatible fine‐scale distributions.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Jul 01, 2018
- Source ID
- 10.1029/2017wr021993
Entities
People
- Daniel M. Tartakovsky
- Francesca Boso
Organizations
- Air Force Office of Scientific Research
- National Science Foundation
- Stanford University