A Diffusion Approximation for a Network of Reservoirs With Power Law Release Rule

Abstract

A diffusion approximation for a network of continuous time reservoirs with power law release rules is examined. Under a mild assumption on the inflow processes, we show that for physically reasonable values of the power law constants, the system of processes converges to a multi-dimensional Gaussian diffusion process. We also illustrate how the limiting Gaussian process may be used to compute approximations to the original system of processes. In addition, we study the quality of our approximations by comparing them to results obtained by simulations of the original watershed model. The simulations offer support for the use of the approximation developed here.... Hydrology, Diffusion approximations, Watersheds, Release rules, Markov processes.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1992
Accession Number
ADA263753

Entities

People

  • John E. Glynn
  • Peter W. Glynn

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Data Science
  • Differential Equations
  • Diffusion
  • Drainage Basins
  • Equations
  • Gaussian Processes
  • Geographic Regions
  • Information Science
  • Markov Processes
  • Mathematical Analysis
  • Operations Research
  • Partial Differential Equations
  • Probability
  • Random Variables
  • Simulations
  • Statistics
  • Stochastic Processes

Readers

  • Computational Fluid Dynamics (CFD)
  • Mathematical Modeling and Probability Theory.
  • Wetland-Land-Environmental Management.