Laplace transform application to a nontraditional dissolved oxygen model

  • Authors:

  • T. V. Le;E. M. Roider;D. D. Adrian

  • Affiliations:

  • Louisiana State University, Baton Rouge, LA;Louisiana State University, Baton Rouge, LA;Louisiana State University, Baton Rouge, LA

  • Venue:
  • International Journal of Modelling and Simulation
  • Year:
  • 2007

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Abstract

A three-halves order biochemical oxygen demand (BOD) deoxygenation reaction is incorporated into a dissolved oxygen (DO) model to describe river water quality. The user is provided an alternative approach to the practice of using a first order BOD equation in river water quality models for DO. The new approach uses published BOD data sets of analyses of samples from rivers which are described best in the least squares sense by a three-halves order BOD reaction. The DO differential equation is solved by using the Laplace transform method. The time when the minimum DO concentration occurs is calculated numerically. The DO sag model is applied to examples to show the sensitivity of the model to changes in the three-halves order deoxygenation reaction rate constant and to changes in the BOD load.