Direct Determination of Range from Current Nuclear Overpressure Equations

Abstract

The Brode expression determines peak overpressure as a function of scaled ground range from ground zero and scaled height of burst for nuclear explosions occurring at low altitudes. This study developed analytical expressions to directly compute scaled ground range from ground zero as a function of peak overpressure and scaled height of burst for a nuclear explosion. Since the Brode expression was an empirical fit of actual and predicted data, a curve fitting approach was selected over attempting to mathematically invert the expression. The Brode expression was used to both generate the data and evaluate the quality of any new expression. Acceptable error was specified as ten percent of the actual ground range for those regions of interest. Five analytical expressions in the form of polynomial equations were developed spanning peak overpressures from 1 to 100,000 psi. These polynomial equations were then combined into a Fortran 77 computer program which generated ground range directly from inputs of weapon yield, peak overpressure, and weapon burst height. In most cases the error of the new approximation was well below ten percent of the actual ground range.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1988
Accession Number
ADA194873

Entities

People

  • Roger S. Wolczek

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Counter WMD
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Computer Programs
  • Computers
  • Curve Fitting
  • Databases
  • Engineering
  • Equations
  • Explosions
  • Ground Zero
  • Height Of Burst
  • Information Science
  • Nuclear Explosions
  • Nuclear Weapons
  • Overpressure
  • Regression Analysis
  • Statistical Analysis
  • Weapons Effects

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Explosive Engineering.