A Plane Wave Reflection Coefficient Model Based on Numerical Integration: Formulation, Implementation, and Application.

Abstract

This report describes a plane wave reflection coefficient model based on direct numerical integration of the depth separated wave equation. The model treats a sequence of horizontally stratified fluid layers (sediments) overlying an infinite homogeneous substrate which may be either fluid or solid. In the fluid layers both the sound speed and density can vary in an arbitrary fashion. The numerical integration scheme is discussed in detail as is the important problem of error. It is shown not only that the local error is controlled but also that it can be specified by the user to optimize overall error and computation time. The range and scope of problems to which this model is applicable is illustrated by a sequence of examples showing bottom loss and phase angle versus grazing angle as well as the auxiliary output of pressure versus depth.

Document Details

Document Type
Technical Report
Publication Date
Jun 21, 1976
Accession Number
ADA028521

Entities

People

  • Kenneth E. Hawker
  • Terry L. Foreman

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Bottom Loss
  • Coefficients
  • Equations
  • Grazing Angles
  • Layers
  • Numerical Integration
  • Plane Waves
  • Reflection
  • Sequences
  • Stratified Fluids
  • Wave Equations
  • Waves

Readers

  • Acoustical Oceanography.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Dynamics.