Transient Acoustic Wave Propagation in Stratified Fluids.
Abstract
Transient acoustic wave propagation is analyzed for the case of plane-stratified fluids having density rho(y) and sound speed c(y) at depth y. For infinite fluids it is assumed that the (in general discontinuous) functions rho(y), c(y) are uniformly positive and bounded and satisfy abs.val (rho(y) - rho(at infinity)) < or = C(+ or - y) to the - alpha power, abs. val. (c(y) - c(at infinity)) < or = C(+ or - y) to the - alpha power for + or - y > 0, where alpha > 3/2. Semi-infinite and finite layers are also treated. The acoustic potential is a solution of the wave equation del-squared u/del t-squared - c-squared(y) rho(y) del dot (1/rho(y)grad(u)) = f(t,x,y) where x = (x1,x2) are horizontal coordinates and f(t,x,y) characterizes the wave sources. The principal results of the analysis show that u is the sum of a free component, which behaves like a diverging spherical wave for large t, and a guided component which is approximately localized in regions abs. val. (y - y sub j) < h sub j where c(y) has minima and propagates outward in horizontal planes like a diverging cylindrical wave. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1981
- Accession Number
- ADA104187
Entities
People
- Calvin H. Wilcox
Organizations
- University of Utah