📄 hudson.par.main
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HUDSON - compute effective parameters of anisotropic solids using Hudson's crack theory. Required paramters: <none> Optional parameters vp=4.5 p-wave velocity uncracked solid vs=2.53 s-wave velocity uncracked solid rho=2.8 density cdens=0 crack density aspect=0 aspect ratio fill=0 gas filled cracks =1 water filled outpar =/dev/tty output file Notes: The cracks are assumed to be vertically aligned, penny-shaped and the matrix is isotropic. The resulting anisotropic solid is of HTI symmetry. Output: Computes(a) stiffness elements (b) density normalized stiffness components (c) generic Thomsen parameters (vp0,vs0,eps,delta,gamma) (d) equivalent VTI parameters (alpha,beta,ev,dv,gv) AUTHOR:: Andreas Rueger, Colorado School of Mines, 10/10/96 Additional notes: The routine can be easily modified to allow for any filling adding attenuation is not trivial Technical Reference: Hudson's theory: Hudson, 1981: Wave speed and attenuation of elastic waves in material containing cracks. Geophys. J. R. astr. Soc 64, 133-150 Crampin, 1984: Effective anisotropic elastic constants for waves propagating through cracked solids: Geophys. J. R. astr. Soc 76, 135-145 Equivalent VTI : Rueger, 1996: Reflection coefficients in transversely isotropic media with vertical and horizontal axis of symmetry: Geophysics
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