📄 drayveclin.m
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function drdt=drayveclin(t,r)
% DRAYVECLIN: compute the derivative of ray vector for v0=a*x+b*z
%
% drdt=drayveclin(t,r)
%
% This is the fundamental driver for v(x,z) raytracing.
% The velocity model is defined by first calling rayvelmod.
% t ... scalar giveg the current time
% r ... 4x1 column vector giving (x,z,p,q)
% drdt ... 4x1 column vector giving the time-derivative of r
%
%
% by G.F. Margrave, CREWES, June 2000
%
% NOTE: It is illegal for you to use this software for a purpose other
% than non-profit education or research UNLESS you are employed by a CREWES
% Project sponsor. By using this software, you are agreeing to the terms
% detailed in this software's Matlab source file.
% BEGIN TERMS OF USE LICENSE
%
% This SOFTWARE is maintained by the CREWES Project at the Department
% of Geology and Geophysics of the University of Calgary, Calgary,
% Alberta, Canada. The copyright and ownership is jointly held by
% its author (identified above) and the CREWES Project. The CREWES
% project may be contacted via email at: crewesinfo@crewes.org
%
% The term 'SOFTWARE' refers to the Matlab source code, translations to
% any other computer language, or object code
%
% Terms of use of this SOFTWARE
%
% 1) Use of this SOFTWARE by any for-profit commercial organization is
% expressly forbidden unless said organization is a CREWES Project
% Sponsor.
%
% 2) A CREWES Project sponsor may use this SOFTWARE under the terms of the
% CREWES Project Sponsorship agreement.
%
% 3) A student or employee of a non-profit educational institution may
% use this SOFTWARE subject to the following terms and conditions:
% - this SOFTWARE is for teaching or research purposes only.
% - this SOFTWARE may be distributed to other students or researchers
% provided that these license terms are included.
% - reselling the SOFTWARE, or including it or any portion of it, in any
% software that will be resold is expressly forbidden.
% - transfering the SOFTWARE in any form to a commercial firm or any
% other for-profit organization is expressly forbidden.
%
% END TERMS OF USE LICENSE
x=r(1);z=r(2);p=r(3);q=r(4);
drdt=zeros(size(r));
a0=1800;g=0.75;h=0;
alpha=a0+g*z+h*x;
drdt(1)=(alpha^2)*p;
drdt(2)=(alpha^2)*q;
drdt(3)=-h/alpha;
drdt(4)=-g/alpha;
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