📄 vint2t.m
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function [t1,t2]=vint2t(vint,z,zout,tnot)
% [t1,t2]=vint2t(vint,z,zout,tnot)
% [t1,t2]=vint2t(vint,z,zout);
% t1=vint2t(vint,z);
%
% Given interval velocity versus depth, compute 1 way vertical
% time as a function of depth.
%
% vint ... vector of interval velocities
% z ... vector of depths for each interval velocity.
% Note: vint(k) is the velocity between z(k) and z(k+1). The
% last v is used indefinitly as a half space
% zout ... vector of depths for which vertical travel times
% are desired.
% ********* default = z ***************
% tnot ... constant time shift (seconds). (The time to z(1) )
% Setting tnot=0 makes z(1) the reference datum
% ********** default = vint(1)/z(1) *********
%
% t1 ... vector of 1-way vertical times (seconds) corresponding to zout
% t2 ... vector of 1-way vertical times (seconds) corresponding to z
% Note: if zout was not the same as z, then you may wish to
% compute a set of velocities to match. Use vint2vrms or vint2vave
% depending on which type of interval velocities you want.
%
% G.F. Margrave, June 1995
%
% 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
if(nargin<4)
tnot=z(1)/vint(1);
end
if(nargin<3)
%force column vectors
vint=vint(:);z=z(:);
% compute a dz vector
nz=length(z);
dz=diff(z);
% integrate
t1=zeros(size(z));
t1(2:nz)=cumsum(dz./vint(1:nz-1));
t1=t1+tnot;
t2=t1;
else
%force column vectors
vint=vint(:);z=z(:);zout=zout(:);
vintout=pcint(z,vint,zout);
nz=length(z);
znew=[z(:);zout(:)];
vnew=[vint(:);vintout(:)];
[znew,iz]=sort(znew);
vnew=vnew(iz);
nz2=length(znew);
dz=diff(znew);
tnew=zeros(size(znew));
tnew(2:nz2)=cumsum(dz./vnew(1:nz2-1));
tnew=tnew+tnot;
t(iz)=tnew; %unsort
t1=t(nz+1:length(t));
t2=t(1:nz);
end
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