fktran.m

基于matlab的反演程序,用于地球物理勘探中射线追踪及偏移成像程序.

function [spec,f,kx]=fktran(seis,t,x,ntpad,nxpad,percent,ishift)

% [spec,f,kx]=fktran(seis,t,x,ntpad,nxpad,percent,ishift)
%
% FKTRAN uses Matlab's built in fft to perform a 2-d f-k transform
% on a real valued (presumably seismic time-space) matrix. Only the
% positive f's are calculated while all kxs are. The inverse transform
% is performed by ifktran.
%
% seis ... input 2-d seismic matrix. One trace per column.
% t ... vector of time coordinates for seis. length(t) must be the
%	same as number of rows in seis.
% x ... vector of space coordinates for seis. length(x) must be the same
% 	as the number of columns in seis.
% ntpad ... pad seis with zero filled rows until it is this size.
%	******* default = next power of 2 ******
% nxpad ... pad seis with zero filled columns until it is this size.
%   ******* default = next power of 2 ******
% percent ... apply a raised cosine taper to both t and x prior to zero pad.
%	length of taper is theis percentage of the length of the x and t axes
%   ******* default = 0 *********
% ishift ... if 1, then the k axis of the transform is unwrapped to put
%	kx=0 in the middle.
%   ******* default = 1 *******
% spec ... complex valued f-k transform of seis
% f ... vector of frequency coordinates for the rows of spec
% kx ... vector of wavenumber coordinates for the columns of spec
% 
% G.F. Margrave, CREWES Project, U of Calgary, 1996
%
% 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:  [e-mail]
% 
% 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

[nsamp,ntr]=size(seis);

if(length(t)~=nsamp)
	error(' Time coordinate vector is incorrect');
end
if(length(x)~=ntr)
	error(' Space coordinate vector is incorrect');
end

if(nargin<7) ishift=1; end
if(nargin<6) percent=0.; end
if(nargin<5) nxpad=2^nextpow2(x); end
if(nargin<4) ntpad=2^nextpow2(t); end

%use fftrl for the t-f transform
[specfx,f]=fftrl(seis,t,percent,ntpad);
clear seis;

% ok taper and pad in x
if(percent>0)
	mw=mwindow(ntr,percent);
	mw=mw(ones(1,ntr),:);
	specfx=specfx.*mw;
	clear mw;
end
if(ntr<nxpad)
	ntr=nxpad;
end

%fft on rows
spec = ifft(specfx.',ntr).';

% compute kx
kxnyq = 1./(2.*(x(2)-x(1)));
dkx = 2.*kxnyq/ntr;
kx=[0:dkx:kxnyq-dkx -kxnyq:dkx:-dkx];

if(ishift==1)
	[kx,ikx]=sort(kx);
	spec=spec(:,ikx);
end