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earthsr.f
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c*** locked mode program ***
c input file consists of :
c n0,iefl,tref # layers in model(including half space) and earth
c flattening control variable ( > 0 applies correction),
c reference period for material dispersion correction
c (0 for none)
c d,vp,vs,rho,qbeta,qalpha model,d is layer thickness. model can
c include a one layer ocean (signalled by setting vs = 0
c in the top layer). half space can have any thickness
c assocoated with it ( 0 is ok)
c jcom = 0 quits ;=1 rayleigh waves ; <> 1 love waves
c output file name
c c1,c2,nbran1,nbran2 min and max phase velocities and min and max
c branch numbers. note that c1 = c2=0 causes program to
c choose phase velocity range for itself
c OLD: nsrce,npts,dt # source depths; # points in seismogram and its sample
c interval (in secs)
c NEW: nsrce,nom,df,fo # source depths; # frequencies and frequency interval and start frequency in Hz.
c sdep source depths
c rdep receiver depth
c
program earthstuf
implicit real*8 (a-h, o-z)
include 'sizes.inc'
include 'units.inc'
common/m/d(lyrs),ro(lyrs),vp(lyrs),vs(lyrs),fu(lyrs),n,noc,ist,iasc
common/m0/d0(lyrs),ro0(lyrs),vp0(lyrs),vs0(lyrs),
& qb0(lyrs),qa0(lyrs),n0
common/mq/vps(lyrs),vss(lyrs)
common/q/qb(lyrs),qa(lyrs)
common/bran/ce(2),ke(2),de(2),ctry,ceps,um,cm,cmx,cmn
common/bits/u,nsrce,idep(lsd),nord,tpi,sdep(lsd),ig,idisc,irdep
character*(256) infil
c -- Arjun: excitations--
real depth(lyrs)
integer per_mall, intper, per_mint
integer nusrper
real*4, dimension(:), allocatable :: usrper
real*4, dimension(:), allocatable :: usrom
character*(256) outfil, outfil_exasc
c -- Arjun: excitations--
istop = -1
tpi = 6.2831853071796d0
c -- Initializing infil as an empty string with 256 characters
do i = 1,256
infil(i:i) = ' '
enddo
write(*,'(a$)') ' input file : '
!read(*,'(a256)') infil
CALL GETARG(1 , infil)
open(iinf1,file = infil,status='old')
c write(*,'(a$)') ' output dispersion file : '
c read(*,'(a256)') infil
write(*,'(a$)') 'Write out ascii files ? (0 for no, 1 for yes) : '
!read(*,'(I1)') iasc
iasc = 1
write(*,'(a$)') 'No. of period samples at which to ensure a
+ solution: '
!read(*,*) nusrper
nusrper = 1
if (nusrper.gt.0) then
allocate(usrper(nusrper))
allocate(usrom(nusrper))
write(*,*) 'Enter period samples (in ascending order) : '
!read(*,*) (usrper(i), i=1,nusrper)
usrper(1) = 10000
usrom=tpi/usrper
write(*,*) 'usrom is ', usrom
endif
cccc -- Arjun: ascii files to be written only if iasc=1
if(iasc.eq.1) then
outfil = 'disp.'//trim(infil)
open(iouf2,file = outfil,status='replace')
outfil = 'disp_vconly.'//trim(infil)
open(iouf3,file = outfil,status='replace')
outfil = 'tocomputeIO.'//trim(infil)
open(150,file=outfil,status='replace')
outfil = 'eigen.'//trim(infil)
open(10,file=outfil,status='replace')
c outfil_exasc = 'excitation.'//trim(infil)
c open(11,file=outfil_exasc,status='replace')
c -- iouf2 is the stream to the ascii dispersion file
c -- Quentin: iouf3 is the stream to the ascii dispersion file without any derivatives
c -- 10 is the stream to the eigenfunction file
c -- 11 is the stream to the ascii excitaion file
endif
cccc -- Arjun: ascii files
read(iinf1,*,end = 777) n0,iefl,tref
omref = 0.d0
if (tref.ne.0.d0) omref = tpi/tref
do i = 1,n0
read(iinf1,*) d0(i),vp0(i),vs0(i),ro0(i),qb0(i),qa0(i)
if (qb0(i).ne.0.d0) qb0(i) = 1.d0/qb0(i)
if (qa0(i).ne.0.d0) qa0(i) = 1.d0/qa0(i)
enddo
c -- jcom is the number that declares love or rayleigh type, 2 for love, 1 for rayleigh
45 read(iinf1,*)jcom
if (jcom.eq.0) go to 777
if (jcom.ne.1) jcom = 2
do i = 1,256
infil(i:i) = ' '
enddo
read(iinf1,'(a256)') infil
c -- iouf1 is the stream to the binary file
open(iouf1,file = infil,status='replace',form='unformatted')
read(iinf1,*) c1,c2,nbran1,nbran2
n = n0
do i = 1,n
d(i) = d0(i)
ro(i) = ro0(i)
vps(i) = vp0(i)
vss(i) = vs0(i)
qa(i) = qa0(i)
qb(i) = qb0(i)
enddo
c -- nom is number of frequncies, df is the frequency increment
read(iinf1,*) nsrce,nom,df,fo
c read(iinf1,*) nsrce,npts,dt
c npts = 2*nfac(npts/2)
read(iinf1,*) (sdep(i),i = 1,nsrce)
call shell(sdep,nsrce)
read(iinf1,*) rdep
c rsplit splits a layer at the receiver depth.
call rsplit(rdep)
c split splits a layer at the source depth.the source
call split(rdep)
c -- Modif. ARJUN: unnecessary information previously written to ascii dispersion file
c write(iouf2,'(/,a,i3)') ' receiver index = ',irdep
c write(iouf2,'(/,a)') ' source indices = '
c
c do k = 1,nsrce
c write(iouf2,'(2x,i3,1x,f10.4)') idep(k),sdep(k)
c enddo
c -- End modif. ARJUN
ccc -- Arjun: ascii files ---------------------------------------------------------
if(iasc.eq.1) then
write(iouf2,'(i3,1x,a)') 3, ' no. of model parameters for part. der.'
write(iouf2,'(i4,1x,a)') n, ' no. of layers in model'
do i = 1,n
write(iouf2,'(1X,f7.3,3(1x,f10.6))') d(i),ro(i),vps(i),vss(i)
enddo
write(10,'(a)') 'eigenfunction file from earthsr'
write(10,'(i4,1x,a)') n, ' layers in model'
depth(1) = 0
c -- output depths instead of thicknesses
do i=1,n
depth(i+1) = depth(i) + d(i)
!write(10,'(4(1x,f8.3))') depth(i), vss(i), ro(i), vps(i)
write(10,'(5e15.7,5e15.7,5e15.7,5e15.7)') depth(i), vss(i), ro(i), vps(i)
enddo
endif
ccc -- Arjun: ascii files --------------------------------------------------------
call flat(jcom,iefl)
if(iasc.eq.1) then
write(iouf2,'(/,a)') ' flattened model '
do i = 1,n
write(iouf2,'(1x,f7.3,3(1x,f10.6))')
& d(i),ro(i),vps(i),vss(i)
enddo
endif
noc = 1
if (vss(1).le.0.d0) noc = 2
cmin = 0.6d0*vss(noc)
cmin = dmin1(cmin,vps(1))
cmn = dmax1(c1,cmin)
do i = 1,n
vss(i) = vss(i)*vss(i)
vps(i) = vps(i)*vps(i)
enddo
c trec = npts*dt
c dom = tpi/trec
c nh = npts/2
dom = tpi*df
nh = nom
c -- dom is frequency increment in radians
c -- om is the maximum radial frequency; omax is om + dom.
c the maximum frequency should be fo + (nh-1)*dom, so
c omax = fo + nh*dom
c omax = (nh + 1)*dom
omax = tpi*fo + nh*dom
om = omax - dom
!WRITE(*,*) ">>>>", omax, fo, df, nh, dom, tpi
!stop 'TOTO'
call qcor(om,omref)
cmax = dsqrt(vs(n)) - 1.d-8
ctst = c2
if (ctst.le.0.d0) ctst = cmax
cmx = dmin1(ctst,cmax)
cmaxi = cmx
call detk(cmaxi,om,kei,dei,jcom)
if (nbran2.lt.0.or.nbran2.ge.kei) nbran2 = kei - 1
nbran = max0((nbran2 - nbran1 + 1),1)
c -- Arjun: ascii files --
if(iasc.eq.1) then
write(iouf2,'(i3,1x,a)') nbran, 'modes listed in file'
write(10,'(i3,7x,a)') nbran, 'modes listed in file'
c write(10,*) "Number of periods included : ",nperiods
endif
c -- Arjun: ascii files --
c write(iouf1) nsrce,npts,dt,jcom,nbran
write(iouf1) nsrce,nom,df,f0,jcom,nbran
c write(11,'(I2,2X,I3,2X,F6.4,2X,F6.4,2X,I2,2X,I2)') nsrce,nom,df,f0,jcom,nbran
write(iouf1) (sdep(i),i = 1,nsrce)
c write(11,'(2X,F6.2)') (sdep(i),i = 1,nsrce)
nb = nbran1
c Start with the lower mode, come back here for the next higher mode when this mode is done
30 ctry = 0.5d0*(cmn + cmx)
ceps = 0.5d0*(cmx - ctry)
cm = 0.d0
write(iouf1) nb
c write(11,'(2X,I2)') nb
c -- Arjun: eigenfunctions
if(iasc.eq.1) then
write(10,'(I3,7X,A)') nb, "mode number"
per_mall = 0
per_mint = 0
c Doing the same loop over frequencies as below, except without the call to intrp, which means the eigenfunctions are not calculated here.
c So this loop is only to determine how many periods per mode will be there in the eigenfunction output file
do i = 1,nh
om = omax - i*dom
!WRITE(*,*) ">>>>", i, om/tpi, dom/tpi, omax/tpi
call qcor(om,omref)
cmax = dsqrt(vs(n)) - 1.d-8
ctst = c2
if (ctst.le.0.d0) ctst = cmax
cmx = dmin1(ctst,cmax)
call cex(om,nb,jcom,nev)
period = tpi/om
if (nev.eq.1) then
per_mall = per_mall + 1
if (abs(period-nint(period)).lt.0.00001) then
per_mint = per_mint + 1
endif
endif
enddo
!STOP 'TOTA'
write(10,'(I3,X,I4,6X,A)') per_mint, per_mall, "period samples this mode (integral, all)"
endif
c -- End Arjun: eigenfunctions
iusr = 1
do i = 1,nh
om = omax - i*dom
if (nusrper.gt.0 .and. iusr.le.nusrper) then
if (usrom(iusr).gt.om) then
!write(*,*) 'Found gap at ', tpi/om, ' for ', tpi/usrom(iusr)
omuse=usrom(iusr)
iusr=iusr+1
else
omuse=om
endif
else
omuse=om
endif
!WRITE(*,*) "omuse", i, usrom(iusr)/tpi, omuse/tpi, om/tpi, omax/tpi, dom/tpi
call qcor(omuse,omref)
cmax = dsqrt(vs(n)) - 1.d-8
ctst = c2
if (ctst.le.0.d0) ctst = cmax
cmx = dmin1(ctst,cmax)
call cex(omuse,nb,jcom,nev)
c write(*,*), "Period is: ", tpi/omuse, "nev is: ", nev
if (nev.eq.0)go to 40
call intrp(omuse,dom,jcom)
enddo
!stop 'toto'
c -- Arjun: ascii files --
40 if(iasc.eq.1) then
write(iouf2,905) nb
c write(10,905) nb
endif
c -- Arjun: ascii files --
905 format(' ******** mode number: ',i3,' done. ********')
nb = nb + 1
write(iouf1) istop
c write(11,'(2X,I2)') istop
if (nb.le.nbran2) go to 30
close(iouf1)
go to 45
777 close(iinf1)
if (nusrper.gt.0) then
deallocate(usrper)
deallocate(usrom)
endif
if(iasc.eq.1) then
write(*,'(a,a)') ' output s_d vector file is : ', outfil
close(iouf2)
close(iouf3)
close(10)
close(150)
c close(11)
endif
stop
end
subroutine split(rdep)
c subroutine splits a layer at the source depth.the source
c must be above the half space and not at the surface.
implicit real*8(a - h,o - z)
include 'sizes.inc'
common/m/d(lyrs),ro(lyrs),vp(lyrs),vs(lyrs),fu(lyrs),n,noc,ist
common/q/qb(lyrs),qa(lyrs)
common/mq/vps(lyrs),vss(lyrs)
common/bits/u,nsrce,idep(lsd),nord,tpi,sdep(lsd),ig,idisc,irdep
do 10 ndp = 1,nsrce
thk = 0.d0
iss = 0
if (sdep(ndp).le.0.d0) go to 10
do 1 is = 1,n
iss = iss + 1
thk = thk + d(is)
1 if (sdep(ndp).le.thk)go to 2
2 if (sdep(ndp).eq.thk)go to 10
c if the source is already at an interface don't do anything
c split the layer containing the source
splt = thk - sdep(ndp)
c shift the model down
is1 = iss + 1
nsf = n - iss
do l = 1,nsf
k = n + 1 - l
j = k + 1
d(j) = d(k)
ro(j) = ro(k)
vps(j) = vps(k)
vss(j) = vss(k)
qa(j) = qa(k)
qb(j) = qb(k)
enddo
c split the source layer
d(is1) = splt
d(iss) = d(iss) - splt
ro(is1) = ro(iss)
vps(is1) = vps(iss)
vss(is1) = vss(iss)
qa(is1) = qa(iss)
qb(is1) = qb(iss)
n = n + 1
if (sdep(ndp).lt.rdep) irdep = irdep + 1
10 idep(ndp) = iss + 1
return
end
subroutine rsplit(rdep)
c subroutine splits a layer at the receiver depth.
implicit real*8(a - h,o - z)
include 'sizes.inc'
common/m/d(lyrs),ro(lyrs),vp(lyrs),vs(lyrs),fu(lyrs),n,noc,ist
common/q/qb(lyrs),qa(lyrs)
common/mq/vps(lyrs),vss(lyrs)
common/bits/u,nsrce,idep(lsd),nord,tpi,sdep(lsd),ig,idisc,irdep
if (rdep.le.0.d0) then
irdep = 1
return
endif
thk = 0.d0
iss = 0
do 1 is = 1,n
iss = iss + 1
thk = thk + d(is)
1 if (rdep.le.thk) go to 2
2 if (rdep.eq.thk) then
c if the receiver is already at an interface don't do anything
irdep = iss + 1
return
endif
irdep = iss + 1
c split the layer containing the source
splt = thk - rdep
c shift the model down
is1 = iss + 1
nsf = n - iss
do l = 1,nsf
k = n + 1 - l
j = k + 1
d(j) = d(k)
ro(j) = ro(k)
vps(j) = vps(k)
vss(j) = vss(k)
qa(j) = qa(k)
qb(j) = qb(k)
enddo
c split the receiver layer
d(is1) = splt
d(iss) = d(iss) - splt
ro(is1) = ro(iss)
vps(is1) = vps(iss)
vss(is1) = vss(iss)
qa(is1) = qa(iss)
qb(is1) = qb(iss)
n = n + 1
return
end
subroutine deriv(cc,w,ls)
c deriv analytically calculates the rayleigh layer integrals required for the
c group velocity and for the phase velocity derivatives.it is assumed
c that uz,ur,tz,tr have been calculated by detray and stored in array x.
c log derivatives are stored in array der as dc/drho,dc/dalf,dc/dbet,
c spectra are computed at a distance of 1000km for source size 10.**27
c cf mendiguren j.g.r. 1977 for excitation functions
implicit real*8(a - h,o - z)
include 'sizes.inc'
include 'units.inc'
common/x/x(4,lyrs),der(3,lyrs)
common/q/qb(lyrs),qa(lyrs)
common/bits/u,nsrce,idep(lsd),nord,tpi,sdep(lsd),ig,idisc,irdep
common/m/d(lyrs),ro(lyrs),vp2(lyrs),vs2(lyrs),fu(lyrs),n,noc,ist,iasc
c -- new variable added by Arjun
dimension dep(lyrs)
integer, save :: iprev = 1
c -- end of new variable declaration
p = 1.d0/cc
psq = p*p
ha = dsqrt(psq - 1.d0/vp2(ls))
hb = dsqrt(psq - 1.d0/vs2(ls))
c1 = (hb*x(1,ls) + p*x(2,ls))/(psq - ha*hb)
c2 = (ha*x(2,ls) + p*x(1,ls))/(psq - ha*hb)
c3 = ro(ls)*c1*c2*(hb/vp2(ls) + ha/vs2(ls))/(p*(ha + hb))
t1 = ro(ls)*(ha*c1*c1 + hb*c2*c2 - 2.d0*p*c1*c2)
t2 = 0.5d0*ro(ls)*c1*c1/(vp2(ls)*ha)
t3 = 0.5d0*ro(ls)*c2*c2/(vs2(ls)*hb) + t2
c si1,si2,si3 are the energy integrals
c *** These are I1, I2, and I3 in eqn 13 and Appendix A in G&M ***
si1 = t1 + t3
si2 = 4.d0*vs2(ls)*psq*(t1 + c3) + t3
si3 = 0.5d0*(si2 + si1)
der(1,ls) = 0.5d0*(si2 - si1)
der(2,ls) = t2
der(3,ls) = si2 - t2
i = ls
100 i1 = i
i = i - 1
r2 = 2.d0*fu(i)*p
e4 = r2*x(1,i1) - x(4,i1)
e1 = ro(i)*x(1,i1) - p*e4
e2 = r2*x(2,i1) - x(3,i1)
e3 = ro(i)*x(2,i1) - p*e2
f4 = r2*x(1,i) - x(4,i)
f1 = ro(i)*x(1,i) - p*f4
f2 = r2*x(2,i) - x(3,i)
f3 = ro(i)*x(2,i) - p*f2
dh = 0.5d0*d(i)*w
ha = psq - 1.d0/vp2(i)
hb = psq - 1.d0/vs2(i)
c1 = dh*(e1*e1 - ha*e2*e2)
c2 = 0.5d0*(e1*e2 - f1*f2)
c3 = dh*(e3*e3 - hb*e4*e4)
c4 = 0.5d0*(e3*e4 - f3*f4)
c5 = p*(e2*e4 - f2*f4)
c6 = cc*(e1*e3 - f1*f3) - c5
t1 = 2.d0*(c5 + c2 + c4)/ro(i)
t2 = (c2 - c1)/(ro(i)*vp2(i)*ha)
t3 = (c4 - c3)/(fu(i)*hb) + t2
sj1 = t1 + t3
sj2 = 4.d0*vs2(i)*psq*(t1 + c6/ro(i)) + t3
si1 = si1 + sj1
si2 = si2 + sj2
si3 = si3 + 0.5d0*(sj2 + sj1) - (c1 + c3)/ro(i)
der(1,i) = 0.5d0*(sj2 - sj1)
der(2,i) = t2
der(3,i) = sj2 - t2
if (i.gt.noc) go to 100
if (noc.eq.1) go to 30
c energy integrals and partials in ocean layer
ha = (psq - 1.d0/vp2(1))/ro(1)
c1 = 0.5d0*d(1)*w*(x(1,noc)*x(1,noc) - ha*x(3,noc)*x(3,noc)/ro(1))
c2 = - 0.5d0*x(1,noc)*x(3,noc)/ro(1)
t2 = (c2 - c1)/(ha*vp2(1))
t1 = 2.d0*ro(1)*c2 + t2
si1 = si1 + t1
si2 = si2 + t2
si3 = si3 + 0.5d0*(t1 + t2) - ro(1)*c1
der(1,1) = 0.5d0*(t2 - t1)
der(2,1) = t2
der(3,1) = 0.d0
30 u = cc*si3/si1
c flan should be almost zero if the eigenvector is accurate
flan = si1/si2 - 1.d0
if (dabs(flan).ge.1.e-8) go to 999
c --- Modif. Arjun Sep 2014
c To overcome the problem of garbage values at depths greater than the maximum depth
c upto which modal eigenfunctions are calculated. Eigenfunction values at these
c depths should of course be 0 but before this modification was made, garbage values
c were written out in their place
if (irdep>ls) then
x(1,irdep)=0.0
x(2,irdep)=0.0
x(3,irdep)=0.0
x(4,irdep)=0.0
endif
fnorm = 1.d0/si3
do i = 1,ls
do j = 1,3
der(j,i) = der(j,i)*fnorm
enddo
enddo
per = tpi/w
c -- Arjun: output eigenfunctions --
if(iasc.eq.1) then
if (abs(per-nint(per)).lt.0.00001) then
intper=1
else
intper=0
endif
dep(1)=0
do ic=1,ls
dep(ic+1)=dep(ic)+d(ic)
c write(*,*) dep(ic)
enddo
c write(10,'(" mode=",I3," period=",F13.7," layers=",I4,6X,I2)') nord,period,ls,intper
write(10,901) nord,per,cc,u,(w*w/(cc*si3)),ls,intper
write(10, '(5e15.7)') (dep(ic),(x(ir,ic),ir=1,4), ic=1,ls)
!write(*,*) 'TOTO', nord,per,ls
write(150,902) -1, nord,per,cc,u
write(150, '(5e15.7)') (dep(ic),(x(ir,ic),ir=1,4), ic=1,ls)
901 format(I3,3(F13.7,2X),e15.7,4X,I4,4X,I2)
902 format(I7,I7,3(F13.7,2X))
endif
c -- end Arjun: output eigenfunctions --
c ignore attenuation in the ocean
q = 0.d0
do i = noc,ls
q = q + der(2,i)*qa(i) + der(3,i)*qb(i)
enddo
gam = 0.5d0*w*q/cc
gb2 = w*( - x(1,irdep)/cc + x(4,irdep)/fu(irdep))
gb1 = w*( (1.d0 - 2.d0*vs2(irdep)/vp2(irdep))*x(2,irdep)/cc
1 + x(3,irdep)/(ro(irdep)*vp2(irdep)) )
c *** Now output all the quantities for equations 13a and 13b in G&M ***
c *** x(1,irdep) and x(2,irdep) are the same as b1(zr) and b2(zr) in eqns 13a and 13b in G&M ***
write(iouf1) w,cc,gam,x(1,irdep),x(2,irdep),gb1,gb2
c write(*,*) "From deriv: ls is ", ls , "& irdep is ", irdep
c write(11,'(7(2X,F10.6))') w,cc,gam,x(1,irdep),x(2,irdep),gb1,gb2
c -- Arjun: Description of what goes into the (binary) excitations file-
c w is frequency in radians, cc is phase velocity,
c gam is a measure of attenuation (0 for no attenuation)
c
c -- Arjun: End of description
c write out the excitations.py1,py2,py3 correspond to a,b,c in mendiguren
c *** py1,py2 and py3 are the terms in the parentheses in eqn 13a in G&M ****
c *** py1,py2 and py3 each get multiplied by s1,s2, and s3 in equation 13 in G&M ***
c *** x(1,z),x(2,z),x(3,z),x(4,z) are the same as b1(z),b2(z),b3(z),b4(z) in G&M ***
fact = p*dsqrt(p*w)/(si3*15.853309d-6)
do i = 1,nsrce
id = idep(i)
py1 = x(2,id)*p*fact
c *** py1 is the first term of eqn 13a in G&M ***
py2 = x(4,id)*fact/fu(id)
c *** py2 is the third term of eqn 13a in G&M ***
sig = ro(id)*vp2(id)
py3 = - (x(3,id)/sig + p*(1.d0 - 2.d0*fu(id)/sig)*x(2,id))*fact
c *** py3 is the second term of eqn 13a in G&M ***
if (id.gt.ls) then
py1 = 0.d0
py2 = 0.d0
py3 = 0.d0
endif
write(iouf1) py1,py2,py3
c write(11,'(3(2X,F7.4))') py1,py2,py3
enddo
if (q.ne.0.d0)q = 1.d0/q
c ------- Arjun: output to ascii dispersion file --------------------------------
if(iasc.eq.1) then
c -- Modif. ARJUN - phase velocity partial derivatives now output to the ascii
c -- dispersion file, for select periods
c idiv=merge(5,10,per.le.50)
c if (per.le.500) then
c if (((mod(nint(per),idiv).eq.0) .or. (mod(floor(per),idiv).eq.0))
c + .and. ((nint(per).ne.iprev) .and. (floor(per).ne.iprev))) then
c write(iouf2,900) nord,per,cc,u,q,flan,ls,1
c do j = 1,3
c write(iouf2,'(7e15.7)') (der(j,i),i=1,ls)
c enddo
c iprev=floor(per)
c else
c write(iouf2,900) nord,per,cc,u,q,flan,ls,0
c endif
if ((per.lt.400) .and. (mod(nint(per),5).eq.0) .and.
+ (abs(per-nint(per)).lt.0.00001)) then
write(iouf2,900) nord,per,cc,u,q,flan,ls,1
write(iouf3,900) nord,per,cc,u,q,flan
do j = 1,3
write(iouf2,'(7e15.7)') (der(j,i),i=1,ls)
enddo
else
write(iouf2,900) nord,per,cc,u,q,flan,ls,0
write(iouf3,900) nord,per,cc,u,q,flan
endif
900 format(1x,i5,5g15.7,4X,i3,4X,i1)
endif
c -- End Arjun: output to the ascii dispersion file -----------------------------
return
999 write(*,950) flan
950 format(' problem with eigenfunction : flan = ',g15.7)
stop
end
subroutine detlov(cc,w,de,ifeif)
c computes the love stress - displacement vector and propagates it
c upwards. if ifeif = 0 only the determinant at the surface
c is returned. if ifeif = 1 derivatives,excitations etc. are computed
implicit real*8(a - h,o - z)
include 'sizes.inc'
include 'units.inc'
common/x/x(2,lyrs),scale(lyrs),der(2,lyrs),dummy(lyrs*2)
common/m/d(lyrs),ro(lyrs),vp2(lyrs),vs2(lyrs),fu(lyrs),n,noc,ist,iasc
common/bits/u,nsrce,idep(lsd),nord,tpi,sdep(lsd),ig,idisc,irdep
common/q/qb(lyrs),qa(lyrs)
c -- new variable added by Arjun
dimension dep(lyrs)
c -- end of new variable declaration
p = 1.d0/cc
psq = p*p
x(1,ist) = 1.d0
x(2,ist) = - fu(ist)*dsqrt(psq - 1.d0/vs2(ist))
i = ist
scale(i) = 0.d0
c propagate the solution up
100 i1 = i
i = i - 1
f1 = 1.d0/fu(i)
hb = psq - 1.d0/vs2(i)
wd = w*d(i)
call arg(wd,hb,cb,sb,fac)
scale(i) = scale(i1) + fac
fsb = f1*sb
hsb = hb*sb*fu(i)
x(1,i) = cb*x(1,i1) + fsb*x(2,i1)
x(2,i) = hsb*x(1,i1) + cb*x(2,i1)
if (i.gt.noc) go to 100
de = x(2,noc)/(dabs(x(2,noc)) + dabs(x(1,noc)))
if (ifeif.eq.0) return
c compute derivatives,excitations etc.
xnorm = 1.d0/x(1,noc)
knt = noc - 1
do 25 i = noc,ist
knt = knt + 1
xfac = 1.d0
if (scale(i) - scale(noc).ne.0.d0) xfac = dexp(scale(i) - scale(noc))
ls = i
x(1,i) = x(1,i)*xnorm*xfac
x(2,i) = x(2,i)*xnorm*xfac
if (dabs(de).gt.1.d-4) go to 25
if (i.lt.noc + 1) go to 25
c if stress - displacement vector is small enough and solution is no
c longer oscillatory reduce the model size
pbsq = 1.d0/vs2(i)
if (xfac.lt.1.d-15.and.psq.ge.pbsq) go to 30
25 continue
30 if (dabs(de).ge.1.d-4)call fixlov(w,p)
hb = w*dsqrt(psq - 1.d0/vs2(ls))
fi1 = 0.5d0*x(1,ls)*x(1,ls)/hb
fi2 = 0.5d0*x(2,ls)*x(2,ls)/(hb*fu(ls))
c si1,si2,si3 are the energy integrals
c der(1,i),der(2,i)are the log. derivatives of phase velocity wrt rho and vs
si1 = ro(ls)*fi1
si2 = psq*fu(ls)*fi1 + fi2
si3 = fu(ls)*fi1
der(1,ls) = 0.5d0*(si2 - si1)
der(2,ls) = si2
i = knt
35 i1 = i
i = i - 1
c0 = psq*fu(i) - ro(i)
c1 = 0.5d0*(x(1,i)*x(2,i) - x(1,i1)*x(2,i1))/w
c2 = 0.5d0*d(i)*(c0*x(1,i1)*x(1,i1) - x(2,i1)*x(2,i1)/fu(i))
fi1 = (c2 - c1)/c0
fi2 = - c2 - c1
sj1 = ro(i)*fi1
sj2 = psq*fu(i)*fi1 + fi2
si1 = si1 + sj1
si2 = si2 + sj2
si3 = si3 + fu(i)*fi1
der(1,i) = 0.5d0*(sj2 - sj1)
der(2,i) = sj2
if (i.gt.noc) go to 35
u = p*si3/si1
per = tpi/w
c -- Arjun: output eigenfunctions --
if(iasc.eq.1) then
if (abs(per-nint(per)).lt.0.00001) then
intper=1
else
intper=0
endif
dep(1)=0
do ic=1,ls
dep(ic+1)=dep(ic)+d(ic)
c write(*,*) dep(ic)
enddo
c write(10,'(" mode=",I3," period=",F13.7," layers=",I4,6X,I2)') nord,period,ls,intper
write(10,'(I3,4(F13.7,2X),I4,6X,I2)') nord,per,cc,u,(si3*cc/w*w),ls,intper
write(10, '(3e15.7)') (dep(ic),(x(ir,ic),ir=1,2), ic=1,ls)
!write(15,'(I3,4(F13.7,2X),6X)') nord,per,ls
write(150,9022) -1, nord,per,cc,u
write(150, '(3e15.7)') (dep(ic),(x(ir,ic),ir=1,2), ic=1,ls)
9022 format(I7,I7,3(F13.7,2X))
endif
c -- end Arjun: output eigenfunctions --
c flan should be close to zero if the eigenfunction is accurate
flan = si2/si1 - 1.d0
if (dabs(flan).ge.1.e-8) go to 999
fnorm = 1.d0/(psq*si3)
q = 0.d0
do 40 i = noc,ls
der(1,i) = der(1,i)*fnorm
der(2,i) = der(2,i)*fnorm
40 q = q + der(2,i)*qb(i)
gam = 0.5d0*w*q/cc
c compute 'excitation' functions.py1,py2 correspond to a,b in mendiguren
if (irdep>ls) then
x(1,irdep)=0.0
x(2,irdep)=0.0
endif
gb1 = w*x(2,irdep)/fu(irdep)
write(iouf1) w,cc,gam,x(1,irdep),gb1
c write(*,*) "From detlov: ls is ", ls , "& irdep is ", irdep
c write(11,'(5(2X,F10.6))') w,cc,gam,x(1,irdep),gb1
fact = 1.d0/(dsqrt(p*w)*si3*15.853309d-6)
do 45 i = 1,nsrce
id = idep(i)
py1 = x(1,id)*p*fact
py2 = x(2,id)*fact/fu(id)
if (id.le.ls) go to 45
py1 = 0.d0
py2 = 0.d0
45 write(iouf1) py1,py2
c write(11,'(2(2X,F7.4))') py1,py2
per = tpi/w
if (q.ne.0.d0)q = 1.d0/q
c ------ Arjun: output to ascii dispersion file -------------------------------
if(iasc.eq.1) then
write(iouf2,900) nord,per,cc,u,q,flan,0,0
write(iouf3,900) nord,per,cc,u,q,flan,0,0
900 format(1x,i5,5g15.7,2i3)
endif
c ------ End Arjun: outout to ascii dispersion file -------------------------
return
999 write(*,950) flan
950 format(' problem with eigenfunction : flan = ',g15.7)
stop
end
subroutine intrp(om,dom,jcom)
c interpolates between bracketing c's to find the root.uses a bisection scheme.
implicit real*8(a - h,o - z)
include 'sizes.inc'
common/m/d(lyrs),ro(lyrs),vp2(lyrs),vs2(lyrs),fu(lyrs),n,noc,ist,iasc
common/bits/u,nsrce,idep(lsd),nord,tpi,sdep(lsd),ig,idisc,irdep
common/bran/ce(2),ke(2),de(2),ctry,ceps,um,cm,cmx,cmn
data tol,dlta/1.d-11,1.d-5/
fc = de(1)
fb = de(2)
if (fc*fb.ge.0.d0) return
nord = ke(1)
c = ce(1)
b = ce(2)
psq = 1.d0/(b*b)
call strtdp(psq,om)
s = c
fs = fc
c*** bisect ***
5 h = 0.5d0*(b + c)
t = h*tol
c*** check for convergence ***
db = dabs(fb)
dc = dabs(fc)
if (dabs(h - b).lt.t) go to 35
if (db.le.dc) go to 10
y = b
fy = fb
gg = b
fg = fb
s = c
fs = fc
go to 15
10 y = s
fy = fs
gg = c
fg = fc
s = b
fs = fb
15 if (fy.eq.fs) go to 20
b = (s*fy - y*fs)/(fy - fs)
if (dabs(b - s).lt.t) b = s + dsign(t,gg - s)
if( (b-h)*(s-b).lt.0.d0) b = h
go to 25
20 b = h
25 call detray(b,om,fb,0,jcom)
if (fg*fb.lt.0.d0) go to 30
c = s
fc = fs
go to 5
30 c = gg
fc = fg
go to 5
35 if (dc.lt.db) b = c
call detray(b,om,fb,1,jcom)
cp = b*(1.d0 - b/u)/om
ctry = 0.d0
clin = b - cp*dom
ctry = 5.d0*cm - 4.d0*b - 2.d0*dom*(um + 2.d0*cp)
ceps = dmax1(dabs(clin - ctry),ctry*tol)
60 um = cp
cm = b
if (ctry.ne.0.d0) return
ctry = b - cp*dom
ceps = dmax1(dabs(cp*dom),ctry*tol)
return
end
subroutine detray(cc,w,de,ifeif,jcom)
c routine computes minor vector in each layer for
c raleigh waves by progagation upwards. if ifeif = 0
c only the determinant at the surface is returned.
c if ifeif = 1 the stress - displacement vector is
c computed in each layer and deriv is called.
implicit real*8(a - h,o - z)
include 'sizes.inc'
common/x/x(4,lyrs),der(2,lyrs),scale(lyrs)
common/bits/xxz,nsrce,izz(lsd),nord,tpi,zz(lsd),ig,idisc,irdep
common/m/d(lyrs),ro(lyrs),vp2(lyrs),vs2(lyrs),fu(lyrs),n,noc,ist
common/y/y1,y2,y3,y4,y5
dimension ym(5,lyrs),y(5)
equivalence (ym,x),(y1,y)
if (jcom.eq.1) go to 1
call detlov(cc,w,de,ifeif)
return
c compute minor vector y at bottom
1 p = 1.d0/cc
ysav = 0.d0
psq = p*p
r2 = 2.d0*fu(ist)*p
y3 = dsqrt(psq - 1.d0/vp2(ist))
y4 = - dsqrt(psq - 1.d0/vs2(ist))
y1 = - (y3*y4 + psq)/ro(ist)
y2 = r2*y1 + p
y5 = ro(ist) - r2*(p + y2)
i = ist
c -- Arjun: ist is probably the total number of layers
scale(i) = 0.d0
do j = 1,5
ym(j,i) = y(j)
enddo
c**** propagate up layers ****
100 i = i - 1
wd = w*d(i)
ha = psq - 1.d0/vp2(i)
call arg(wd,ha,ca,sa,faca)
hb = psq - 1.d0/vs2(i)
call arg(wd,hb,cb,sb,facb)
scale(i) = scale(i + 1) + faca + facb
hbs = hb*sb
has = ha*sa
r1 = 1.d0/ro(i)
r2 = 2.d0*fu(i)*p
b1 = r2*y1 - y2
g3 = (y5 + r2*(y2 - b1))*r1
g1 = b1 + p*g3
g2 = ro(i)*y1 - p*(g1 + b1)
g1 = g1*dexp( - faca - facb)
e1 = cb*g2 - hbs*y3
e2 = - sb*g2 + cb*y3
e3 = cb*y4 + hbs*g3
e4 = sb*y4 + cb*g3
y3 = ca*e2 - has*e4
y4 = sa*e1 + ca*e3
g3 = ca*e4 - sa*e2
b1 = g1 - p*g3
y1 = (ca*e1 + has*e3 + p*(g1 + b1))*r1
y2 = r2*y1 - b1
y5 = ro(i)*g3 - r2*(y2 - b1)
do j = 1,5
ym(j,i) = y(j)
enddo
if (i.gt.noc) go to 100
if (noc.eq.1) go to 15
c *** propagate through ocean layer ***
ha = psq - 1.d0/vp2(1)
wd = w*d(1)
call arg(wd,ha,ca,sa,faca)
y1 = ca*y3 - ha*sa*y5/ro(1)
y5 = ca*y5 - ro(1)*sa*y3
y2 = y5
15 de = y5/dsqrt(y1*y1 + y2*y2)
if (ifeif.eq.0) return
c compute stress - displacement vector x = n*y
ynorm = 1.d0/ym(3,noc)
if (noc.eq.1) go to 20
c cope with possibility of stoneley mode on ocean floor by integrating
c from surface
y1 = ca
y2 = ro(1)*sa
ysav = y2/y1
de1 = de
de = dmin1(dabs(de1),dabs(ynorm*ym(5,noc)/ysav - 1.d0))
c specify arbitrary solution y at the surface
20 y1 = 0.d0
y2 = -ynorm
y3 = 0.d0
y4 = 0.d0
xfac = 1.d0
sum = 0.d0
i = noc
c minor elements compose matrix n so that x = n*b.(x is the stress - displacement
c vector) compute x in each layer. this happens to be numerically stable.
c b is a solution to the equations of motion db/dz = ab
c Arjun: so b probably contains r1, r2, r3, r4, to which the stresses and displacements
c are proportional
25 xx1 = -ym(2,i)*y1 - ym(3,i)*y2 + ym(1,i)*y4
xx2 = -ym(4,i)*y1 + ym(2,i)*y2 - ym(1,i)*y3
xx3 = -ym(5,i)*y2 - ym(2,i)*y3 - ym(4,i)*y4
xx4 = ym(5,i)*y1 - ym(3,i)*y3 + ym(2,i)*y4
x(1,i) = xx1*xfac
x(2,i) = xx2*xfac
x(3,i) = xx3*xfac
x(4,i) = xx4*xfac
ls = i
if (i.eq.ist) go to 30
if (i.lt.noc + 1) go to 35
if (dabs(de).gt.1.d-4) go to 35
c if x becomes small and the solution is no longer oscillatory
c reduce the model size
pbsq = 1.d0/vs2(i)
if (xfac.lt.1.d-15.and.psq.ge.pbsq) go to 30
35 wd = w*d(i)
ha = psq - 1.d0/vp2(i)
call arg(wd,ha,ca,sa,faca)
hb = psq - 1.d0/vs2(i)
call arg(wd,hb,cb,sb,facb)
dfac = dexp(facb - faca)