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emak135.f
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subroutine emdlv(r,vp,vs)
c set up information on earth model (specified by
c subroutine call emiasp)
c set dimension of cpr,rd equal to number of radial
c discontinuities in model
parameter (re=6371.0)
call vak135(re-r,vp,vs,rho)
end
subroutine emdld(dmax,n,cpr,name)
parameter (re=6371.0,nd=9,eqdmax=800.)
dimension cpr(nd),rd(nd)
character*(*) name
character*20 modnam
logical first
data rd/0.,20.,35.,210.,410.,660.,2740.,2891.5,5153.5/
data modnam/'ak135'/, first/.true./
if (first) then
first = .false.
do 10 i=1,nd
rd(i) = re-rd(i)
10 continue
endif
n=nd
do 1 i=1,nd
1 cpr(i)=rd(nd-i+1)
name=modnam
dmax=eqdmax
return
end
subroutine vak135(pz,pp,ps,prho)
parameter (nz=138)
real z(nz),rho(nz),vp(nz),vs(nz)
real interp
data (z(i),rho(i),vp(i),vs(i),i=1,10) /
+ 0.00, 3.0000, 5.8000, 3.4600,
+ 20.00, 3.0000, 5.8000, 3.4600,
+ 20.00, 3.0000, 6.5000, 3.8500,
+ 35.00, 3.0000, 6.5000, 3.8500,
+ 35.00, 3.0000, 8.0400, 4.4800,
+ 77.50, 3.0000, 8.0450, 4.4900,
+ 120.00, 3.4268, 8.0505, 4.5000,
+ 165.00, 3.3711, 8.1750, 4.5090,
+ 210.00, 3.3243, 8.3007, 4.5184,
+ 210.00, 3.3243, 8.3007, 4.5230/
data (z(i),rho(i),vp(i),vs(i),i=11,20) /
+ 260.00, 3.3663, 8.4822, 4.6094,
+ 310.00, 3.4110, 8.6650, 4.6964,
+ 360.00, 3.4577, 8.8476, 4.7832,
+ 410.00, 3.5068, 9.0302, 4.8702,
+ 410.00, 3.9317, 9.3601, 5.0806,
+ 460.00, 3.9273, 9.5280, 5.1864,
+ 510.00, 3.9233, 9.6962, 5.2922,
+ 560.00, 3.9218, 9.8640, 5.3989,
+ 610.00, 3.9206, 10.0320, 5.5047,
+ 660.00, 3.9201, 10.2000, 5.6104/
data (z(i),rho(i),vp(i),vs(i),i=21,30) /
+ 660.00, 4.2387, 10.7909, 5.9607,
+ 710.00, 4.2986, 10.9222, 6.0898,
+ 760.00, 4.3565, 11.0553, 6.2100,
+ 809.50, 4.4118, 11.1355, 6.2424,
+ 859.00, 4.4650, 11.2228, 6.2799,
+ 908.50, 4.5162, 11.3068, 6.3164,
+ 958.00, 4.5654, 11.3897, 6.3519,
+ 1007.50, 4.5926, 11.4704, 6.3860,
+ 1057.00, 4.6198, 11.5493, 6.4182,
+ 1106.50, 4.6467, 11.6265, 6.4514/
data (z(i),rho(i),vp(i),vs(i),i=31,40) /
+ 1156.00, 4.6735, 11.7020, 6.4822,
+ 1205.50, 4.7001, 11.7768, 6.5131,
+ 1255.00, 4.7266, 11.8491, 6.5431,
+ 1304.50, 4.7528, 11.9208, 6.5728,
+ 1354.00, 4.7790, 11.9891, 6.6009,
+ 1403.50, 4.8050, 12.0571, 6.6285,
+ 1453.00, 4.8307, 12.1247, 6.6554,
+ 1502.50, 4.8562, 12.1912, 6.6813,
+ 1552.00, 4.8817, 12.2558, 6.7070,
+ 1601.50, 4.9069, 12.3181, 6.7323/
data (z(i),rho(i),vp(i),vs(i),i=41,50) /
+ 1651.00, 4.9321, 12.3813, 6.7579,
+ 1700.50, 4.9570, 12.4427, 6.7820,
+ 1750.00, 4.9817, 12.5030, 6.8056,
+ 1799.50, 5.0062, 12.5638, 6.8289,
+ 1849.00, 5.0306, 12.6226, 6.8517,
+ 1898.50, 5.0548, 12.6807, 6.8743,
+ 1948.00, 5.0789, 12.7384, 6.8972,
+ 1997.50, 5.1027, 12.7956, 6.9194,
+ 2047.00, 5.1264, 12.8524, 6.9416,
+ 2096.50, 5.1499, 12.9093, 6.9625/
data (z(i),rho(i),vp(i),vs(i),i=51,60) /
+ 2146.00, 5.1732, 12.9663, 6.9852,
+ 2195.50, 5.1963, 13.0226, 7.0069,
+ 2245.00, 5.2192, 13.0786, 7.0286,
+ 2294.50, 5.2420, 13.1337, 7.0504,
+ 2344.00, 5.2646, 13.1895, 7.0722,
+ 2393.50, 5.2870, 13.2465, 7.0932,
+ 2443.00, 5.3092, 13.3017, 7.1144,
+ 2492.50, 5.3313, 13.3584, 7.1368,
+ 2542.00, 5.3531, 13.4156, 7.1584,
+ 2591.50, 5.3748, 13.4741, 7.1804/
data (z(i),rho(i),vp(i),vs(i),i=61,70) /
+ 2640.00, 5.3962, 13.5311, 7.2031,
+ 2690.00, 5.4176, 13.5899, 7.2253,
+ 2740.00, 5.4387, 13.6498, 7.2485,
+ 2740.00, 5.6934, 13.6498, 7.2485,
+ 2789.67, 5.7196, 13.6533, 7.2593,
+ 2839.33, 5.7458, 13.6570, 7.2700,
+ 2891.50, 5.7721, 13.6601, 7.2817,
+ 2891.50, 9.9145, 8.0000, 0.0000,
+ 2939.33, 9.9942, 8.0382, 0.0000,
+ 2989.66, 10.0722, 8.1283, 0.0000/
data (z(i),rho(i),vp(i),vs(i),i=71,80) /
+ 3039.99, 10.1485, 8.2213, 0.0000,
+ 3090.32, 10.2233, 8.3122, 0.0000,
+ 3140.66, 10.2964, 8.4001, 0.0000,
+ 3190.99, 10.3679, 8.4861, 0.0000,
+ 3241.32, 10.4378, 8.5692, 0.0000,
+ 3291.65, 10.5062, 8.6496, 0.0000,
+ 3341.98, 10.5731, 8.7283, 0.0000,
+ 3392.31, 10.6385, 8.8036, 0.0000,
+ 3442.64, 10.7023, 8.8761, 0.0000,
+ 3492.97, 10.7647, 8.9461, 0.0000/
data (z(i),rho(i),vp(i),vs(i),i=81,90) /
+ 3543.30, 10.8257, 9.0138, 0.0000,
+ 3593.64, 10.8852, 9.0792, 0.0000,
+ 3643.97, 10.9434, 9.1426, 0.0000,
+ 3694.30, 11.0001, 9.2042, 0.0000,
+ 3744.63, 11.0555, 9.2634, 0.0000,
+ 3794.96, 11.1095, 9.3205, 0.0000,
+ 3845.29, 11.1623, 9.3760, 0.0000,
+ 3895.62, 11.2137, 9.4297, 0.0000,
+ 3945.95, 11.2639, 9.4814, 0.0000,
+ 3996.28, 11.3127, 9.5306, 0.0000/
data (z(i),rho(i),vp(i),vs(i),i=91,100) /
+ 4046.62, 11.3604, 9.5777, 0.0000,
+ 4096.95, 11.4069, 9.6232, 0.0000,
+ 4147.28, 11.4521, 9.6673, 0.0000,
+ 4197.61, 11.4962, 9.7100, 0.0000,
+ 4247.94, 11.5391, 9.7513, 0.0000,
+ 4298.27, 11.5809, 9.7914, 0.0000,
+ 4348.60, 11.6216, 9.8304, 0.0000,
+ 4398.93, 11.6612, 9.8682, 0.0000,
+ 4449.26, 11.6998, 9.9051, 0.0000,
+ 4499.60, 11.7373, 9.9410, 0.0000/
data (z(i),rho(i),vp(i),vs(i),i=101,110) /
+ 4549.93, 11.7737, 9.9761, 0.0000,
+ 4600.26, 11.8092, 10.0103, 0.0000,
+ 4650.59, 11.8437, 10.0439, 0.0000,
+ 4700.92, 11.8772, 10.0768, 0.0000,
+ 4751.25, 11.9098, 10.1095, 0.0000,
+ 4801.58, 11.9414, 10.1415, 0.0000,
+ 4851.91, 11.9722, 10.1739, 0.0000,
+ 4902.24, 12.0001, 10.2049, 0.0000,
+ 4952.58, 12.0311, 10.2329, 0.0000,
+ 5002.91, 12.0593, 10.2565, 0.0000/
data (z(i),rho(i),vp(i),vs(i),i=111,120) /
+ 5053.24, 12.0867, 10.2745, 0.0000,
+ 5103.57, 12.1133, 10.2854, 0.0000,
+ 5153.50, 12.1391, 10.2890, 0.0000,
+ 5153.50, 12.7037, 11.0427, 3.5043,
+ 5204.61, 12.7289, 11.0585, 3.5187,
+ 5255.32, 12.7530, 11.0718, 3.5314,
+ 5306.04, 12.7760, 11.0850, 3.5435,
+ 5356.75, 12.7980, 11.0983, 3.5551,
+ 5407.46, 12.8188, 11.1166, 3.5661,
+ 5458.17, 12.8387, 11.1316, 3.5765/
data (z(i),rho(i),vp(i),vs(i),i=121,130) /
+ 5508.89, 12.8574, 11.1457, 3.5864,
+ 5559.60, 12.8751, 11.1590, 3.5957,
+ 5610.31, 12.8917, 11.1715, 3.6044,
+ 5661.02, 12.9072, 11.1832, 3.6126,
+ 5711.74, 12.9217, 11.1941, 3.6202,
+ 5762.45, 12.9351, 11.2041, 3.6272,
+ 5813.16, 12.9474, 11.2134, 3.6337,
+ 5863.87, 12.9586, 11.2219, 3.6396,
+ 5914.59, 12.9688, 11.2295, 3.6450,
+ 5965.30, 12.9779, 11.2364, 3.6498/
data (z(i),rho(i),vp(i),vs(i),i=131,138) /
+ 6016.01, 12.9859, 11.2424, 3.6540,
+ 6066.72, 12.9929, 11.2477, 3.6577,
+ 6117.44, 12.9988, 11.2521, 3.6608,
+ 6168.15, 13.0036, 11.2557, 3.6633,
+ 6218.86, 13.0074, 11.2586, 3.6653,
+ 6269.57, 13.0100, 11.2606, 3.6667,
+ 6320.29, 13.0117, 11.2618, 3.6675,
+ 6371.00, 13.0122, 11.2622, 3.6678/
pp = interp(z,vp,nz,1,pz,err)
ps = interp(z,vs,nz,1,pz,err)
prho = interp(z,rho,nz,1,pz,err)
end
real function interp(xa,ya,n,npts,x,err)
C Function to interpolate between tabulated values. The function
C returns the interpolated result, plus an error. A number of
C points to either side of the desired value is given as an argument.
C This value should be as small as feasible, since large values cause
C more variation in the interpolated result.
real xa(n), ya(n), x, value, err
C Run through tables and bracket value requested. Interpolate
C with a more limited number of points.
if (xa(1) .lt. xa(n)) then
ilo = 1
ihi = n
else
ilo = n
ihi = 1
endif
10 continue
i = (ihi + ilo)/2
if (x .eq. xa(i)) then
interp = ya(i)
err = 0.0
return
endif
if (x .lt. xa(i)) then
ihi = i
else
ilo = i
endif
if (abs(ihi - ilo) .gt. 1) go to 10
if (ihi .lt. ilo) then
i = ihi
ihi = ilo
ilo = i
endif
C Have desired value bracketed. Adjust bounds and interpolate.
j = max(1,ilo-npts+1)
k = min(n,ihi+npts-1)
if (k-j+1 .ne. 2*npts) then
if (j .eq. 1) then
k=min(j+2*npts-1,n)
else
j=max(1,k-2*npts+1)
endif
endif
call polint(xa(j),ya(j),k-j+1,x,value,err)
interp = value
return
end
SUBROUTINE POLINT(XA,YA,N,X,Y,DY)
PARAMETER (NMAX=25)
DIMENSION XA(N),YA(N),C(NMAX),D(NMAX)
IF (N .GT. NMAX) STOP '**POLINT: TOO MUCH DATA.'
NS=1
DIF=ABS(X-XA(1))
DO 11 I=1,N
DIFT=ABS(X-XA(I))
IF (DIFT.LT.DIF) THEN
NS=I
DIF=DIFT
ENDIF
C(I)=YA(I)
D(I)=YA(I)
11 CONTINUE
Y=YA(NS)
NS=NS-1
DO 13 M=1,N-1
DO 12 I=1,N-M
HO=XA(I)-X
HP=XA(I+M)-X
W=C(I+1)-D(I)
DEN=HO-HP
IF(DEN.EQ.0.)STOP '**POLINT: IMPOSSIBLE!'
DEN=W/DEN
D(I)=HP*DEN
C(I)=HO*DEN
12 CONTINUE
IF (2*NS.LT.N-M)THEN
DY=C(NS+1)
ELSE
DY=D(NS)
NS=NS-1
ENDIF
Y=Y+DY
13 CONTINUE
RETURN
END