def stochastic_simulation(home,
project_name,
rupture_name,
sta,
sta_lon,
sta_lat,
component,
model_name,
rise_time_depths,
moho_depth_in_km,
total_duration=100,
hf_dt=0.01,
stress_parameter=50,
kappa=0.04,
Qexp=0.6,
Pwave=False,
Swave=True,
high_stress_depth=1e4):
'''
Run stochastic HF sims
stress parameter is in bars
'''
from numpy import genfromtxt, pi, logspace, log10, mean, where, exp, arange, zeros, argmin, rad2deg, arctan2, real
from pyproj import Geod
from obspy.geodetics import kilometer2degrees
from obspy.taup import TauPyModel
from mudpy.forward import get_mu, write_fakequakes_hf_waveforms_one_by_one, read_fakequakes_hypo_time
from obspy import Stream, Trace
from sys import stdout
import warnings
#print out what's going on:
out = '''Running with input parameters:
home = %s
project_name = %s
rupture_name = %s
sta = %s
sta_lon = %s
sta_lat = %s
model_name = %s
rise_time_depths = %s
moho_depth_in_km = %s
total_duration = %s
hf_dt = %s
stress_parameter = %s
kappa = %s
Qexp = %s
component = %s
Pwave = %s
Swave = %s
high_stress_depth = %s
''' % (home, project_name, rupture_name, sta, str(sta_lon), str(sta_lat),
model_name, str(rise_time_depths), str(moho_depth_in_km),
str(total_duration), str(hf_dt), str(stress_parameter), str(kappa),
str(Qexp), str(component), str(Pwave), str(Swave),
str(high_stress_depth))
print(out)
# rupture=rupture_name.split('.')[0]+'.'+rupture_name.split('.')[1]
# log=home+project_name+'/output/waveforms/'+rupture+'/'+sta+'.HN'+component+'.1cpu.log'
# logfile=open(log,'w')
# logfile.write(out)
#print 'stress is '+str(stress_parameter)
#I don't condone it but this cleans up the warnings
warnings.filterwarnings("ignore")
#Load the source
fault = genfromtxt(home + project_name + '/output/ruptures/' +
rupture_name)
#Onset times for each subfault
onset_times = fault[:, 12]
#load velocity structure
structure = genfromtxt(home + project_name + '/structure/' + model_name)
#Frequencies vector
f = logspace(log10(hf_dt), log10(1 / (2 * hf_dt)) + 0.01, 50)
omega = 2 * pi * f
#Output time vector (0 is origin time)
t = arange(0, total_duration, hf_dt)
#Projection object for distance calculations
g = Geod(ellps='WGS84')
#Create taup velocity model object, paste on top of iaspei91
#taup_create.build_taup_model(home+project_name+'/structure/bbp_norcal.tvel',output_folder=home+project_name+'/structure/')
velmod = TauPyModel(model=home + project_name + '/structure/iquique',
verbose=True)
#Get epicentral time
epicenter, time_epi = read_fakequakes_hypo_time(home, project_name,
rupture_name)
#Moments
slip = (fault[:, 8]**2 + fault[:, 9]**2)**0.5
subfault_M0 = slip * fault[:, 10] * fault[:, 11] * fault[:, 13]
subfault_M0 = subfault_M0 * 1e7 #to dyne-cm
M0 = subfault_M0.sum()
relative_subfault_M0 = subfault_M0 / M0
Mw = (2. / 3) * (log10(M0 * 1e-7) - 9.1)
#Corner frequency scaling
i = where(slip > 0)[0] #Non-zero faults
N = len(i) #number of subfaults
dl = mean((fault[:, 10] + fault[:, 11]) / 2) #predominant length scale
dl = dl / 1000 # to km
#Tau=p perturbation
tau_perturb = 0.1
#Deep faults receive a higher stress
stress_multiplier = 3
print('... working on ' + component +
' component semistochastic waveform for station ' + sta)
#initalize output seismogram
tr = Trace()
tr.stats.station = sta
tr.stats.delta = hf_dt
tr.stats.starttime = time_epi
#info for sac header (added at the end)
az, backaz, dist_m = g.inv(epicenter[0], epicenter[1], sta_lon, sta_lat)
dist_in_km = dist_m / 1000.
hf = zeros(len(t))
# out='''Parameters before we get into subfault calculations:
# rupture_name = %s
# epicenter = %s
# time_epi = %s
# M0 = %E
# Mw = %10.4f
# Num_Subfaults = %i
# dl = %.2f
# Dist_in_km = %10.4f
# '''%(rupture_name,str(epicenter),str(time_epi),M0,Mw,int(N),dl,dist_in_km)
# print out
# logfile.write(out)
#Loop over subfaults
# earliestP=1e10 #something outrageously high
# earliestP_kfault=1e10
for kfault in range(len(fault)):
#Print status to screen
if kfault % 150 == 0:
if kfault == 0:
stdout.write(' [')
stdout.flush()
stdout.write('.')
stdout.flush()
if kfault == len(fault) - 1:
stdout.write(']\n')
stdout.flush()
#Include only subfaults with non-zero slip
if subfault_M0[kfault] > 0:
#Get subfault to station distance
lon_source = fault[kfault, 1]
lat_source = fault[kfault, 2]
azimuth, baz, dist = g.inv(lon_source, lat_source, sta_lon,
sta_lat)
dist_in_degs = kilometer2degrees(dist / 1000.)
#Source depth?
z_source = fault[kfault, 3]
#No change
stress = stress_parameter
#Is subfault in an SMGA?
#radius_in_km=15.0
#smga_center_lon=-69.709200
#smga_center_lat=-19.683600
#in_smga=is_subfault_in_smga(lon_source,lat_source,smga_center_lon,smga_center_lat,radius_in_km)
#
###Apply multiplier?
#if in_smga==True:
# stress=stress_parameter*stress_multiplier
# print "%.4f,%.4f is in SMGA, stress is %d" % (lon_source,lat_source,stress)
#else:
# stress=stress_parameter
#Apply multiplier?
#if slip[kfault]>7.5:
# stress=stress_parameter*stress_multiplier
##elif lon_source>-72.057 and lon_source<-71.2 and lat_source>-30.28:
## stress=stress_parameter*stress_multiplier
#else:
# stress=stress_parameter
#Apply multiplier?
#if z_source>high_stress_depth:
# stress=stress_parameter*stress_multiplier
#else:
# stress=stress_parameter
# Frankel 95 scaling of corner frequency #verified this looks the same in GP
# Right now this applies the same factor to all faults
fc_scale = (M0) / (N * stress * dl**3 * 1e21) #Frankel scaling
small_event_M0 = stress * dl**3 * 1e21
#Get rho, alpha, beta at subfault depth
zs = fault[kfault, 3]
mu, alpha, beta = get_mu(structure, zs, return_speeds=True)
rho = mu / beta**2
#Get radiation scale factor
Spartition = 1 / 2**0.5
if component == 'N':
component_angle = 0
elif component == 'E':
component_angle = 90
rho = rho / 1000 #to g/cm**3
beta = (beta / 1000) * 1e5 #to cm/s
alpha = (alpha / 1000) * 1e5
#Verified this produces same value as in GP
CS = (2 * Spartition) / (4 * pi * (rho) * (beta**3))
CP = 2 / (4 * pi * (rho) * (alpha**3))
#Get local subfault rupture speed
beta = beta / 100 #to m/s
vr = get_local_rupture_speed(zs, beta, rise_time_depths)
vr = vr / 1000 #to km/s
dip_factor = get_dip_factor(fault[kfault, 5], fault[kfault, 8],
fault[kfault, 9])
#Subfault corner frequency
c0 = 2.0 #GP2015 value
fc_subfault = (c0 * vr) / (dip_factor * pi * dl)
#get subfault source spectrum
#S=((relative_subfault_M0[kfault]*M0/N)*f**2)/(1+fc_scale*(f/fc_subfault)**2)
S = small_event_M0 * (omega**2 / (1 + (f / fc_subfault)**2))
frankel_conv_operator = fc_scale * (
(fc_subfault**2 + f**2) / (fc_subfault**2 + fc_scale * f**2))
S = S * frankel_conv_operator
#get high frequency decay
P = exp(-pi * kappa * f)
# if kfault==0:
# out='''Parameters within subfault calculations:
# kfault_lon = %10.4f
# kfault_lat = %10.4f
# CS = %s
# CP = %s
# S[0] = %s
# frankel_conv_operator[0] = %s
# '''%(fault[kfault,1],fault[kfault,2],str(CS),str(CP),str(S[0]),str(frankel_conv_operator[0]))
# print out
# logfile.write(out)
#Get other geometric parameters necessar for radiation pattern
strike = fault[kfault, 4]
dip = fault[kfault, 5]
ss = fault[kfault, 8]
ds = fault[kfault, 9]
rake = rad2deg(arctan2(ds, ss))
#Get ray paths for all direct P arrivals
Ppaths = velmod.get_ray_paths(zs,
dist_in_degs,
phase_list=['P', 'p'])
#Get ray paths for all direct S arrivals
try:
Spaths = velmod.get_ray_paths(zs,
dist_in_degs,
phase_list=['S', 's'])
except:
Spaths = velmod.get_ray_paths(zs + tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
#sometimes there's no S, weird I know. Check twice.
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs + tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs + 5 * tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs - 5 * tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs + 5 * tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs - 10 * tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs + 10 * tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs - 50 * tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs + 50 * tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs - 75 * tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
Spaths = velmod.get_ray_paths(zs + 75 * tau_perturb,
dist_in_degs,
phase_list=['S', 's'])
if len(Spaths) == 0:
print(
'ERROR: I give up, no direct S in spite of multiple attempts at subfault '
+ str(kfault))
#Get direct s path and moho reflection
mohoS = None
directS = Spaths[0]
directP = Ppaths[0]
#print len(Spaths)
if len(Spaths) == 1: #only direct S
pass
else:
#turn_depth=zeros(len(Spaths)-1) #turning depth of other non-direct rays
#for k in range(1,len(Spaths)):
# turn_depth[k-1]=Spaths[k].path['depth'].max()
##If there's a ray that turns within 2km of Moho, callt hat guy the Moho reflection
#deltaz=abs(turn_depth-moho_depth_in_km)
#i=argmin(deltaz)
#if deltaz[i]<2: #Yes, this is a moho reflection
# mohoS=Spaths[i+1]
#else:
# mohoS=None
mohoS = Spaths[-1]
####### Build Direct P ray ######
if Pwave == True:
take_off_angle_P = directP.takeoff_angle
#Get attenuation due to geometrical spreading (from the path length)
path_length_P = get_path_length(directP, zs, dist_in_degs)
path_length_P = path_length_P * 100 #to cm
#Get effect of intrinsic attenuation for that ray (path integrated)
Q_P = get_attenuation(f, structure, directP, Qexp, Qtype='P')
#get quarter wavelength amplificationf actors
# pass rho in kg/m^3 (this units nightmare is what I get for following Graves' code)
I_P = get_amplification_factors(f, structure, zs, alpha,
rho * 1000)
#Build the entire path term
G_P = (I_P * Q_P) / path_length_P
#Get conically averaged radiation pattern terms
RP = conically_avg_P_radiation_pattern(strike, dip, rake,
azimuth,
take_off_angle_P)
RP = abs(RP)
#Get partition of Pwave into Z and N,E components
incidence_angle = directP.incident_angle
Npartition, Epartition, Zpartition = get_P_wave_partition(
incidence_angle, azimuth)
if component == 'Z':
Ppartition = Zpartition
elif component == 'N':
Ppartition = Npartition
else:
Ppartition = Epartition
#And finally multiply everything together to get the subfault amplitude spectrum
AP = CP * S * G_P * P * RP * Ppartition
#Generate windowed time series
duration = 1. / fc_subfault + 0.09 * (dist / 1000)
w = windowed_gaussian(duration,
hf_dt,
window_type='saragoni_hart')
#Go to frequency domain, apply amplitude spectrum and ifft for final time series
hf_seis_P = apply_spectrum(w, AP, f, hf_dt)
#What time after OT should this time series start at?
time_insert = directP.path['time'][-1] + onset_times[kfault]
# if directP.time+onset_times[kfault] < earliestP:
# earliestP=directP.time+onset_times[kfault]
# earliestP_kfault=kfault
i = argmin(abs(t - time_insert))
j = i + len(hf_seis_P)
#Check seismogram doesn't go past last sample
if i < len(
hf
) - 1: #if i (the beginning of the seimogram) is less than the length
if j > len(
hf
): #seismogram goes past total_duration length, trim it
len_paste = len(hf) - i
j = len(hf)
#Add seismogram
hf[i:j] = hf[i:j] + real(hf_seis_P[0:len_paste])
else: #Lengths are fine
hf[i:j] = hf[i:j] + real(hf_seis_P)
else: #Seismogram starts after end of available space
pass
####### Build Direct S ray ######
if Swave == True:
take_off_angle_S = directS.takeoff_angle
#Get attenuation due to geometrical spreading (from the path length)
path_length_S = get_path_length(directS, zs, dist_in_degs)
path_length_S = path_length_S * 100 #to cm
#Get effect of intrinsic aptimeenuation for that ray (path integrated)
Q_S = get_attenuation(f, structure, directS, Qexp)
#get quarter wavelength amplificationf actors
# pass rho in kg/m^3 (this units nightmare is what I get for following Graves' code)
I_S = get_amplification_factors(f, structure, zs, beta,
rho * 1000)
#Build the entire path term
G_S = (I_S * Q_S) / path_length_S
#Get conically averaged radiation pattern terms
if component == 'Z':
RP_vert = conically_avg_vert_radiation_pattern(
strike, dip, rake, azimuth, take_off_angle_S)
#And finally multiply everything together to get the subfault amplitude spectrum
AS = CS * S * G_S * P * RP_vert
else:
RP = conically_avg_radiation_pattern(
strike, dip, rake, azimuth, take_off_angle_S,
component_angle)
RP = abs(RP)
#And finally multiply everything together to get the subfault amplitude spectrum
AS = CS * S * G_S * P * RP
#Generate windowed time series
duration = 1. / fc_subfault + 0.063 * (dist / 1000)
w = windowed_gaussian(duration,
hf_dt,
window_type='saragoni_hart')
#w=windowed_gaussian(3*duration,hf_dt,window_type='cua',ptime=Ppaths[0].path['time'][-1],stime=Spaths[0].path['time'][-1])
#Go to frequency domain, apply amplitude spectrum and ifft for final time series
hf_seis_S = apply_spectrum(w, AS, f, hf_dt)
#What time after OT should this time series start at?
time_insert = directS.path['time'][-1] + onset_times[kfault]
#print 'ts = '+str(time_insert)+' , Td = '+str(duration)
#time_insert=Ppaths[0].path['time'][-1]
i = argmin(abs(t - time_insert))
j = i + len(hf_seis_S)
#Check seismogram doesn't go past last sample
if i < len(
hf
) - 1: #if i (the beginning of the seimogram) is less than the length
if j > len(
hf
): #seismogram goes past total_duration length, trim it
len_paste = len(hf) - i
j = len(hf)
#Add seismogram
hf[i:j] = hf[i:j] + real(hf_seis_S[0:len_paste])
else: #Lengths are fine
hf[i:j] = hf[i:j] + real(hf_seis_S)
else: #Beginning of seismogram is past end of available space
pass
####### Build Moho reflected S ray ######
# if mohoS==None:
# pass
# else:
# if kfault%100==0:
# print '... ... building Moho reflected S wave'
# take_off_angle_mS=mohoS.takeoff_angle
#
# #Get attenuation due to geometrical spreading (from the path length)
# path_length_mS=get_path_length(mohoS,zs,dist_in_degs)
# path_length_mS=path_length_mS*100 #to cm
#
# #Get effect of intrinsic aptimeenuation for that ray (path integrated)
# Q_mS=get_attenuation(f,structure,mohoS,Qexp)
#
# #Build the entire path term
# G_mS=(I*Q_mS)/path_length_mS
#
# #Get conically averaged radiation pattern terms
# if component=='Z':
# RP_vert=conically_avg_vert_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_mS)
# #And finally multiply everything together to get the subfault amplitude spectrum
# A=C*S*G_mS*P*RP_vert
# else:
# RP=conically_avg_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_mS,component_angle)
# RP=abs(RP)
# #And finally multiply everything together to get the subfault amplitude spectrum
# A=C*S*G_mS*P*RP
#
# #Generate windowed time series
# duration=1./fc_subfault+0.063*(dist/1000)
# w=windowed_gaussian(duration,hf_dt,window_type='saragoni_hart')
# #w=windowed_gaussian(3*duration,hf_dt,window_type='cua',ptime=Ppaths[0].path['time'][-1],stime=Spaths[0].path['time'][-1])
#
# #Go to frequency domain, apply amplitude spectrum and ifft for final time series
# hf_seis=apply_spectrum(w,A,f,hf_dt)
#
# #What time after OT should this time series start at?
# time_insert=mohoS.path['time'][-1]+onset_times[kfault]
# #print 'ts = '+str(time_insert)+' , Td = '+str(duration)
# #time_insert=Ppaths[0].path['time'][-1]
# i=argmin(abs(t-time_insert))
# j=i+len(hf_seis)
#
# #Add seismogram
# hf[i:j]=hf[i:j]+hf_seis
#
# #Done, reset
# mohoS=None
# if kfault==0:
# out=''' More:
# fc_scale = %10.4f
# subfaultM0 = %E
# mu = %E
# CS = %E
# CP = %E
# vr = %10.4f
# dip_factor = %10.4f
# fc_subfault = %10.4f
# directS = %s
# directP = %s
# '''%(fc_scale,subfault_M0[kfault],mu,CS,CP,vr,dip_factor,fc_subfault,str(directS.time),str(directP.time))
# print out
# logfile.write(out)
# logfile.close()
#Done
tr.data = hf / 100 #convert to m/s**2
#Add station location, event location, and first P-wave arrival time to SAC header
tr.stats.update({
'sac': {
'stlo': sta_lon,
'stla': sta_lat,
'evlo': epicenter[0],
'evla': epicenter[1],
'evdp': epicenter[2],
'dist': dist_in_km,
'az': az,
'baz': backaz,
'mag': Mw
}
}) #,'idep':"ACC (m/s^2)" not sure why idep won't work
#Return trace for writing to file
# print "Earliest P wave Comes at " + str(earliestP) + "after OT, from location " + str(fault[earliestP_kfault,1]) + ", " + str(fault[earliestP_kfault,2]) + ", " +str(fault[earliestP_kfault,3])
return tr
def run_parallel_hfsims(home,project_name,rupture_name,N,M0,sta,sta_lon,sta_lat,component,model_name,
rise_time_depths0,rise_time_depths1,moho_depth_in_km,total_duration,
hf_dt,stress_parameter,kappa,Qexp,Pwave,Swave,high_stress_depth,
Qmethod,scattering,Qc_exp,baseline_Qc,rank,size):
'''
Run stochastic HF sims
stress parameter is in bars
'''
from numpy import genfromtxt,pi,logspace,log10,mean,where,exp,arange,zeros,argmin,rad2deg,arctan2,real,savetxt,c_
from pyproj import Geod
from obspy.geodetics import kilometer2degrees
from obspy.taup import TauPyModel
from mudpy.forward import get_mu, read_fakequakes_hypo_time
from mudpy import hfsims
from obspy import Stream,Trace
from sys import stdout
from os import path,makedirs
from mudpy.hfsims import is_subfault_in_smga
import warnings
rank=int(rank)
if rank==0 and component=='N':
#print out what's going on:
out='''Running with input parameters:
home = %s
project_name = %s
rupture_name = %s
N = %s
M0 (N-m) = %s
sta = %s
sta_lon = %s
sta_lat = %s
model_name = %s
rise_time_depths = %s
moho_depth_in_km = %s
total_duration = %s
hf_dt = %s
stress_parameter = %s
kappa = %s
Qexp = %s
component = %s
Pwave = %s
Swave = %s
high_stress_depth = %s
Qmethod = %s
scattering = %s
Qc_exp = %s
baseline_Qc = %s
'''%(home,project_name,rupture_name,str(N),str(M0/1e7),sta,str(sta_lon),str(sta_lat),model_name,str([rise_time_depths0,rise_time_depths1]),
str(moho_depth_in_km),str(total_duration),str(hf_dt),str(stress_parameter),str(kappa),str(Qexp),str(component),str(Pwave),str(Swave),
str(high_stress_depth),str(Qmethod),str(scattering),str(Qc_exp),str(baseline_Qc))
print(out)
if rank==0:
out='''
Rupture_Name = %s
Station = %s
Component (N,E,Z) = %s
Sample rate = %sHz
Duration = %ss
'''%(rupture_name,sta,component,str(1/hf_dt),str(total_duration))
print(out)
#print 'stress is '+str(stress_parameter)
#I don't condone it but this cleans up the warnings
warnings.filterwarnings("ignore")
#Fix input formats:
rise_time_depths=[rise_time_depths0,rise_time_depths1]
#Load the source
mpi_rupt=home+project_name+'/output/ruptures/mpi_rupt.'+str(rank)+'.'+rupture_name
fault=genfromtxt(mpi_rupt)
#Onset times for each subfault
onset_times=fault[:,12]
#load velocity structure
structure=genfromtxt(home+project_name+'/structure/'+model_name)
#Frequencies vector
f=logspace(log10(1/total_duration),log10(1/(2*hf_dt))+0.01,100)
omega=2*pi*f
#Output time vector (0 is origin time)
t=arange(0,total_duration,hf_dt)
#Projection object for distance calculations
g=Geod(ellps='WGS84')
#Create taup velocity model object, paste on top of iaspei91
#taup_create.build_taup_model(home+project_name+'/structure/bbp_norcal.tvel',output_folder=home+project_name+'/structure/')
# velmod=TauPyModel(model=home+project_name+'/structure/iquique',verbose=True)
velmod = TauPyModel(model=home+project_name+'/structure/'+model_name.split('.')[0]+'.npz')
#Get epicentral time
epicenter,time_epi=read_fakequakes_hypo_time(home,project_name,rupture_name)
#Moments
slip=(fault[:,8]**2+fault[:,9]**2)**0.5
subfault_M0=slip*fault[:,10]*fault[:,11]*fault[:,13]
subfault_M0=subfault_M0*1e7 #to dyne-cm
relative_subfault_M0=subfault_M0/M0
Mw=(2./3)*(log10(M0*1e-7)-9.1)
#Corner frequency scaling
i=where(slip>0)[0] #Non-zero faults
dl=mean((fault[:,10]+fault[:,11])/2) #predominant length scale
dl=dl/1000 # to km
#Tau=p perturbation
tau_perturb=0.1
#Deep faults receive a higher stress
stress_multiplier=1
#initalize output seismogram
tr=Trace()
tr.stats.station=sta
tr.stats.delta=hf_dt
tr.stats.starttime=time_epi
#info for sac header (added at the end)
az,backaz,dist_m=g.inv(epicenter[0],epicenter[1],sta_lon,sta_lat)
dist_in_km=dist_m/1000.
hf=zeros(len(t))
#Loop over subfaults
for kfault in range(len(fault)):
if rank==0:
#Print status to screen
if kfault % 25 == 0:
if kfault==0:
stdout.write(' [.')
stdout.flush()
stdout.write('.')
stdout.flush()
if kfault==len(fault)-1:
stdout.write('.]\n')
stdout.flush()
#Include only subfaults with non-zero slip
if subfault_M0[kfault]>0:
#Get subfault to station distance
lon_source=fault[kfault,1]
lat_source=fault[kfault,2]
azimuth,baz,dist=g.inv(lon_source,lat_source,sta_lon,sta_lat)
dist_in_degs=kilometer2degrees(dist/1000.)
#Source depth?
z_source=fault[kfault,3]
#No change
stress=stress_parameter
#Is subfault in an SMGA?
#SMGA1
# radius_in_km=15.0
# smga_center_lon=-71.501
# smga_center_lat=-30.918
#SMGA2
# radius_in_km=15.0
# smga_center_lon=-71.863
# smga_center_lat=-30.759
#smga3
# radius_in_km=7.5
# smga_center_lon=-72.3923
# smga_center_lat=-30.58
#smga4
# radius_in_km=7.5
# smga_center_lon=-72.3923
# smga_center_lat=-30.61
# in_smga=is_subfault_in_smga(lon_source,lat_source,smga_center_lon,smga_center_lat,radius_in_km)
# ###Apply multiplier?
# if in_smga==True:
# stress=stress_parameter*stress_multiplier
# print("%.4f,%.4f is in SMGA, stress is %d" % (lon_source,lat_source,stress))
# else:
# stress=stress_parameter
#Apply multiplier?
#if slip[kfault]>7.5:
# stress=stress_parameter*stress_multiplier
##elif lon_source>-72.057 and lon_source<-71.2 and lat_source>-30.28:
## stress=stress_parameter*stress_multiplier
#else:
# stress=stress_parameter
#Apply multiplier?
#if z_source>high_stress_depth:
# stress=stress_parameter*stress_multiplier
#else:
# stress=stress_parameter
# Frankel 95 scaling of corner frequency #verified this looks the same in GP
# Right now this applies the same factor to all faults
fc_scale=(M0)/(N*stress*dl**3*1e21) #Frankel scaling
small_event_M0 = stress*dl**3*1e21
#Get rho, alpha, beta at subfault depth
zs=fault[kfault,3]
mu,alpha,beta=get_mu(structure,zs,return_speeds=True)
rho=mu/beta**2
#Get radiation scale factor
Spartition=1/2**0.5
if component=='N' :
component_angle=0
elif component=='E':
component_angle=90
rho=rho/1000 #to g/cm**3
beta=(beta/1000)*1e5 #to cm/s
alpha=(alpha/1000)*1e5
# print('rho = '+str(rho))
# print('beta = '+str(beta))
# print('alpha = '+str(alpha))
#Verified this produces same value as in GP
CS=(2*Spartition)/(4*pi*(rho)*(beta**3))
CP=2/(4*pi*(rho)*(alpha**3))
#Get local subfault rupture speed
beta=beta/100 #to m/s
vr=hfsims.get_local_rupture_speed(zs,beta,rise_time_depths)
vr=vr/1000 #to km/s
dip_factor=hfsims.get_dip_factor(fault[kfault,5],fault[kfault,8],fault[kfault,9])
#Subfault corner frequency
c0=2.0 #GP2015 value
fc_subfault=(c0*vr)/(dip_factor*pi*dl)
#get subfault source spectrum
#S=((relative_subfault_M0[kfault]*M0/N)*f**2)/(1+fc_scale*(f/fc_subfault)**2)
S=small_event_M0*(omega**2/(1+(f/fc_subfault)**2))
frankel_conv_operator= fc_scale*((fc_subfault**2+f**2)/(fc_subfault**2+fc_scale*f**2))
S=S*frankel_conv_operator
#get high frequency decay
P=exp(-pi*kappa*f)
#Get other geometric parameters necessar for radiation pattern
strike=fault[kfault,4]
dip=fault[kfault,5]
ss=fault[kfault,8]
ds=fault[kfault,9]
rake=rad2deg(arctan2(ds,ss))
#Get ray paths for all direct P arrivals
Ppaths=velmod.get_ray_paths(zs,dist_in_degs,phase_list=['P','p'])
#Get ray paths for all direct S arrivals
try:
Spaths=velmod.get_ray_paths(zs,dist_in_degs,phase_list=['S','s'])
except:
Spaths=velmod.get_ray_paths(zs+tau_perturb,dist_in_degs,phase_list=['S','s'])
#sometimes there's no S, weird I know. Check twice.
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+5*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs-5*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+5*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs-10*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+10*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs-50*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+50*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs-75*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+75*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
print('ERROR: I give up, no direct S in spite of multiple attempts at subfault '+str(kfault))
#Which ray should I keep?
#This is the fastest arriving P
directP=Ppaths[0]
#Get moho depth from velmod
moho_depth = velmod.model.moho_depth
# In this method here are the rules:
#For S do not allow Moho turning rays, keep the fastest non Moho turning ray. If
#only Moho rays are available, then keep the one that turns the shallowest.
if Qmethod == 'no_moho':
#get turning depths and arrival times of S rays
turning_depths = zeros(len(Spaths))
S_ray_times = zeros(len(Spaths))
for kray in range(len(Spaths)):
turning_depths[kray] = Spaths[kray].path['depth'].max()
S_ray_times[kray] = Spaths[kray].path['time'].max()
#Keep only rays that turn above Moho
i=where(turning_depths < moho_depth)[0]
if len(i) == 0: #all rays turn below Moho, keep shallowest turning
i_min_depth = argmin(turning_depths)
directS = Spaths[i_min_depth]
else: #Keep fastest arriving ray that turns above Moho
Spaths = [Spaths[j] for j in i] #Rays turning above Moho, NOTE: I hate list comprehension
S_ray_times = S_ray_times[i]
i_min_time = argmin(S_ray_times)
directS = Spaths[i_min_time]
elif Qmethod =='shallowest':
#get turning depths and arrival times of S rays
turning_depths = zeros(len(Spaths))
for kray in range(len(Spaths)):
turning_depths[kray] = Spaths[kray].path['depth'].max()
i_min_depth = argmin(turning_depths)
directS = Spaths[i_min_depth]
elif Qmethod == 'fastest' or Qmethod=='direct': #Pick first arriving S wave
directS = Spaths[0]
#directS=Spaths[0] #this is the old way, kept fastest S
mohoS=None
# #print len(Spaths)
# if len(Spaths)==1: #only direct S
# pass
# else:
# #turn_depth=zeros(len(Spaths)-1) #turning depth of other non-direct rays
# #for k in range(1,len(Spaths)):
# # turn_depth[k-1]=Spaths[k].path['depth'].max()
# ##If there's a ray that turns within 2km of Moho, callt hat guy the Moho reflection
# #deltaz=abs(turn_depth-moho_depth_in_km)
# #i=argmin(deltaz)
# #if deltaz[i]<2: #Yes, this is a moho reflection
# # mohoS=Spaths[i+1]
# #else:
# # mohoS=None
# mohoS=Spaths[-1]
####### Build Direct P ray ######
if Pwave==True:
take_off_angle_P=directP.takeoff_angle
# #Get attenuation due to geometrical spreading (from the path length)
# path_length_P=hfsims.get_path_length(directP,zs,dist_in_degs)
# path_length_P=path_length_P*100 #to cm
# #Get effect of intrinsic attenuation for that ray (path integrated)
# #Q_P=hfsims.get_attenuation(f,structure,directP,Qexp,Qtype='P') <- This causes problems and I don't know why underlying assumptions might be bad
# Q_P=hfsims.get_attenuation(f,structure,directS,Qexp,Qtype='S')
# #get quarter wavelength amplificationf actors
# # pass rho in kg/m^3 (this units nightmare is what I get for following Graves' code)
# I_P=hfsims.get_amplification_factors(f,structure,zs,alpha,rho*1000)
# #Build the entire path term
# G_P=(I_P*Q_P)/path_length_P
#Get attenuation due to geometrical spreading (from the path length)
path_length_S=hfsims.get_path_length(directS,zs,dist_in_degs)
path_length_S=path_length_S*100 #to cm
#Get effect of intrinsic aptimeenuation for that ray (path integrated)
Q_S=hfsims.get_attenuation(f,structure,directS,Qexp)
#get quarter wavelength amplificationf actors
# pass rho in kg/m^3 (this units nightmare is what I get for following Graves' code)
I_S=hfsims.get_amplification_factors(f,structure,zs,beta,rho*1000)
#Build the entire path term
# G_S=(I_S*Q_S)/path_length_S
G_S=(1*Q_S)/path_length_S
#Get conically averaged radiation pattern terms
RP=hfsims.conically_avg_P_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_P)
RP=abs(RP)
#Get partition of Pwave into Z and N,E components
incidence_angle=directP.incident_angle
Npartition,Epartition,Zpartition=hfsims.get_P_wave_partition(incidence_angle,azimuth)
if component=='Z':
Ppartition=Zpartition
elif component=='N':
Ppartition=Npartition
else:
Ppartition=Epartition
#And finally multiply everything together to get the subfault amplitude spectrum
AP=CP*S*G_S*P*RP*Ppartition
#Generate windowed time series
duration=1./fc_subfault+0.09*(dist/1000)
w=hfsims.windowed_gaussian(duration,hf_dt,window_type='saragoni_hart')
#Go to frequency domain, apply amplitude spectrum and ifft for final time series
hf_seis_P=hfsims.apply_spectrum(w,AP,f,hf_dt)
#save thigns to check
# if sta=='AL2H':
# path_out = '/Users/dmelgarm/FakeQuakes/ONC_debug/analysis/frequency/Pwave/'
# path_out = path_out+str(kfault)
# # savetxt(path_out+'.all',c_[f,AP])
# # savetxt(path_out+'.source',c_[f,CP*S])
# # savetxt(path_out+'.path',c_[f,G_P])
# # savetxt(path_out+'.site',c_[f,P])
#What time after OT should this time series start at?
time_insert=directP.path['time'][-1]+onset_times[kfault]
i=argmin(abs(t-time_insert))
j=i+len(hf_seis_P)
#Check seismogram doesn't go past last sample
if i<len(hf)-1: #if i (the beginning of the seimogram) is less than the length
if j>len(hf): #seismogram goes past total_duration length, trim it
len_paste=len(hf)-i
j=len(hf)
#Add seismogram
hf[i:j]=hf[i:j]+real(hf_seis_P[0:len_paste])
else: #Lengths are fine
hf[i:j]=hf[i:j]+real(hf_seis_P)
else: #Seismogram starts after end of available space
pass
####### Build Direct S ray ######
if Swave==True:
take_off_angle_S=directS.takeoff_angle
#Get attenuation due to geometrical spreading (from the path length)
path_length_S=hfsims.get_path_length(directS,zs,dist_in_degs)
path_length_S=path_length_S*100 #to cm
#Get effect of intrinsic aptimeenuation for that ray (path integrated)
if Qmethod == 'direct':#No ray tracing use bulka ttenuation along path
Q_S = hfsims.get_attenuation_linear(f,structure,zs,dist,Qexp,Qtype='S')
else: #Use ray tracing
Q_S=hfsims.get_attenuation(f,structure,directS,Qexp,scattering=scattering,
Qc_exp=Qc_exp,baseline_Qc=baseline_Qc)
#get quarter wavelength amplificationf actors
# pass rho in kg/m^3 (this units nightmare is what I get for following Graves' code)
I_S=hfsims.get_amplification_factors(f,structure,zs,beta,rho*1000)
#Build the entire path term
G_S=(I_S*Q_S)/path_length_S
# G_S=(1*Q_S)/path_length_S
#Get conically averaged radiation pattern terms
if component=='Z':
RP_vert=hfsims.conically_avg_vert_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_S)
#And finally multiply everything together to get the subfault amplitude spectrum
AS=CS*S*G_S*P*RP_vert
# print('... RP_vert = '+str(RP_vert))
else:
RP=hfsims.conically_avg_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_S,component_angle)
RP=abs(RP)
# print('... RP_horiz = '+str(RP))
#And finally multiply everything together to get the subfault amplitude spectrum
AS=CS*S*G_S*P*RP
#Generate windowed time series
duration=1./fc_subfault+0.063*(dist/1000)
w=hfsims.windowed_gaussian(duration,hf_dt,window_type='saragoni_hart')
#w=windowed_gaussian(3*duration,hf_dt,window_type='cua',ptime=Ppaths[0].path['time'][-1],stime=Spaths[0].path['time'][-1])
#Go to frequency domain, apply amplitude spectrum and ifft for final time series
hf_seis_S=hfsims.apply_spectrum(w,AS,f,hf_dt)
#save thigns to check
# if sta=='AL2H':
# path_out = '/Users/dmelgarm/FakeQuakes/ONC_debug/analysis/frequency/Swave/'
# path_out = path_out+str(kfault)
# # savetxt(path_out+'.soverp',c_[f,(CS*S)/(CP*S)])
# savetxt(path_out+'.all',c_[f,AS])
# savetxt(path_out+'.source',c_[f,CS*S])
# savetxt(path_out+'.path',c_[f,G_S])
# savetxt(path_out+'.site',c_[f,P])
#What time after OT should this time series start at?
time_insert=directS.path['time'][-1]+onset_times[kfault]
#print 'ts = '+str(time_insert)+' , Td = '+str(duration)
#time_insert=Ppaths[0].path['time'][-1]
i=argmin(abs(t-time_insert))
j=i+len(hf_seis_S)
#Check seismogram doesn't go past last sample
if i<len(hf)-1: #if i (the beginning of the seimogram) is less than the length
if j>len(hf): #seismogram goes past total_duration length, trim it
len_paste=len(hf)-i
j=len(hf)
#Add seismogram
hf[i:j]=hf[i:j]+real(hf_seis_S[0:len_paste])
else: #Lengths are fine
hf[i:j]=hf[i:j]+real(hf_seis_S)
else: #Beginning of seismogram is past end of available space
pass
####### Build Moho reflected S ray ######
# if mohoS==None:
# pass
# else:
# if kfault%100==0:
# print '... ... building Moho reflected S wave'
# take_off_angle_mS=mohoS.takeoff_angle
#
# #Get attenuation due to geometrical spreading (from the path length)
# path_length_mS=get_path_length(mohoS,zs,dist_in_degs)
# path_length_mS=path_length_mS*100 #to cm
#
# #Get effect of intrinsic aptimeenuation for that ray (path integrated)
# Q_mS=get_attenuation(f,structure,mohoS,Qexp)
#
# #Build the entire path term
# G_mS=(I*Q_mS)/path_length_mS
#
# #Get conically averaged radiation pattern terms
# if component=='Z':
# RP_vert=conically_avg_vert_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_mS)
# #And finally multiply everything together to get the subfault amplitude spectrum
# A=C*S*G_mS*P*RP_vert
# else:
# RP=conically_avg_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_mS,component_angle)
# RP=abs(RP)
# #And finally multiply everything together to get the subfault amplitude spectrum
# A=C*S*G_mS*P*RP
#
# #Generate windowed time series
# duration=1./fc_subfault+0.063*(dist/1000)
# w=windowed_gaussian(duration,hf_dt,window_type='saragoni_hart')
# #w=windowed_gaussian(3*duration,hf_dt,window_type='cua',ptime=Ppaths[0].path['time'][-1],stime=Spaths[0].path['time'][-1])
#
# #Go to frequency domain, apply amplitude spectrum and ifft for final time series
# hf_seis=apply_spectrum(w,A,f,hf_dt)
#
# #What time after OT should this time series start at?
# time_insert=mohoS.path['time'][-1]+onset_times[kfault]
# #print 'ts = '+str(time_insert)+' , Td = '+str(duration)
# #time_insert=Ppaths[0].path['time'][-1]
# i=argmin(abs(t-time_insert))
# j=i+len(hf_seis)
#
# #Add seismogram
# hf[i:j]=hf[i:j]+hf_seis
#
# #Done, reset
# mohoS=None
#Done
tr.data=hf/100 #convert to m/s**2
#Add station location, event location, and first P-wave arrival time to SAC header
tr.stats.update({'sac':{'stlo':sta_lon,'stla':sta_lat,'evlo':epicenter[0],'evla':epicenter[1],'evdp':epicenter[2],'dist':dist_in_km,'az':az,'baz':backaz,'mag':Mw}}) #,'idep':"ACC (m/s^2)" not sure why idep won't work
#Write out to file
#old
rupture=rupture_name.split('.')[0]+'.'+rupture_name.split('.')[1]
#new
rupture=rupture_name.rsplit('.',1)[0]
if not path.exists(home+project_name+'/output/waveforms/'+rupture+'/'):
makedirs(home+project_name+'/output/waveforms/'+rupture+'/')
if rank < 10:
tr.write(home+project_name+'/output/waveforms/'+rupture+'/'+sta+'.HN'+component+'.00'+str(rank)+'.sac',format='SAC')
elif rank < 100:
tr.write(home+project_name+'/output/waveforms/'+rupture+'/'+sta+'.HN'+component+'.0'+str(rank)+'.sac',format='SAC')
else:
tr.write(home+project_name+'/output/waveforms/'+rupture+'/'+sta+'.HN'+component+'.'+str(rank)+'.sac',format='SAC')
def stochastic_simulation(home,project_name,rupture_name,sta,sta_lon,sta_lat,component,model_name,
rise_time_depths,moho_depth_in_km,total_duration=100,hf_dt=0.01,stress_parameter=50,
kappa=0.04,Qexp=0.6,Pwave=False,high_stress_depth=1e4):
'''
Run stochastic HF sims
stress parameter is in bars
'''
from numpy import genfromtxt,pi,logspace,log10,mean,where,exp,arange,zeros,argmin,rad2deg,arctan2,real
from pyproj import Geod
from obspy.geodetics import kilometer2degrees
from obspy.taup import TauPyModel
from mudpy.forward import get_mu, write_fakequakes_hf_waveforms_one_by_one,read_fakequakes_hypo_time
from obspy import Stream,Trace
from sys import stdout
import warnings
#print out what's going on:
out='''Running with input parameters:
home = %s
project_name = %s
rupture_name = %s
sta = %s
sta_lon = %s
sta_lat = %s
model_name = %s
rise_time_depths = %s
moho_depth_in_km = %s
total_duration = %s
hf_dt = %s
stress_parameter = %s
kappa = %s
Qexp = %s
component = %s
Pwave = %s
high_stress_depth = %s
'''%(home,project_name,rupture_name,sta,str(sta_lon),str(sta_lat),model_name,str(rise_time_depths),
str(moho_depth_in_km),str(total_duration),str(hf_dt),str(stress_parameter),
str(kappa),str(Qexp),str(component),str(Pwave),str(high_stress_depth))
print out
# rupture=rupture_name.split('.')[0]+'.'+rupture_name.split('.')[1]
# log=home+project_name+'/output/waveforms/'+rupture+'/'+sta+'.HN'+component+'.1cpu.log'
# logfile=open(log,'w')
# logfile.write(out)
#print 'stress is '+str(stress_parameter)
#I don't condone it but this cleans up the warnings
warnings.filterwarnings("ignore")
#Load the source
fault=genfromtxt(home+project_name+'/output/ruptures/'+rupture_name)
#Onset times for each subfault
onset_times=fault[:,12]
#load velocity structure
structure=genfromtxt(home+project_name+'/structure/'+model_name)
#Frequencies vector
f=logspace(log10(hf_dt),log10(1/(2*hf_dt))+0.01,50)
omega=2*pi*f
#Output time vector (0 is origin time)
t=arange(0,total_duration,hf_dt)
#Projection object for distance calculations
g=Geod(ellps='WGS84')
#Create taup velocity model object, paste on top of iaspei91
#taup_create.build_taup_model(home+project_name+'/structure/bbp_norcal.tvel',output_folder=home+project_name+'/structure/')
velmod=TauPyModel(model=home+project_name+'/structure/maule',verbose=True)
#Get epicentral time
epicenter,time_epi=read_fakequakes_hypo_time(home,project_name,rupture_name)
#Moments
slip=(fault[:,8]**2+fault[:,9]**2)**0.5
subfault_M0=slip*fault[:,10]*fault[:,11]*fault[:,13]
subfault_M0=subfault_M0*1e7 #to dyne-cm
M0=subfault_M0.sum()
relative_subfault_M0=subfault_M0/M0
Mw=(2./3)*(log10(M0*1e-7)-9.1)
#Corner frequency scaling
i=where(slip>0)[0] #Non-zero faults
N=len(i) #number of subfaults
dl=mean((fault[:,10]+fault[:,11])/2) #predominant length scale
dl=dl/1000 # to km
#Tau=p perturbation
tau_perturb=0.1
#Deep faults receive a higher stress
stress_multiplier=3
print '... working on '+component+' component semistochastic waveform for station '+sta
#initalize output seismogram
tr=Trace()
tr.stats.station=sta
tr.stats.delta=hf_dt
tr.stats.starttime=time_epi
#info for sac header (added at the end)
az,backaz,dist_m=g.inv(epicenter[0],epicenter[1],sta_lon,sta_lat)
dist_in_km=dist_m/1000.
hf=zeros(len(t))
# out='''Parameters before we get into subfault calculations:
# rupture_name = %s
# epicenter = %s
# time_epi = %s
# M0 = %E
# Mw = %10.4f
# Num_Subfaults = %i
# dl = %.2f
# Dist_in_km = %10.4f
# '''%(rupture_name,str(epicenter),str(time_epi),M0,Mw,int(N),dl,dist_in_km)
# print out
# logfile.write(out)
#Loop over subfaults
# earliestP=1e10 #something outrageously high
# earliestP_kfault=1e10
for kfault in range(len(fault)):
#Print status to screen
if kfault % 150 == 0:
if kfault==0:
stdout.write(' [')
stdout.flush()
stdout.write('.')
stdout.flush()
if kfault==len(fault)-1:
stdout.write(']\n')
stdout.flush()
#Include only subfaults with non-zero slip
if subfault_M0[kfault]>0:
#Get subfault to station distance
lon_source=fault[kfault,1]
lat_source=fault[kfault,2]
azimuth,baz,dist=g.inv(lon_source,lat_source,sta_lon,sta_lat)
dist_in_degs=kilometer2degrees(dist/1000.)
#Source depth?
z_source=fault[kfault,3]
#No change
stress=stress_parameter
#Is subfault in an SMGA?
#radius_in_km=15.0
#smga_center_lon=-69.709200
#smga_center_lat=-19.683600
#in_smga=is_subfault_in_smga(lon_source,lat_source,smga_center_lon,smga_center_lat,radius_in_km)
#
###Apply multiplier?
#if in_smga==True:
# stress=stress_parameter*stress_multiplier
# print "%.4f,%.4f is in SMGA, stress is %d" % (lon_source,lat_source,stress)
#else:
# stress=stress_parameter
#Apply multiplier?
#if slip[kfault]>7.5:
# stress=stress_parameter*stress_multiplier
##elif lon_source>-72.057 and lon_source<-71.2 and lat_source>-30.28:
## stress=stress_parameter*stress_multiplier
#else:
# stress=stress_parameter
#Apply multiplier?
#if z_source>high_stress_depth:
# stress=stress_parameter*stress_multiplier
#else:
# stress=stress_parameter
# Frankel 95 scaling of corner frequency #verified this looks the same in GP
# Right now this applies the same factor to all faults
fc_scale=(M0)/(N*stress*dl**3*1e21) #Frankel scaling
small_event_M0 = stress*dl**3*1e21
#Get rho, alpha, beta at subfault depth
zs=fault[kfault,3]
mu,alpha,beta=get_mu(structure,zs,return_speeds=True)
rho=mu/beta**2
#Get radiation scale factor
Spartition=1/2**0.5
if component=='N' :
component_angle=0
elif component=='E':
component_angle=90
rho=rho/1000 #to g/cm**3
beta=(beta/1000)*1e5 #to cm/s
alpha=(alpha/1000)*1e5
#Verified this produces same value as in GP
CS=(2*Spartition)/(4*pi*(rho)*(beta**3))
CP=2/(4*pi*(rho)*(alpha**3))
#Get local subfault rupture speed
beta=beta/100 #to m/s
vr=get_local_rupture_speed(zs,beta,rise_time_depths)
vr=vr/1000 #to km/s
dip_factor=get_dip_factor(fault[kfault,5],fault[kfault,8],fault[kfault,9])
#Subfault corner frequency
c0=2.0 #GP2015 value
fc_subfault=(c0*vr)/(dip_factor*pi*dl)
#get subfault source spectrum
#S=((relative_subfault_M0[kfault]*M0/N)*f**2)/(1+fc_scale*(f/fc_subfault)**2)
S=small_event_M0*(omega**2/(1+(f/fc_subfault)**2))
frankel_conv_operator= fc_scale*((fc_subfault**2+f**2)/(fc_subfault**2+fc_scale*f**2))
S=S*frankel_conv_operator
#get high frequency decay
P=exp(-pi*kappa*f)
#get quarter wavelength amplificationf actors
# pass rho in kg/m^3 (this units nightmare is what I get for following Graves' code)
I=get_amplification_factors(f,structure,zs,beta,rho*1000)
# if kfault==0:
# out='''Parameters within subfault calculations:
# kfault_lon = %10.4f
# kfault_lat = %10.4f
# CS = %s
# CP = %s
# S[0] = %s
# frankel_conv_operator[0] = %s
# '''%(fault[kfault,1],fault[kfault,2],str(CS),str(CP),str(S[0]),str(frankel_conv_operator[0]))
# print out
# logfile.write(out)
#Get other geometric parameters necessar for radiation pattern
strike=fault[kfault,4]
dip=fault[kfault,5]
ss=fault[kfault,8]
ds=fault[kfault,9]
rake=rad2deg(arctan2(ds,ss))
#Get ray paths for all direct P arrivals
Ppaths=velmod.get_ray_paths(zs,dist_in_degs,phase_list=['P','p'])
#Get ray paths for all direct S arrivals
try:
Spaths=velmod.get_ray_paths(zs,dist_in_degs,phase_list=['S','s'])
except:
Spaths=velmod.get_ray_paths(zs+tau_perturb,dist_in_degs,phase_list=['S','s'])
#sometimes there's no S, weird I know. Check twice.
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+5*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs-5*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+5*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs-10*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+10*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs-50*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+50*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs-75*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
Spaths=velmod.get_ray_paths(zs+75*tau_perturb,dist_in_degs,phase_list=['S','s'])
if len(Spaths)==0:
print 'ERROR: I give up, no direct S in spite of multiple attempts at subfault '+str(kfault)
#Get direct s path and moho reflection
mohoS=None
directS=Spaths[0]
directP=Ppaths[0]
#print len(Spaths)
if len(Spaths)==1: #only direct S
pass
else:
#turn_depth=zeros(len(Spaths)-1) #turning depth of other non-direct rays
#for k in range(1,len(Spaths)):
# turn_depth[k-1]=Spaths[k].path['depth'].max()
##If there's a ray that turns within 2km of Moho, callt hat guy the Moho reflection
#deltaz=abs(turn_depth-moho_depth_in_km)
#i=argmin(deltaz)
#if deltaz[i]<2: #Yes, this is a moho reflection
# mohoS=Spaths[i+1]
#else:
# mohoS=None
mohoS=Spaths[-1]
####### Build Direct P ray ######
if Pwave==True:
take_off_angle_P=directP.takeoff_angle
#Get attenuation due to geometrical spreading (from the path length)
path_length_P=get_path_length(directP,zs,dist_in_degs)
path_length_P=path_length_P*100 #to cm
#Get effect of intrinsic attenuation for that ray (path integrated)
Q_P=get_attenuation(f,structure,directS,Qexp,Qtype='P')
#Build the entire path term
G_P=(I*Q_P)/path_length_P
#Get conically averaged radiation pattern terms
RP=conically_avg_P_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_P)
RP=abs(RP)
#Get partition of Pwave into Z and N,E components
incidence_angle=directP.incident_angle
Npartition,Epartition,Zpartition=get_P_wave_partition(incidence_angle,azimuth)
if component=='Z':
Ppartition=Zpartition
elif component=='N':
Ppartition=Npartition
else:
Ppartition=Epartition
#And finally multiply everything together to get the subfault amplitude spectrum
AP=CP*S*G_P*P*RP*Ppartition
#Generate windowed time series
duration=1./fc_subfault+0.09*(dist/1000)
w=windowed_gaussian(duration,hf_dt,window_type='saragoni_hart')
#Go to frequency domain, apply amplitude spectrum and ifft for final time series
hf_seis_P=apply_spectrum(w,AP,f,hf_dt)
#What time after OT should this time series start at?
time_insert=directP.path['time'][-1]+onset_times[kfault]
# if directP.time+onset_times[kfault] < earliestP:
# earliestP=directP.time+onset_times[kfault]
# earliestP_kfault=kfault
i=argmin(abs(t-time_insert))
j=i+len(hf_seis_P)
#Check seismogram doesn't go past last sample
if i<len(hf)-1: #if i (the beginning of the seimogram) is less than the length
if j>len(hf): #seismogram goes past total_duration length, trim it
len_paste=len(hf)-i
j=len(hf)
#Add seismogram
hf[i:j]=hf[i:j]+real(hf_seis_P[0:len_paste])
else: #Lengths are fine
hf[i:j]=hf[i:j]+real(hf_seis_P)
else: #Seismogram starts after end of available space
pass
####### Build Direct S ray ######
take_off_angle_S=directS.takeoff_angle
#Get attenuation due to geometrical spreading (from the path length)
path_length_S=get_path_length(directS,zs,dist_in_degs)
path_length_S=path_length_S*100 #to cm
#Get effect of intrinsic aptimeenuation for that ray (path integrated)
Q_S=get_attenuation(f,structure,directS,Qexp)
#Build the entire path term
G_S=(I*Q_S)/path_length_S
#Get conically averaged radiation pattern terms
if component=='Z':
RP_vert=conically_avg_vert_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_S)
#And finally multiply everything together to get the subfault amplitude spectrum
AS=CS*S*G_S*P*RP_vert
else:
RP=conically_avg_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_S,component_angle)
RP=abs(RP)
#And finally multiply everything together to get the subfault amplitude spectrum
AS=CS*S*G_S*P*RP
#Generate windowed time series
duration=1./fc_subfault+0.063*(dist/1000)
w=windowed_gaussian(duration,hf_dt,window_type='saragoni_hart')
#w=windowed_gaussian(3*duration,hf_dt,window_type='cua',ptime=Ppaths[0].path['time'][-1],stime=Spaths[0].path['time'][-1])
#Go to frequency domain, apply amplitude spectrum and ifft for final time series
hf_seis_S=apply_spectrum(w,AS,f,hf_dt)
#What time after OT should this time series start at?
time_insert=directS.path['time'][-1]+onset_times[kfault]
#print 'ts = '+str(time_insert)+' , Td = '+str(duration)
#time_insert=Ppaths[0].path['time'][-1]
i=argmin(abs(t-time_insert))
j=i+len(hf_seis_S)
#Check seismogram doesn't go past last sample
if i<len(hf)-1: #if i (the beginning of the seimogram) is less than the length
if j>len(hf): #seismogram goes past total_duration length, trim it
len_paste=len(hf)-i
j=len(hf)
#Add seismogram
hf[i:j]=hf[i:j]+real(hf_seis_S[0:len_paste])
else: #Lengths are fine
hf[i:j]=hf[i:j]+real(hf_seis_S)
else: #Beginning of seismogram is past end of available space
pass
####### Build Moho reflected S ray ######
# if mohoS==None:
# pass
# else:
# if kfault%100==0:
# print '... ... building Moho reflected S wave'
# take_off_angle_mS=mohoS.takeoff_angle
#
# #Get attenuation due to geometrical spreading (from the path length)
# path_length_mS=get_path_length(mohoS,zs,dist_in_degs)
# path_length_mS=path_length_mS*100 #to cm
#
# #Get effect of intrinsic aptimeenuation for that ray (path integrated)
# Q_mS=get_attenuation(f,structure,mohoS,Qexp)
#
# #Build the entire path term
# G_mS=(I*Q_mS)/path_length_mS
#
# #Get conically averaged radiation pattern terms
# if component=='Z':
# RP_vert=conically_avg_vert_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_mS)
# #And finally multiply everything together to get the subfault amplitude spectrum
# A=C*S*G_mS*P*RP_vert
# else:
# RP=conically_avg_radiation_pattern(strike,dip,rake,azimuth,take_off_angle_mS,component_angle)
# RP=abs(RP)
# #And finally multiply everything together to get the subfault amplitude spectrum
# A=C*S*G_mS*P*RP
#
# #Generate windowed time series
# duration=1./fc_subfault+0.063*(dist/1000)
# w=windowed_gaussian(duration,hf_dt,window_type='saragoni_hart')
# #w=windowed_gaussian(3*duration,hf_dt,window_type='cua',ptime=Ppaths[0].path['time'][-1],stime=Spaths[0].path['time'][-1])
#
# #Go to frequency domain, apply amplitude spectrum and ifft for final time series
# hf_seis=apply_spectrum(w,A,f,hf_dt)
#
# #What time after OT should this time series start at?
# time_insert=mohoS.path['time'][-1]+onset_times[kfault]
# #print 'ts = '+str(time_insert)+' , Td = '+str(duration)
# #time_insert=Ppaths[0].path['time'][-1]
# i=argmin(abs(t-time_insert))
# j=i+len(hf_seis)
#
# #Add seismogram
# hf[i:j]=hf[i:j]+hf_seis
#
# #Done, reset
# mohoS=None
# if kfault==0:
# out=''' More:
# fc_scale = %10.4f
# subfaultM0 = %E
# mu = %E
# CS = %E
# CP = %E
# vr = %10.4f
# dip_factor = %10.4f
# fc_subfault = %10.4f
# directS = %s
# directP = %s
# '''%(fc_scale,subfault_M0[kfault],mu,CS,CP,vr,dip_factor,fc_subfault,str(directS.time),str(directP.time))
# print out
# logfile.write(out)
# logfile.close()
#Done
tr.data=hf/100 #convert to m/s**2
#Add station location, event location, and first P-wave arrival time to SAC header
tr.stats.update({'sac':{'stlo':sta_lon,'stla':sta_lat,'evlo':epicenter[0],'evla':epicenter[1],'evdp':epicenter[2],'dist':dist_in_km,'az':az,'baz':backaz,'mag':Mw}}) #,'idep':"ACC (m/s^2)" not sure why idep won't work
#Return trace for writing to file
# print "Earliest P wave Comes at " + str(earliestP) + "after OT, from location " + str(fault[earliestP_kfault,1]) + ", " + str(fault[earliestP_kfault,2]) + ", " +str(fault[earliestP_kfault,3])
return tr
