|
| 1 | +#!/usr/bin/env python |
| 2 | +# -*- coding: utf-8 -*- |
| 3 | +""" |
| 4 | +Source and Receiver classes of Instaseis. |
| 5 | +
|
| 6 | +:copyright: |
| 7 | + Lion Krischer (krischer@geophysik.uni-muenchen.de), 2014 |
| 8 | + Martin van Driel (Martin@vanDriel.de), 2014 |
| 9 | + Wenjie Lei (lei@princeton.edu), 2016 |
| 10 | +:license: |
| 11 | + GNU Lesser General Public License, Version 3 |
| 12 | + (http://www.gnu.org/copyleft/lgpl.html) |
| 13 | +""" |
| 14 | +from __future__ import (absolute_import, division, print_function, |
| 15 | + unicode_literals) |
| 16 | +import numpy as np |
| 17 | +import obspy |
| 18 | +import obspy.xseed |
| 19 | +import warnings |
| 20 | + |
| 21 | + |
| 22 | +class CMTSource(object): |
| 23 | + """ |
| 24 | + Class to handle a seismic moment tensor source including a source time |
| 25 | + function. |
| 26 | + """ |
| 27 | + def __init__(self, origin_time=obspy.UTCDateTime(0), |
| 28 | + pde_latitude=0.0, pde_longitude=0.0, mb=0.0, ms=0.0, |
| 29 | + pde_depth_in_m=None, region_tag=None, eventname=None, |
| 30 | + cmt_time=0.0, half_duration=0.0, latitude=0.0, longitude=0.0, |
| 31 | + depth_in_m=None, m_rr=0.0, m_tt=0.0, m_pp=0.0, m_rt=0.0, |
| 32 | + m_rp=0.0, m_tp=0.0): |
| 33 | + """ |
| 34 | + :param latitude: latitude of the source in degree |
| 35 | + :param longitude: longitude of the source in degree |
| 36 | + :param depth_in_m: source depth in m |
| 37 | + :param m_rr: moment tensor components in r, theta, phi in Nm |
| 38 | + :param m_tt: moment tensor components in r, theta, phi in Nm |
| 39 | + :param m_pp: moment tensor components in r, theta, phi in Nm |
| 40 | + :param m_rt: moment tensor components in r, theta, phi in Nm |
| 41 | + :param m_rp: moment tensor components in r, theta, phi in Nm |
| 42 | + :param m_tp: moment tensor components in r, theta, phi in Nm |
| 43 | + :param time_shift: correction of the origin time in seconds. only |
| 44 | + useful in the context of finite sources |
| 45 | + :param sliprate: normalized source time function (sliprate) |
| 46 | + :param dt: sampling of the source time function |
| 47 | + :param origin_time: The origin time of the source. This will be the |
| 48 | + time of the first sample in the final seismogram. Be careful to |
| 49 | + adjust it for any time shift or STF (de)convolution effects. |
| 50 | +
|
| 51 | + """ |
| 52 | + self.origin_time = origin_time |
| 53 | + self.pde_latitude = pde_latitude |
| 54 | + self.pde_longitude = pde_longitude |
| 55 | + self.pde_depth_in_m = pde_depth_in_m |
| 56 | + self.mb = mb |
| 57 | + self.ms = ms |
| 58 | + self.region_tag = region_tag |
| 59 | + self.eventname = eventname |
| 60 | + self.cmt_time = cmt_time |
| 61 | + self.half_duration = half_duration |
| 62 | + self.latitude = latitude |
| 63 | + self.longitude = longitude |
| 64 | + self.depth_in_m = depth_in_m |
| 65 | + self.m_rr = m_rr |
| 66 | + self.m_tt = m_tt |
| 67 | + self.m_pp = m_pp |
| 68 | + self.m_rt = m_rt |
| 69 | + self.m_rp = m_rp |
| 70 | + self.m_tp = m_tp |
| 71 | + |
| 72 | + @classmethod |
| 73 | + def from_CMTSOLUTION_file(cls, filename): |
| 74 | + """ |
| 75 | + Initialize a source object from a CMTSOLUTION file. |
| 76 | +
|
| 77 | + :param filename: path to the CMTSOLUTION file |
| 78 | + """ |
| 79 | + |
| 80 | + with open(filename, "rt") as f: |
| 81 | + line = f.readline() |
| 82 | + origin_time = line[4:].strip().split()[:6] |
| 83 | + values = list(map(int, origin_time[:-1])) + \ |
| 84 | + [float(origin_time[-1])] |
| 85 | + try: |
| 86 | + origin_time = obspy.UTCDateTime(*values) |
| 87 | + except (TypeError, ValueError): |
| 88 | + warnings.warn("Could not determine origin time from line: %s" |
| 89 | + % line) |
| 90 | + origin_time = obspy.UTCDateTime(0) |
| 91 | + otherinfo = line[4:].strip().split()[6:] |
| 92 | + pde_lat = float(otherinfo[0]) |
| 93 | + pde_lon = float(otherinfo[1]) |
| 94 | + pde_depth_in_m = float(otherinfo[2]) * 1e3 |
| 95 | + mb = float(otherinfo[3]) |
| 96 | + ms = float(otherinfo[4]) |
| 97 | + region_tag = ' '.join(otherinfo[5:]) |
| 98 | + |
| 99 | + eventname = f.readline().strip().split()[-1] |
| 100 | + time_shift = float(f.readline().strip().split()[-1]) |
| 101 | + cmt_time = origin_time + time_shift |
| 102 | + half_duration = float(f.readline().strip().split()[-1]) |
| 103 | + latitude = float(f.readline().strip().split()[-1]) |
| 104 | + longitude = float(f.readline().strip().split()[-1]) |
| 105 | + depth_in_m = float(f.readline().strip().split()[-1]) * 1e3 |
| 106 | + |
| 107 | + # unit: N/m |
| 108 | + m_rr = float(f.readline().strip().split()[-1]) # / 1e7 |
| 109 | + m_tt = float(f.readline().strip().split()[-1]) # / 1e7 |
| 110 | + m_pp = float(f.readline().strip().split()[-1]) # / 1e7 |
| 111 | + m_rt = float(f.readline().strip().split()[-1]) # / 1e7 |
| 112 | + m_rp = float(f.readline().strip().split()[-1]) # / 1e7 |
| 113 | + m_tp = float(f.readline().strip().split()[-1]) # / 1e7 |
| 114 | + |
| 115 | + return cls(origin_time=origin_time, |
| 116 | + pde_latitude=pde_lat, pde_longitude=pde_lon, mb=mb, ms=ms, |
| 117 | + pde_depth_in_m=pde_depth_in_m, region_tag=region_tag, |
| 118 | + eventname=eventname, cmt_time=cmt_time, |
| 119 | + half_duration=half_duration, latitude=latitude, |
| 120 | + longitude=longitude, depth_in_m=depth_in_m, |
| 121 | + m_rr=m_rr, m_tt=m_tt, m_pp=m_pp, m_rt=m_rt, |
| 122 | + m_rp=m_rp, m_tp=m_tp) |
| 123 | + |
| 124 | + @classmethod |
| 125 | + def from_quakeml_file(cls, filename): |
| 126 | + """ |
| 127 | + Initizliaze a source object from a quakeml file |
| 128 | + :param filename: path to a quakeml file |
| 129 | + """ |
| 130 | + from obspy import readEvents |
| 131 | + cat = readEvents(filename) |
| 132 | + event = cat[0] |
| 133 | + cmtsolution = event.preferred_origin() |
| 134 | + pdesolution = event.origins[0] |
| 135 | + |
| 136 | + origin_time = pdesolution.time |
| 137 | + pde_lat = pdesolution.latitude |
| 138 | + pde_lon = pdesolution.longitude |
| 139 | + pde_depth_in_m = pdesolution.depth |
| 140 | + mb = 0.0 |
| 141 | + ms = 0.0 |
| 142 | + for mag in event.magnitudes: |
| 143 | + if mag.magnitude_type == "mb": |
| 144 | + mb = mag.mag |
| 145 | + elif mag.magnitude_type == "MS": |
| 146 | + ms = mag.mag |
| 147 | + region_tag = event.event_descriptions[0].text |
| 148 | + |
| 149 | + for descrip in event.event_descriptions: |
| 150 | + if descrip.type == "earthquake name": |
| 151 | + eventname = descrip.text |
| 152 | + else: |
| 153 | + eventname = "" |
| 154 | + cmt_time = cmtsolution.time |
| 155 | + focal_mechanism = event.focal_mechanisms[0] |
| 156 | + half_duration = \ |
| 157 | + focal_mechanism.moment_tensor.source_time_function.duration/2.0 |
| 158 | + latitude = cmtsolution.latitude |
| 159 | + longitude = cmtsolution.longitude |
| 160 | + depth_in_m = cmtsolution.depth |
| 161 | + tensor = focal_mechanism.moment_tensor.tensor |
| 162 | + m_rr = tensor.m_rr * 1e7 |
| 163 | + m_tt = tensor.m_tt * 1e7 |
| 164 | + m_pp = tensor.m_pp * 1e7 |
| 165 | + m_rt = tensor.m_rt * 1e7 |
| 166 | + m_rp = tensor.m_rp * 1e7 |
| 167 | + m_tp = tensor.m_tp * 1e7 |
| 168 | + |
| 169 | + return cls(origin_time=origin_time, |
| 170 | + pde_latitude=pde_lat, pde_longitude=pde_lon, mb=mb, ms=ms, |
| 171 | + pde_depth_in_m=pde_depth_in_m, region_tag=region_tag, |
| 172 | + eventname=eventname, cmt_time=cmt_time, |
| 173 | + half_duration=half_duration, latitude=latitude, |
| 174 | + longitude=longitude, depth_in_m=depth_in_m, |
| 175 | + m_rr=m_rr, m_tt=m_tt, m_pp=m_pp, m_rt=m_rt, |
| 176 | + m_rp=m_rp, m_tp=m_tp) |
| 177 | + |
| 178 | + def write_CMTSOLUTION_file(self, filename): |
| 179 | + """ |
| 180 | + Initialize a source object from a CMTSOLUTION file. |
| 181 | +
|
| 182 | + :param filename: path to the CMTSOLUTION file |
| 183 | + """ |
| 184 | + with open(filename, "w") as f: |
| 185 | + # Reconstruct the first line as well as possible. All |
| 186 | + # hypocentral information is missing. |
| 187 | + f.write( |
| 188 | + " PDE %4i %2i %2i %2i %2i %5.2f %8.4f %9.4f %5.1f %.1f %.1f" |
| 189 | + " %s\n" % ( |
| 190 | + self.origin_time.year, |
| 191 | + self.origin_time.month, |
| 192 | + self.origin_time.day, |
| 193 | + self.origin_time.hour, |
| 194 | + self.origin_time.minute, |
| 195 | + self.origin_time.second + |
| 196 | + self.origin_time.microsecond / 1E6, |
| 197 | + self.pde_latitude, |
| 198 | + self.pde_longitude, |
| 199 | + self.pde_depth_in_m / 1e3, |
| 200 | + self.mb, |
| 201 | + self.ms, |
| 202 | + str(self.region_tag))) |
| 203 | + f.write('event name: %s\n' % (str(self.eventname))) |
| 204 | + f.write('time shift:%12.4f\n' % (self.time_shift,)) |
| 205 | + f.write('half duration:%9.4f\n' % (self.half_duration,)) |
| 206 | + f.write('latitude:%14.4f\n' % (self.latitude,)) |
| 207 | + f.write('longitude:%13.4f\n' % (self.longitude,)) |
| 208 | + f.write('depth:%17.4f\n' % (self.depth_in_m / 1e3,)) |
| 209 | + f.write('Mrr:%19.6e\n' % self.m_rr) # * 1e7,)) |
| 210 | + f.write('Mtt:%19.6e\n' % self.m_tt) # * 1e7,)) |
| 211 | + f.write('Mpp:%19.6e\n' % self.m_pp) # * 1e7,)) |
| 212 | + f.write('Mrt:%19.6e\n' % self.m_rt) # * 1e7,)) |
| 213 | + f.write('Mrp:%19.6e\n' % self.m_rp) # * 1e7,)) |
| 214 | + f.write('Mtp:%19.6e\n' % self.m_tp) # * 1e7,)) |
| 215 | + |
| 216 | + @property |
| 217 | + def M0(self): |
| 218 | + """ |
| 219 | + Scalar Moment M0 in Nm |
| 220 | + """ |
| 221 | + return (self.m_rr ** 2 + self.m_tt ** 2 + self.m_pp ** 2 + |
| 222 | + 2 * self.m_rt ** 2 + 2 * self.m_rp ** 2 + |
| 223 | + 2 * self.m_tp ** 2) ** 0.5 * 0.5 ** 0.5 |
| 224 | + |
| 225 | + @property |
| 226 | + def moment_magnitude(self): |
| 227 | + """ |
| 228 | + Moment magnitude M_w |
| 229 | + """ |
| 230 | + return 2.0 / 3.0 * (np.log10(self.M0) - 7.0) - 6.0 |
| 231 | + |
| 232 | + @property |
| 233 | + def time_shift(self): |
| 234 | + """ |
| 235 | + Time shift between cmtsolution and pdesolution |
| 236 | + """ |
| 237 | + return self.cmt_time - self.origin_time |
| 238 | + |
| 239 | + @property |
| 240 | + def tensor(self): |
| 241 | + """ |
| 242 | + List of moment tensor components in r, theta, phi coordinates: |
| 243 | + [m_rr, m_tt, m_pp, m_rt, m_rp, m_tp] |
| 244 | + """ |
| 245 | + return np.array([self.m_rr, self.m_tt, self.m_pp, self.m_rt, self.m_rp, |
| 246 | + self.m_tp]) |
| 247 | + |
| 248 | + def __str__(self): |
| 249 | + return_str = 'CMTS Source -- %s\n' % self.eventname |
| 250 | + return_str += 'origin time(pde): %s\n' % self.origin_time |
| 251 | + return_str += 'pde location(lat, lon): %f, %f deg\n' \ |
| 252 | + % (self.pde_latitude, self.pde_longitude) |
| 253 | + return_str += 'pde depth: %f\n' % self.pde_depth_in_m |
| 254 | + return_str += 'CMT time: %s\n' % self.cmt_time |
| 255 | + return_str += 'CMT location(lat, lon): %f, %f deg\n' \ |
| 256 | + % (self.latitude, self.longitude) |
| 257 | + return_str += 'CMT depth: %6.1e km\n' \ |
| 258 | + % (self.depth_in_m / 1e3,) |
| 259 | + return_str += 'half duration: %f\n' % self.half_duration |
| 260 | + return_str += 'moment tensor(Mrr, Mtt, Mpp, Mrt, Mrp, Mtp)\n' |
| 261 | + return_str += 'moment tensor: %s\n' \ |
| 262 | + % self.tensor |
| 263 | + return_str += 'Magnitude: %4.2f(mw), %4.2f(mb), %4.2f(ms)\n' \ |
| 264 | + % (self.moment_magnitude, self.mb, self.ms) |
| 265 | + return_str += 'region tag: %s' % self.region_tag |
| 266 | + |
| 267 | + return return_str |
| 268 | + |
| 269 | + def __eq__(self, other): |
| 270 | + return self.__dict__ == other.__dict__ |
| 271 | + |
| 272 | + def __ne__(self, other): |
| 273 | + return self.__dict__ == other.__dict__ |
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