def global_wa_hyp(M, lat_hyp, lon_hyp, depth_hyp, lat_sta, lon_sta):
"""
Computed intensity prediction equation according to Wald & Allan, 2012
Parameters:
M magnitude
lat_hyp, lon_hyp, depth_hyp: coordinates of the hypocenter (latitude, longitude, depth, respectively)
lat_sta, lon_sta: coordinates of the station (latitude and longitude, respectively)
Returns:
a number
"""
#defining constants:
c0 = 2.085
c1 = 1.428
c2 = -1.402
c4 = 0.078
m1 = -0.209
m2 = 2.042
R_hyp = _threed_dist(lat_hyp, lon_hyp, depth_hyp, lat_sta, lon_sta, 0)
R_M = m1 + m2 * exp(M - 5)
I = c0 + c1 * M + c2 * log(sqrt(R_hyp**2 + R_M**2))
if R_hyp > 50:
I = I + c4 * log(R_hyp / 50)
return I
def global_wa_hyp(M, lat_hyp, lon_hyp, depth_hyp, lat_sta, lon_sta):
"""
Computed intensity prediction equation according to Wald & Allan, 2012
Parameters:
M magnitude
lat_hyp, lon_hyp, depth_hyp: coordinates of the hypocenter (latitude, longitude, depth, respectively)
lat_sta, lon_sta: coordinates of the station (latitude and longitude, respectively)
Returns:
a number
"""
#defining constants:
c0 = 2.085
c1 = 1.428
c2 = -1.402
c4 = 0.078
m1 = -0.209
m2 = 2.042
R_hyp = _threed_dist(lat_hyp, lon_hyp, depth_hyp, lat_sta, lon_sta, 0)
R_M = m1 + m2 * exp(M-5)
I = c0 + c1 * M + c2 * log(sqrt(R_hyp ** 2 + R_M ** 2));
if R_hyp > 50:
I = I + c4 * log(R_hyp/50)
return I
def calculate(self, distance):
c0, c1, c2, c4, m1, m2 = self.__constants
M = self.m #magnitude
R_M = m1 + m2 * exp(M - 5)
I = c0 + c1 * M + c2 * log(sqrt(distance**2 + R_M**2))
if distance > 50:
I = I + c4 * log(distance / 50)
return I
def __call__(self, lat, lon):
#TO BE IMPLEMENTED
#getting constants:
c0, c1 , c2 , c4, m1, m2 = self.__constants
#R_hyp = _threed_dist(self.lat, self.lon, self.depth, lat, lon, 0)
chord = chorddistance(self.lat, self.lon, lat, lon)
R_hyp = sqrt(self.depth**2 + chord**2)
M = self.m #magnitude
R_M = m1 + m2 * exp(M-5)
I = c0 + c1 * M + c2 * log(sqrt(R_hyp ** 2 + R_M ** 2));
if R_hyp > 50:
I = I + c4 * log(R_hyp/50)
return I
def __call__(self, lat, lon):
if not hasattr(self, "_rld"):
self._rld, self._rw = rld_rw(self.sof)(self.m)
c0, c1, c2, c3 = self.__constants
r_rup = rup_distance(lat, lon, self.lat, self.lon, self.depth, self.strike, self.dip, self._rld, self._rw)
return c0 + c1 * self.m + c2 * log (sqrt( r_rup ** 2 + (1 + c3 * exp(self.m -5)) **2 ))
def calculate(self, distance):
c0, c1, c2, c3 = self.__constants
I = c0 + c1 * self.m + c2 * log(
sqrt(distance**2 + (1 + c3 * exp(self.m - 5))**2))
return I
