def compute_distances(position_y, position_x, source_y, source_x, latlon=True):
"""
Compute the y and x distance between the observation location and the source location
@param position_y: Obsevation y position
@param position_x: Observation x position
@param source_y: Source y position
@param source_x: Source x position
@param latlon: Interpret positions as latitudes and longitudes
@return The y and x distance between observation location and source locaiton
"""
if latlon == True:
y_distance = mo.wgs84_distance((source_y, source_x),
(position_y, source_x))
x_distance = mo.wgs84_distance((source_y, source_x),
(source_y, position_x))
x_distance = x_distance * np.sign(position_x - source_x)
y_distance = y_distance * np.sign(position_y - source_y)
else:
x_distance = position_x - source_x
y_distance = position_y - source_y
return y_distance, x_distance
def closed_pipe(xdata, lat, lon, source_depth, amplitude, pipe_delta):
'''
Compute the surface deformation due to changes in a closed pipe source
For reference, see "Volcano Deformation", Dzurisin 2006, pg 292
(http://link.springer.com/book/10.1007/978-3-540-49302-0)
@param xdata: List of the position data with each array element containing [ direction (x, y, or z), lat, lon ]
@param lat: Latitude of source
@param lon: Longitude of source
@param source_depth: Depth of source
@param amplitude: Ampltiude of source
@param pipe_delta: Pipe delta from source depth to top/bottom
@return list of resulting deformation for each point in xdata
'''
nu_v = .25
source_coords = (lat, lon)
results = []
for data in xdata:
dim = data[0]
station_coords = (float(data[1]), float(data[2]))
# print(station_coords)
y_distance = mo.wgs84_distance(source_coords,
(station_coords[0], source_coords[1]))
x_distance = mo.wgs84_distance(source_coords,
(source_coords[0], station_coords[1]))
x_distance = x_distance * np.sign(station_coords[1] - source_coords[1])
y_distance = y_distance * np.sign(station_coords[0] - source_coords[0])
result = None
c1 = source_depth + pipe_delta
c2 = source_depth - pipe_delta
R_1 = (x_distance**2 + y_distance**2 + c1**2)**(1 / 2)
R_2 = (x_distance**2 + y_distance**2 + c2**2)**(1 / 2)
r2 = (x_distance**2 + y_distance**2)
if dim == 'x':
result = amplitude * ((c1 / R_1)**3 + 2 * c1 *
(-3 + 5 * nu_v) / R_1 +
(5 * c2**3 * (1 - 2 * nu_v) - 2 * c2 * r2 *
(-3 + 5 * nu_v)) / R_2**3) * x_distance / r2
elif dim == 'y':
result = amplitude * ((c1 / R_1)**3 + 2 * c1 *
(-3 + 5 * nu_v) / R_1 +
(5 * c2**3 * (1 - 2 * nu_v) - 2 * c2 * r2 *
(-3 + 5 * nu_v)) / R_2**3) * y_distance / r2
elif dim == 'z':
result = -amplitude * (c1**2 / R_1**3 + 2 * (-2 + 5 * nu_v) / R_1 +
(c2**2 * (3 - 10 * nu_v) - 2 * r2 *
(-2 + 5 * nu_v)) / R_2**3)
else:
print("Did not understand dimension")
results.append(result)
return results
def finite_sphere(xdata, lat, lon, source_depth, amplitude, alpha_rad):
'''
Compute the surface deformation due to changes in a finite sphere source
For reference, see "Volcano Deformation", Dzurisin 2006, pg 290
(http://link.springer.com/book/10.1007/978-3-540-49302-0)
@param xdata: List of the position data with each array element containing [ direction (x, y, or z), lat, lon ]
@param lat: Latitude of source
@param lon: Longitude of source
@param source_depth: Depth of source
@param amplitude: Ampltiude of source
@param alpha_rad: Alpha radius of the source
@return list of resulting deformation for each point in xdata
'''
nu_v = .25
C1 = (1 + nu_v) / (2 * (-7 + 5 * nu_v))
C2 = 15 * (-2 + nu_v) / (4 * (-7 + 5 * nu_v))
source_coords = (lat, lon)
results = []
for data in xdata:
dim = data[0]
station_coords = (float(data[1]), float(data[2]))
# print(station_coords)
y_distance = mo.wgs84_distance(source_coords,
(station_coords[0], source_coords[1]))
x_distance = mo.wgs84_distance(source_coords,
(source_coords[0], station_coords[1]))
x_distance = x_distance * np.sign(station_coords[1] - source_coords[1])
y_distance = y_distance * np.sign(station_coords[0] - source_coords[0])
R3 = (x_distance**2 + y_distance**2 + source_depth**2)**(3 / 2)
result = None
if dim == 'x':
result = amplitude * alpha_rad**3 * (
1 + (alpha_rad / source_depth)**3 *
(C1 + C2 * source_depth**2 / R3**(2 / 3))) * x_distance / R3
elif dim == 'y':
result = amplitude * alpha_rad**3 * (
1 + (alpha_rad / source_depth)**3 *
(C1 + C2 * source_depth**2 / R3**(2 / 3))) * y_distance / R3
elif dim == 'z':
result = amplitude * alpha_rad**3 * (
1 + (alpha_rad / source_depth)**3 *
(C1 + C2 * source_depth**2 / R3**(2 / 3))) * source_depth / R3
else:
print("Did not understand dimension")
results.append(result)
return results
def mogi(xdata, lat, lon, source_depth, amplitude):
'''
Compute the surface deformation due to changes in a mogi source
@param xdata: List of the position data with each array element containing [ direction (x, y, or z), lat, lon ]
@param lat: Latitude of source
@param lon: Longitude of source
@param source_depth: Depth of source
@param amplitude: Amplitude of mogi source
@return list of resulting deformation for each point in xdata
'''
source_coords = (lat, lon)
results = []
for data in xdata:
dim = data[0]
station_coords = (float(data[1]), float(data[2]))
# print(station_coords)
y_distance = mo.wgs84_distance(source_coords,
(station_coords[0], source_coords[1]))
x_distance = mo.wgs84_distance(source_coords,
(source_coords[0], station_coords[1]))
x_distance = x_distance * np.sign(station_coords[1] - source_coords[1])
y_distance = y_distance * np.sign(station_coords[0] - source_coords[0])
R3 = (x_distance**2 + y_distance**2 + source_depth**2)**(3 / 2)
result = None
if dim == 'x':
result = amplitude * x_distance / R3
elif dim == 'y':
result = amplitude * y_distance / R3
elif dim == 'z':
result = amplitude * source_depth / R3
else:
print("Did not understand dimension")
results.append(result)
return results
def sill(xdata, lat, lon, source_depth, amplitude):
'''
Compute the surface deformation due to changes in a sill-like source
For reference, see "Volcano Deformation", Dzurisin 2006, pg 297
(http://link.springer.com/book/10.1007/978-3-540-49302-0)
@param xdata: List of the position data with each array element containing [ direction (x, y, or z), lat, lon ]
@param lat: Latitude of source
@param lon: Longitude of source
@param source_depth: Depth of source
@param amplitude: Ampltiude of source
@return list of resulting deformation for each point in xdata
'''
source_coords = (lat, lon)
results = []
for data in xdata:
dim = data[0]
station_coords = (float(data[1]), float(data[2]))
# print(station_coords)
y_distance = mo.wgs84_distance(source_coords,
(station_coords[0], source_coords[1]))
x_distance = mo.wgs84_distance(source_coords,
(source_coords[0], station_coords[1]))
x_distance = x_distance * np.sign(station_coords[1] - source_coords[1])
y_distance = y_distance * np.sign(station_coords[0] - source_coords[0])
R5 = (x_distance**2 + y_distance**2 + source_depth**2)**(5 / 2)
result = None
if dim == 'x':
result = amplitude * x_distance * source_depth**2 / R5
elif dim == 'y':
result = amplitude * y_distance * source_depth**2 / R5
elif dim == 'z':
result = amplitude * source_depth**3 / R5
else:
print("Did not understand dimension")
results.append(result)
return results
def process(self, obj_data):
'''
Apply geolocation filter to data set
@param obj_data: Table data wrapper
'''
lat = self.ap_paramList[0]()
lon = self.ap_paramList[1]()
radius = self.ap_paramList[2]()
remove_list = []
for label, data in obj_data.getIterator():
data_lat = obj_data.info(label)['Lat']
data_lon = obj_data.info(label)['Lon']
if wgs84_distance((lat, lon), (data_lat, data_lon)) > radius:
remove_list.append(label)
obj_data.removeFrames(remove_list)
def geocalc(lat1, lon1, lat2, lon2):
return wgs84_distance((lat1, lon1), (lat2, lon2))
def rising_open_pipe(xdata, lat, lon, source_depth, amplitude, pipe_delta,
open_pipe_top):
'''
Compute the surface deformation due to changes in a rising width amplitude open pipe source
For reference, see "Volcano Deformation", Dzurisin 2006, pg 295
(http://link.springer.com/book/10.1007/978-3-540-49302-0)
@param xdata: List of the position data with each array element containing [ direction (x, y, or z), lat, lon ]
@param lat: Latitude of source
@param lon: Longitude of source
@param source_depth: Depth of source
@param amplitude: Ampltiude of source
@param pipe_delta: Pipe delta from source depth to top/bottom
@param open_pipe_top: Depth of the top of the open pipe
@return list of resulting deformation for each point in xdata
'''
nu_v = .25
source_coords = (lat, lon)
results = []
for data in xdata:
dim = data[0]
station_coords = (float(data[1]), float(data[2]))
# print(station_coords)
y_distance = mo.wgs84_distance(source_coords,
(station_coords[0], source_coords[1]))
x_distance = mo.wgs84_distance(source_coords,
(source_coords[0], station_coords[1]))
x_distance = x_distance * np.sign(station_coords[1] - source_coords[1])
y_distance = y_distance * np.sign(station_coords[0] - source_coords[0])
result = None
c0 = open_pipe_top
c1 = source_depth + pipe_delta
R_0 = (x_distance**2 + y_distance**2 + c0**2)**(1 / 2)
R_1 = (x_distance**2 + y_distance**2 + c1**2)**(1 / 2)
r2 = (x_distance**2 + y_distance**2)
if dim == 'x':
result = amplitude * (
-(c0**2 / R_0**3) + 2 * nu_v / R_0 +
(c1**2 - 2 * (c1**2 + r2) * nu_v) / R_1**3) * x_distance / c1
elif dim == 'y':
result = amplitude * (
-(c0**2 / R_0**3) + 2 * nu_v / R_0 +
(c1**2 - 2 * (c1**2 + r2) * nu_v) / R_1**3) * y_distance / c1
elif dim == 'z':
result = -amplitude * ((c0**3 / R_0**3) - c1**3 / R_1**3 + c1 *
(-1 + 2 * nu_v) / R_1 + c0 *
(1 - 2 * nu_v) / R_0 +
(-1 + 2 * nu_v) * np.log(c0 + R_0) -
(-1 + 2 * nu_v) * np.log(c1 + R_1)) / c1
else:
print("Did not understand dimension")
results.append(result)
return results