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01.1 Magnitude sensitivity for homogeneous model: test case 1#
This is an example of computing magnitude sensitivity for a homogeneous model.
Test case 1 (from Hallo [2012]):
Geometry: simple station geometry with 3 surface stations in the form of a triangle
Velocity model: homogeneous, Vp = 4300 m/s, Vp/Vs = 1.73, Qp = 100, Qs = 50, rho = 2300 kg/m^3
Processing: magnitude sensitivity computation for individual stations (for grid slices only) and for all stations (for all grid points, cutting slices after).
Load all necessary packages#
Input#
Read geometry#
geometry_file_path = '../data/homo/test_01/TMPL_net_geometryA.txt'
geometry_df = pndmod.io.read_geometry(geometry_file_path)
print(geometry_df)
print(geometry_df.attrs)
Name Y X Z NoiseLevel
0 ST1 0.0 0.0 -0.0 5.000000e-09
1 ST2 0.0 5000.0 -0.0 5.000000e-09
2 ST3 4330.0 2500.0 -0.0 5.000000e-09
{'file_path': '../data/homo/test_01/TMPL_net_geometryA.txt', 'original_coord_units': 'm', 'coordinate_system': 'local', 'noise_type': 'velocity', 'noise_unit': 'm/s', '_is_combined': False}
Read velocity model#
velocity_file_path = '../data/homo/test_01/TMPL_velocity_model.txt'
velocity_df = pndmod.io.read_velocity(velocity_file_path)
print(velocity_df)
print(velocity_df.attrs)
Depth Vp VpVsRatio Qp Qs Rho Ep Dt Gm
0 40000 4300 1.73 100 50 2300 0.0 0.0 0.0
{'model_type': 'homo', 'model_anisotropy': 'isotropic', 'parameter_descriptions': {'Depth': 'Depth', 'Vp': 'P-wave velocity', 'Vs': 'S-wave velocity', 'VpVsRatio': 'Vp/Vs', 'Qp': 'P-wave quality factor', 'Qs': 'S-wave quality factor', 'Rho': 'density', 'Ep': 'Thomsen epsilon parameter', 'Dt': 'Thomsen delta parameter', 'Gm': 'Thomsen gamma parameter'}, 'parameter_units': {'Depth': 'm', 'Vp': 'm/s', 'Vs': 'm/s', 'VpVsRatio': '', 'Qp': '', 'Qs': '', 'Rho': 'kg/m^3', 'Ep': '', 'Dt': '', 'Gm': ''}}
Set imaging grid parameters#
# Imaging grid parameters
gx = np.arange(-3000, 8000 + 250, 250)
gy = np.arange(-3000, 8000 + 250, 250)
gz = np.arange(250, 10000 + 250, 250)
#gz = np.arange(250, 5000 + 250, 250)
# Generate grid points
grid_points = pndmod.utils.generate_grid(x=gx,y=gy,z=gz)
print("Number of grid points:",grid_points.shape[0])
print("grid_points.shape:",grid_points.shape)
Number of grid points: 81000
grid_points.shape: (81000, 3)
Plot geometry and imaging grid#
_ = pndvis.geometry.plot_stations_view(df=geometry_df,
grid_points=grid_points,
grid_marker_size = 1)
_ = pndvis.geometry.plot_stations_view(df=geometry_df,
grid_points=grid_points,
grid_marker_size = 1,
view = 'xz')
_ = pndvis.geometry.plot_stations_view(df=geometry_df,
grid_points=grid_points,
grid_marker_size = 1,
view = 'yz')
Prepare to compute magnitude sensitivity#
# Specify source parameters
#frequency = 10 # Hz
frequency = None # Automatic peak frequency computation
# Minimum S/N for detection on individual channel
min_SNR_p = 2
min_SNR_s = 2
# Minimum stations on which an event must be detected
min_stations_p = 3
min_stations_s = 3
# Save parameters
params = pndmod.classes.DetectionParameters(
min_SNR_p=min_SNR_p,
min_SNR_s=min_SNR_s,
min_stations_p=min_stations_p,
min_stations_s=min_stations_s,
f_p=frequency,
f_s=frequency,
)
params.validate()
# Define slices to use
slice_X = 0
slice_Y = 0
slice_Z = 2500
# Get slice planes
X_plane_points, X_plane_indices = pndmod.utils.get_slice_coordinates(grid_points=grid_points,slice_dimension=0,slice_coordinate=slice_X)
Y_plane_points, Y_plane_indices = pndmod.utils.get_slice_coordinates(grid_points=grid_points,slice_dimension=1,slice_coordinate=slice_Y)
Z_plane_points, Z_plane_indices = pndmod.utils.get_slice_coordinates(grid_points=grid_points,slice_dimension=2,slice_coordinate=slice_Z)
Compute and plot magnitude sensitivity for single stations#
# Get minumum detectable amplitudes
min_amps_p, min_amps_s = pndmod.utils.retrieve_min_amps(geometry_df=geometry_df,
SNR_p=min_SNR_p,
SNR_s=min_SNR_s,
f_p=frequency,
f_s=frequency)
amps_type = geometry_df.attrs.get('noise_type')
# Loop over stations
for ist in range(len(geometry_df)):
station_coords = geometry_df[['X', 'Y', 'Z']].to_numpy()[ist]
print("station_coords:",station_coords)
print("min_amps_p:",min_amps_p[ist])
print("min_amps_s:",min_amps_s[ist])
X_slice_mag_sens_p = pndmod.homo.mag_sensitivity_grid(grid_coords=X_plane_points,
velocity_df=velocity_df,
station_coords=station_coords,
min_amps_p=min_amps_p[ist],
min_stations_p=1,
f_p=frequency,
amps_type=amps_type,
wave_mode='P')
Y_slice_mag_sens_p = pndmod.homo.mag_sensitivity_grid(grid_coords=Y_plane_points,
velocity_df=velocity_df,
station_coords=station_coords,
min_amps_p=min_amps_p[ist],
min_stations_p=1,
f_p=frequency,
amps_type=amps_type,
wave_mode='P')
Z_slice_mag_sens_p = pndmod.homo.mag_sensitivity_grid(grid_coords=Z_plane_points,
velocity_df=velocity_df,
station_coords=station_coords,
min_amps_p=min_amps_p[ist],
min_stations_p=1,
f_p=frequency,
amps_type=amps_type,
wave_mode='P')
X_slice_mag_sens_s = pndmod.homo.mag_sensitivity_grid(grid_coords=X_plane_points,
velocity_df=velocity_df,
station_coords=station_coords,
min_amps_s=min_amps_s[ist],
min_stations_s=1,
f_s=frequency,
amps_type=amps_type,
wave_mode='S')
Y_slice_mag_sens_s = pndmod.homo.mag_sensitivity_grid(grid_coords=Y_plane_points,
velocity_df=velocity_df,
station_coords=station_coords,
min_amps_s=min_amps_s[ist],
min_stations_s=1,
f_s=frequency,
amps_type=amps_type,
wave_mode='S')
Z_slice_mag_sens_s = pndmod.homo.mag_sensitivity_grid(grid_coords=Z_plane_points,
velocity_df=velocity_df,
station_coords=station_coords,
min_amps_s=min_amps_s[ist],
min_stations_s=1,
f_s=frequency,
amps_type=amps_type,
wave_mode='S')
print("Plot magnitude sensitivity for station " + geometry_df['Name'].tolist()[ist] +" and P wave")
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=X_slice_mag_sens_p, yi=gy, zi=gz,
plot_title="Magnitude sensitivity for station " + geometry_df['Name'].tolist()[ist] + " at X=" + str(slice_X) + " m: YZ view, P-wave",
clb_title="$M_w$")
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Y_slice_mag_sens_p, xi=gx, zi=gz,
plot_title="Magnitude sensitivity for station " + geometry_df['Name'].tolist()[ist] + " at Y=" + str(slice_Y) + " m: XZ view, P-wave",
clb_title="$M_w$")
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Z_slice_mag_sens_p, xi=gx, yi=gy, geometry_df=geometry_df,
plot_title="Magnitude sensitivity for station " + geometry_df['Name'].tolist()[ist] + " at depth " + str(slice_Z) + " m: Map view, P-wave",
clb_title="$M_w$")
print("Plot magnitude sensitivity for station " + geometry_df['Name'].tolist()[ist] +" and S wave")
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=X_slice_mag_sens_s, yi=gy, zi=gz,
plot_title="Magnitude sensitivity for station " + geometry_df['Name'].tolist()[ist] + " at X=" + str(slice_X) + " m: YZ view, S-wave",
clb_title="$M_w$")
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Y_slice_mag_sens_s, xi=gx, zi=gz,
plot_title="Magnitude sensitivity for station " + geometry_df['Name'].tolist()[ist] + " at Y=" + str(slice_Y) + " m: XZ view, S-wave",
clb_title="$M_w$")
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Z_slice_mag_sens_s, xi=gx, yi=gy, geometry_df=geometry_df,
plot_title="Magnitude sensitivity for station " + geometry_df['Name'].tolist()[ist] + " at depth " + str(slice_Z) + " m: Map view, S-wave",
clb_title="$M_w$")
station_coords: [ 0. 0. -0.]
min_amps_p: 1e-08
min_amps_s: 1e-08
Plot magnitude sensitivity for station ST1 and P wave
Plot magnitude sensitivity for station ST1 and S wave
station_coords: [5000. 0. -0.]
min_amps_p: 1e-08
min_amps_s: 1e-08
Plot magnitude sensitivity for station ST2 and P wave
Plot magnitude sensitivity for station ST2 and S wave
station_coords: [2500. 4330. -0.]
min_amps_p: 1e-08
min_amps_s: 1e-08
Plot magnitude sensitivity for station ST3 and P wave
Plot magnitude sensitivity for station ST3 and S wave
Compute magnitude sensitivity for several stations using the whole grid#
# Compute magnitude sensitivity for the whole grid for P
print("Computing magnitude sensitivity for the whole grid for P wave...")
start_time = time()
mag_sens_grid_p = pndmod.core.get_mag_sensitivity(grid_coords=grid_points,
geometry_df=geometry_df,
velocity_df=velocity_df,
params=params,
wave_mode='P')
end_time = time()
print(f"Computation time: {end_time - start_time} seconds")
# Compute magnitude sensitivity for the whole grid for S
print("Computing magnitude sensitivity for the whole grid for S wave...")
start_time = time()
mag_sens_grid_s = pndmod.core.get_mag_sensitivity(grid_coords=grid_points,
geometry_df=geometry_df,
velocity_df=velocity_df,
params=params,
wave_mode='S')
end_time = time()
print(f"Computation time: {end_time - start_time} seconds")
# Compute magnitude sensitivity for the whole grid for P and S waves
print("Computing magnitude sensitivity for the whole grid for both P and S waves...")
start_time = time()
mag_sens_grid_ps = pndmod.core.get_mag_sensitivity(grid_coords=grid_points,
geometry_df=geometry_df,
velocity_df=velocity_df,
params=params,
wave_mode='PS')
end_time = time()
print(f"Computation time: {end_time - start_time} seconds")
Computing magnitude sensitivity for the whole grid for P wave...
Computation time: 0.038500070571899414 seconds
Computing magnitude sensitivity for the whole grid for S wave...
Computation time: 0.033838748931884766 seconds
Computing magnitude sensitivity for the whole grid for both P and S waves...
Computation time: 0.047976016998291016 seconds
Get sensitivity slices by cutting from the grid#
X_slice_mag_sens_stations_p = mag_sens_grid_p[X_plane_indices]
Y_slice_mag_sens_stations_p = mag_sens_grid_p[Y_plane_indices]
Z_slice_mag_sens_stations_p = mag_sens_grid_p[Z_plane_indices]
X_slice_mag_sens_stations_s = mag_sens_grid_s[X_plane_indices]
Y_slice_mag_sens_stations_s = mag_sens_grid_s[Y_plane_indices]
Z_slice_mag_sens_stations_s = mag_sens_grid_s[Z_plane_indices]
X_slice_mag_sens_stations_ps = mag_sens_grid_ps[X_plane_indices]
Y_slice_mag_sens_stations_ps = mag_sens_grid_ps[Y_plane_indices]
Z_slice_mag_sens_stations_ps = mag_sens_grid_ps[Z_plane_indices]
Plot magnitude sensitivity for several stations#
Plot magnitude sensitivity for P wave#
clb_range = None
plt_levels = None
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=X_slice_mag_sens_stations_p, yi=gy, zi=gz,
plot_title="Magnitude sensitivity at X=" + str(slice_X) + " m: YZ view, P-wave",
clb_title="$M_w$",
clb_range=clb_range,
plt_levels=plt_levels)
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Y_slice_mag_sens_stations_p, xi=gx, zi=gz,
plot_title="Magnitude sensitivity at Y=" + str(slice_Y) + " m: XZ view, P-wave",
clb_title="$M_w$",
clb_range=clb_range,
plt_levels=plt_levels)
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Z_slice_mag_sens_stations_p, xi=gx, yi=gy, geometry_df=geometry_df,
plot_title="Magnitude sensitivity at depth " + str(slice_Z) + " m: Map view, P-wave",
clb_title="$M_w$",
clb_range=clb_range,
plt_levels=plt_levels)
Plot magnitude sensitivity for S wave#
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=X_slice_mag_sens_stations_s, yi=gy, zi=gz,
plot_title="Magnitude sensitivity at X=" + str(slice_X) + " m: YZ view, S-wave",
clb_title="$M_w$",
clb_range=clb_range,
plt_levels=plt_levels)
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Y_slice_mag_sens_stations_s, xi=gx, zi=gz,
plot_title="Magnitude sensitivity at Y=" + str(slice_Y) + " m: XZ view, S-wave",
clb_title="$M_w$",
clb_range=clb_range,
plt_levels=plt_levels)
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Z_slice_mag_sens_stations_s, xi=gx, yi=gy, geometry_df=geometry_df,
plot_title="Magnitude sensitivity at depth " + str(slice_Z) + " m: Map view, S-wave",
clb_title="$M_w$",
clb_range=clb_range,
plt_levels=plt_levels)
Plot magnitude sensitivity for P and S waves#
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=X_slice_mag_sens_stations_ps, yi=gy, zi=gz,
plot_title="Magnitude sensitivity at X=" + str(slice_X) + " m: YZ view, P- and S-waves",
clb_title="$M_w$",
clb_range=clb_range,
plt_levels=plt_levels)
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Y_slice_mag_sens_stations_ps, xi=gx, zi=gz,
plot_title="Magnitude sensitivity at Y=" + str(slice_Y) + " m: XZ view, P- and S-waves",
clb_title="$M_w$",
clb_range=clb_range,
plt_levels=plt_levels)
_ = pndvis.sensitivity.plot_sensitivity_slice(sens_data=Z_slice_mag_sens_stations_ps, xi=gx, yi=gy, geometry_df=geometry_df,
plot_title="Magnitude sensitivity at depth " + str(slice_Z) + " m: Map view, P- and S-waves",
clb_title="$M_w$",
clb_range=clb_range,
plt_levels=plt_levels)
Total running time of the script: (0 minutes 4.817 seconds)