Added responsespectra source code files
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src/functions.py
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src/functions.py
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# -*- coding: utf-8 -*-
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"""
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- Function to compute the response spectra of time series using the Duhamel integral technique.
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Inputs:
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- data: acceleration data in the time domain
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- delta: Sampling rate of the time-series (in Hz)
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- T: Output period range in second, Example (if delta>=20 Hz): T = np.concatenate((np.arange(.1, 1, .01), np.arange(1, 20, .1)))
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- xi: Damping factor (Standard: 5% -> 0.05)
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- Resp_type: Response type, choose between:
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- 'SA' : Acceleration Spectra
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- 'PSA' : Pseudo-acceleration Spectra
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- 'SV' : Velocity Spectra
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- 'PSV' : Pseudo-velocity Spectra
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- 'SD' : Displacement Spectra
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Output:
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- Response spectra in the unit specified by 'Resp_type'
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"""
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# -----------------
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# Copyright © 2023 ACK Cyfronet AGH, Poland.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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#
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# This work was partially funded by DT-GEO Project.
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# -----------------
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import numpy as np
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from numba import jit
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@jit(nopython=True)
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def rs_func(data, dt, T, xi, Resp_type):
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n = len(data)
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n_T = len(T)
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# dt = 1 / delta
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w = 2 * np.pi / T
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mass = 1 # constant mass (=1)
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c = 2 * xi * w * mass
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wd = w * np.sqrt(1 - xi**2)
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p1 = -mass * data
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# predefine output matrices
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S = np.zeros(n_T)
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for j in np.arange(n_T):
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# Duhamel time domain matrix form
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I0 = 1/w[j]**2*(1-np.exp(-xi*w[j]*dt)*(xi*w[j]/wd[j]*np.sin(wd[j]*dt)+np.cos(wd[j]*dt)))
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J0 = 1/w[j]**2*(xi*w[j]+np.exp(-xi*w[j]*dt)*(-xi*w[j]*np.cos(wd[j]*dt)+wd[j]*np.sin(wd[j]*dt)))
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AA = [[np.exp(-xi*w[j]*dt)*(np.cos(wd[j]*dt)+xi*w[j]/wd[j]*np.sin(wd[j]*dt)) , np.exp(-xi*w[j]*dt)*np.sin(wd[j]*dt)/wd[j] ] ,
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[-w[j]**2*np.exp(-xi*w[j]*dt)*np.sin(wd[j]*dt)/wd[j] ,np.exp(-xi*w[j]*dt)*(np.cos(wd[j]*dt)-xi*w[j]/wd[j]*np.sin(wd[j]*dt)) ]]
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BB = [[I0*(1+xi/w[j]/dt)+J0/w[j]**2/dt-1/w[j]**2 , -xi/w[j]/dt*I0-J0/w[j]**2/dt+1/w[j]**2 ] ,
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[J0-(xi*w[j]+1/dt)*I0, I0/dt] ]
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u1 = np.zeros(n)
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udre1 = np.zeros(n)
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for xx in range(1,n,1) :
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u1[xx] = AA[0][0]*u1[xx-1] + AA[0][1]*udre1[xx-1] + BB[0][0]*p1[xx-1] + BB[0][1]*p1[xx]
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udre1[xx] = AA[1][0]*u1[xx-1]+AA[1][1]*udre1[xx-1] + BB[1][0]*p1[xx-1]+BB[1][1]*p1[xx]
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if Resp_type == "SA":
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S[j] = np.max(np.abs(-(w[j] ** 2 * u1 + c[j] * udre1)))
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elif Resp_type == "PSA":
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S[j] = np.max(np.abs(u1)) * w[j] ** 2
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elif Resp_type == "SV":
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S[j] = np.max(np.abs(udre1))
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elif Resp_type == "PSV":
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S[j] = np.max(np.abs(u1)) * w[j]
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elif Resp_type == "SD":
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S[j] = np.max(np.abs(u1))
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return S
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63
src/responsespectra.py
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src/responsespectra.py
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# -*- coding: utf-8 -*-
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# -----------------
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# Copyright © 2023 ACK Cyfronet AGH, Poland.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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#
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# This work was partially funded by DT-GEO Project.
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# -----------------
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import numpy as np
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from obspy import read
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from functions import rs_func
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def main(miniseed_file, Damping = 0.05):
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"""
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Python application that reads the acceleration miniseed file and calculates the response spectra.
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Arguments:
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miniseed_file: path to input file of type 'MiniSEED in accleration unit'
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Damping: Damping factor. 0.05 means 5% damping ratio
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Returns:
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CSV files of the response spectra values.
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"""
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Resp_types = ['SA','PSA','SV','PSV','SD']
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T = np.concatenate(
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(
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np.arange(0.05, 0.1, 0.005), #0.05s to 0.1s by 0.005s intervals
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np.arange(0.1, 0.5, 0.01), #0.1s to 0.5s by 0.01s intervals
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np.arange(0.5, 1, 0.02),
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np.arange(1, 5, 0.1),
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np.arange(5, 10.5, 0.5),
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)
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)
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stream_raw = read(miniseed_file)
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for resp in Resp_types:
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stream = stream_raw.copy() #start with fresh stream
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csv_header = ["Period"] #start of header for csv output file
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Sfin = np.zeros((len(stream), len(T)))
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for i, st in enumerate(stream):
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st.data = st.data * 100 #convert from m/s/s to cm/s/s
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dt = round(st.stats.delta, 3) # Get dt sampling rate in seconds
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tr_data = st.data # extract time series
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Sfin[i] = rs_func(tr_data, dt, T, Damping, Resp_type=resp)
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net = st.stats.network
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stn = st.stats.station
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loc = st.stats.location
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chan = st.stats.channel
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nslc = net + '.' + stn + '.' + loc + '.' + chan
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csv_header.append(nslc + " " + resp)
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csv_array = np.vstack((T,Sfin))
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csv_array = csv_array.T
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np.savetxt('spectra_'+resp+'.csv', csv_array, delimiter=",", header=",".join(csv_header))
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38
src/responsespectra_wrapper.py
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src/responsespectra_wrapper.py
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# -*- coding: utf-8 -*-
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# -----------------
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# Copyright © 2023 ACK Cyfronet AGH, Poland.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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#
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# This work was partially funded by DT-GEO Project.
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# -----------------
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import sys
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import argparse
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from responsespectra import main as responsespectra
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def main(argv):
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parser = argparse.ArgumentParser()
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parser.add_argument("miniseed_file", help="Path to input file of type 'MiniSEED in accleration unit'")
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parser.add_argument("--Damping", help="Damping factor. 0.05 means 5% damping ratio",
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type=float, default=0.05, required=False)
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args = parser.parse_args()
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responsespectra(**vars(args))
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return
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if __name__ == '__main__':
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main(sys.argv)
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