count += 1 # compute histogram of back azimuths baz_hist, edges = np.histogram(back_azimuths, bins=np.linspace(0, 360, 37)) # set up colormap colors = [cm.plasma(x) for x in np.linspace(0, 1, max(baz_hist) + 1)] # plot all rays in 10-degree bins with length proportional to # of windows in that bin rays = np.zeros((36, 2), 'float64') scale = 30000 max_width = 2 * np.pi * scale / 36 max_width = 9 for i in range(36): angle = i * 10 rays[i, :] = compute_rays(angle) rayLength = baz_hist[i] / max(baz_hist) * scale [x, y] = [ np.linspace(avg_stat_x, avg_stat_x + rays[i, 0] * rayLength, 100), np.linspace(avg_stat_y, avg_stat_y + rays[i, 1] * rayLength, 100) ] lwidths = np.linspace(0, max_width, 100) * rayLength / scale print(lwidths) points = np.array([x, y]).T.reshape(-1, 1, 2) segments = np.concatenate([points[:-1], points[1:]], axis=1) print(segments) lc = LineCollection(segments, linewidths=lwidths, color='maroon', alpha=0.5) ax.add_collection(lc)
def run_polarization(args): # get inputs c = args[0] numCluster = args[1] nproc = args[2] clust_method = args[3] type = args[4] fs = args[5] dataPath = args[6] templatePath = args[7] outPath = args[8] norm_component = args[9] MAD = args[10] norm_thresh = args[11] xcorr_percent_thresh = args[12] snipLen = args[13] winLen = args[14] slide = args[15] if norm_component: outPath = outPath + "normalized_components/" templatePath = templatePath + type + "_normalized_3D_clustering/" + clust_method + "/" else: templatePath = templatePath + type + "_3D_clustering/" + clust_method + "/" # get window parameters numSteps = int((snipLen-winLen)/slide) # set stations and components chans = ["HHN","HHE","HHZ"] stations = ["PIG2","PIG4","PIG5"] #stat_coords = np.array([[-100.748596,-75.016701],[-100.786598,-75.010696],[-100.730904,-75.009201],[-100.723701,-75.020302],[-100.802696,-75.020103]]) stat_coords = np.array([[-100.786598,-75.010696],[-100.723701,-75.020302],[-100.802696,-75.020103]]) plotStat = 'PIG2' # read imagery data, get coordinate system, convert station coordinates to x and y, and take average station location file = "/media/Data/Data/PIG/TIF/LC08_L1GT_001113_20131012_20170429_01_T2_B4.TIF" sat_data = rasterio.open(file) p2 = Proj(sat_data.crs,preserve_units=False) p1 = Proj(proj='latlong',preserve_units=False) [stat_x,stat_y] = transform(p1,p2,stat_coords[:,0],stat_coords[:,1]) avg_stat_x = np.mean(stat_x) avg_stat_y = np.mean(stat_y) # set frequency prefiltFreq = [0.05,1] freq = [0.05,1] # load waveforms #waves = obspy.read(templatePath + type + '_waveforms_' + str(prefiltFreq[0]) + "-" + str(prefiltFreq[1]) + 'Hz.h5') # load detection times detFile = h5py.File(templatePath + "detection_times.h5","r") detTimes = list(detFile["times"]) detFile.close() # load clustering results clustFile = h5py.File(templatePath + str(numCluster) + "/" + str(numCluster) + "_cluster_predictions_" + str(prefiltFreq[0]) + "-" + str(prefiltFreq[1]) + "Hz.h5","r") pred = np.array(list(clustFile["cluster_index"])) centroids = list(clustFile["centroids"]) clustFile.close() # read in correlation results for the current cluster corrFile = h5py.File(templatePath + str(numCluster) + "/centroid" + str(c) + "_correlations_" + str(prefiltFreq[0]) + "-" + str(prefiltFreq[1]) + "Hz.h5","r") cluster_xcorr_coef = np.array(list(corrFile["corrCoefs"])) corrFile.close() # get indices of waveforms in current cluster and events in cluster above xcorr threshold clusterInd = [i for i, x in enumerate(pred==c) if x] if MAD: mad = stats.median_absolute_deviation(abs(cluster_xcorr_coef)) mad = round(mad,2) xcorr_percent_thresh = mad/max(abs(cluster_xcorr_coef)) print(mad) print(xcorr_percent_thresh) n_events = round(xcorr_percent_thresh*len(clusterInd)) else: n_events = round(xcorr_percent_thresh*len(clusterInd)) threshInd = abs(cluster_xcorr_coef).argsort()[-1*n_events:][::-1] # make array for storing pca vector sums and storing data to plot event_index = np.zeros((numSteps*len(threshInd),1),"float64") all_first_components = np.zeros((numSteps*len(threshInd),2),"float64") clusterEventsAligned = np.zeros((len(threshInd),snipLen*fs),'float64') # loop through indices of events in current cluster for i in range(len(threshInd)): # make array for storage of pca components and empty obspy stream for storing one trace from each station first_component_sums = np.zeros((numSteps,2),"float64") event_stat = obspy.read() event_stat.clear() # loop through stations to get one trace from each to find earliest arrival try: for stat in range(len(stations)): # get times bounds for current event and read event #eventLims = [waves[clusterInd[threshInd[i]]].stations.starttime,waves[clusterInd[threshInd[i]]].stations.starttime + snipLen] starttime = UTCDateTime(detTimes[clusterInd[threshInd[i]]]) endtime = starttime + snipLen eventLims = [starttime,endtime] event_stat += readEvent(dataPath + "MSEED/noIR/",stations[stat],chans[1],eventLims,freq) # find station with earliest arrival first_stat = observed_first_arrival(event_stat) # loop though stations to perform PCA on all windows in the event on each station's data for stat in range(len(stations)): # compute pca components for all windows in the event first_components = compute_pca(dataPath,stations[stat],chans,fs,winLen,slide,numSteps,freq,eventLims) # correct polarization direction based on first arrival first_components_corrected = correct_polarization(first_components,stations,first_stat,avg_stat_x,avg_stat_y,stat_x,stat_y) # sum results (this is vector sum across stations of pca first components for each window) first_component_sums = first_component_sums + first_components_corrected # give user output every % complete if round(i/len(threshInd)*100) > round((i-1)/len(threshInd)*100): print(str(round(i/len(threshInd)*100)) + " % complete (cluster " + str(c) +")") # fill results vector all_first_components[i*numSteps:(i+1)*numSteps,:] = first_component_sums event_index[i*numSteps:(i+1)*numSteps,1] = clusterInd[threshInd[i]]*np.ones((numSteps,1)) except: # give output if no data on current station print("Skipping cluster " + str(c) + " event " + str(i) + " (missing data on " + stations[stat] + ")") # make plots fig,ax = plt.subplots(nrows=2,ncols=1,figsize=(8, 8),gridspec_kw={'height_ratios':[1,0.4]}) # do some stuff corners = np.array([[sat_data.bounds[0],sat_data.bounds[1]], # bottom left [sat_data.bounds[0],sat_data.bounds[3]], # top left [sat_data.bounds[2],sat_data.bounds[1]], # bottom right [sat_data.bounds[2],sat_data.bounds[3]]]) # top right corners_lon,corners_lat = transform(p2,p1,corners[:,0],corners[:,1]) # plot imagery show(sat_data,ax=ax[0],cmap="gray") # handle axes percent = xcorr_percent_thresh*100 plt.suptitle("Cluster " + str(c) + " Polarizations (top " + str(percent) + "% of events)") # make array for storage back_azimuths = np.empty((0,1),"float64") baz_event_index = np.empty((0,1),"float64") # plot pca compoments that exceed norm threshold # be wary- the transformed coordinate system's x-axis is meters north and the y-axis is meters east, so the pca_first_component[~,0] (which is cartesian x) is in [L] east # and therefore along the transformed y-axis and the pca_first_component[~,1] (which is cartesian y) is in [L] north and therefore along the transformed x-axis count = 0 for s in range(len(all_first_components)): # only plot and save results if length of resultant vector has a norm exceeding the threshold if np.linalg.norm(all_first_components[s,:]) > norm_thresh: # calculate back azimuths and save in array baz = compute_baz(all_first_components[s,:]) back_azimuths = np.vstack((back_azimuths,baz)) baz_event_index = np.vstack(event_index[s]) count += 1 # compute histogram of back azimuths baz_hist,edges = np.histogram(back_azimuths,bins=np.linspace(0,360,37)) # set up colormap colors = [ cm.plasma(x) for x in np.linspace(0,1,max(baz_hist)+1)] # plot all rays in 10-degree bins with length proportional to # of windows in that bin rays = np.zeros((36,2),'float64') scale = 40000 max_width = 2*np.pi*scale/36 max_width = 8 for i in range(36): angle = i*10 rays[i,:] = compute_rays(angle) rayLength = baz_hist[i]/max(baz_hist)*scale [x,y] = [np.linspace(avg_stat_x,avg_stat_x+rays[i,0]*rayLength,100), np.linspace(avg_stat_y,avg_stat_y+rays[i,1]*rayLength,100)] lwidths=np.linspace(0,max_width,100)*rayLength/scale points = np.array([x, y]).T.reshape(-1, 1, 2) segments = np.concatenate([points[:-1], points[1:]], axis=1) lc = LineCollection(segments, linewidths=lwidths,color='maroon',alpha=0.5,zorder=len(all_first_components)*10) ax[0].add_collection(lc) # define, transform, and plot lat/lon grid lat = [-74,-75] lon = [-98,-100,-102,-104] x_lab_pos=[] y_lab_pos=[] line = np.linspace(corners_lat[0]+1,corners_lat[2]-1,100) for l in lon: line_x,line_y = transform(p1,p2,np.linspace(l,l,100),line) ax[0].plot(line_x,line_y,linestyle='--',linewidth=1,c='gray',alpha=1) y_lab_pos.append(line_y[np.argmin(np.abs(line_x-corners[0,0]))]) line = np.linspace(corners_lon[0]-2,corners_lon[1]+1,100) for l in lat: line_x,line_y = transform(p1,p2,line,np.linspace(l,l,100)) ax[0].plot(line_x,line_y,linestyle='--',linewidth=1,c='gray',alpha=1) x_lab_pos.append(line_x[np.argmin(np.abs(line_y-corners[0,1]))]) ax[0].set_xlim([corners[0,0],corners[2,0]]) ax[0].set_ylim([corners[0,1],corners[1,1]]) ax[0].set_xticks(x_lab_pos) ax[0].set_xticklabels(labels=[str(lat[0]) + '$^\circ$',str(lat[1]) + '$^\circ$']) ax[0].set_xlabel("Latitude") ax[0].set_yticks(y_lab_pos) ax[0].set_yticklabels(labels=[str(lon[0]) + '$^\circ$',str(lon[1]) + '$^\circ$',str(lon[2]) + '$^\circ$',str(lon[3]) + '$^\circ$']) ax[0].set_ylabel("Longitude") # colors k1 = plt.rcParams['axes.prop_cycle'].by_key()['color'][0] k2 = plt.rcParams['axes.prop_cycle'].by_key()['color'][1] # plot ice front front_x = [-1.644e6,-1.64e6,-1.638e6,-1.626e6,-1.611e6,-1.6095e6,-1.6055e6,-1.6038e6,-1.598e6,-1.6005e6,-1.6e6,-1.595e6] front_y = [-3.34e5,-3.33e5,-3.44e5,-3.445e5,-3.475e5,-3.43e5,-3.4e5,-3.413e5,-3.356e5,-3.32e5,-3.289e5,-3.29e5] ax[0].plot(front_x, front_y,c=k1,zorder=len(all_first_components)*10) # plot rift rift1_x = [-1.63e6,-1.6233e6,-1.6132e6,-1.6027e6] rift1_y = [-3.255e5,-3.237e5,-3.236e5,-3.281e5] ax[0].plot(rift1_x,rift1_y,c=k2,zorder=len(all_first_components)*10) rift2_x = [-1.63e6,-1.6232e6,-1.6132e6] rift2_y = [-3.28e5,-3.2706e5,-3.236e5] ax[0].plot(rift2_x,rift2_y,c=k2,zorder=len(all_first_components)*10) # plot station locations ax[0].scatter(stat_x,stat_y,marker="^",c='black',zorder=count*10) # add north arrow ax[0].arrow(avg_stat_x-65000,avg_stat_y+70000,-10000,0,width = 500,head_width=3000,head_length=3000,fc="k", ec="k",zorder=len(all_first_components)*10) ax[0].text(avg_stat_x-74000,avg_stat_y+73000,"N",size="large",zorder=len(all_first_components)*10) # add distance scale ax[0].plot(np.linspace(avg_stat_x-60000,avg_stat_x-80000,10),np.ones(10)*avg_stat_y-30000,c="k") ax[0].text(avg_stat_x-82000,avg_stat_y-26000,"20 km",size="medium") # plot events and centroid waveFile = h5py.File(templatePath + str(numCluster) + "/aligned_cluster" + str(c) + "_waveform_matrix_" + str(prefiltFreq[0]) + "-" + str(prefiltFreq[1]) + "Hz.h5","r") alignedWaves = np.array(list(waveFile["waveforms"])) waveFile.close() alignedWave_fs = 2 t = np.linspace(0,snipLen*3,(snipLen*alignedWave_fs+1)*3) maxAmps = np.zeros((len(threshInd),1),'float64') for w in range(len(threshInd)): ax[1].plot(t,alignedWaves[threshInd[w]],'k',alpha=0.1) maxAmps[w] = np.max(np.abs(alignedWaves[threshInd[w]])) ax[1].plot(t,centroids[c].ravel()/np.max(abs(centroids[c].ravel()))*np.median(maxAmps)) ax[1].set_ylim([-4*np.median(maxAmps),4*np.median(maxAmps)]) ax[1].title.set_text('Centroid and Events Used in Polarization Analysis') ax[1].ticklabel_format(style='sci', axis='y',scilimits=(0,0)) ax[1].set_xlabel("Time (seconds)") ax[1].set_ylabel("Velocity (m/s)") ax[1].set_xlim([t[0],t[-1]]) clusterChans = ["HHZ","HHN","HHE"] ax[1].set_xticks([0,snipLen/2,snipLen,snipLen*3/2,snipLen*2,snipLen*5/2,snipLen*3]) xPos = [snipLen,snipLen*2] for xc in xPos: ax[1].axvline(x=xc,color='k',linestyle='--') ax[1].set_xticklabels(['0','250\n'+clusterChans[0],'500 0 ','250\n'+clusterChans[1],'500 0 ','250\n' + clusterChans[2],'500']) ax[1].grid(linestyle=":") ax[1].grid() plt.tight_layout() #plt.show() plt.savefig(outPath + "win_len_" + str(winLen) + "/norm>" + str(norm_thresh) + "/top_" + str(percent) + "%/" + str(numCluster)+ "/cluster_" + str(c) + "_polarizations.png") plt.close() # save actual backazimuth data outFile = h5py.File(outPath + "win_len_" + str(winLen) + "/norm>" + str(norm_thresh) + "/top_" + str(percent) + "%/" + str(numCluster) + "/cluster_" + str(c) + "_backazimuths.h5","w") outFile.create_dataset("backazimuths",data=back_azimuths) outFile.create_dataset("index",data=baz_event_index) outFile.close()