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025-map-epicentre-Vanuatu-2020-05-16.py
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import folium
from obspy.geodetics.base import locations2degrees
import math
import numpy as np
from numpy import arctan2, sqrt
import numexpr as ne
from sympy import *
from numpy import cross, eye, dot
from scipy.linalg import expm, norm
PI = 3.14159
R = 6367.5
def M(axis, theta):
return expm(cross(eye(3), axis/norm(axis)*theta))
#v, axis, theta = [3,5,0], [4,4,1], 1.2
#M0 = M(axis, theta)
#print(dot(M0,v))
# [ 2.74911638 4.77180932 1.91629719]
#input("Hit enter to continue")
def rotation_matrix(axis, theta):
"""
Return the rotation matrix associated with counterclockwise rotation about
the given axis by theta radians.
"""
axis = np.asarray(axis)
axis = axis / math.sqrt(np.dot(axis, axis))
a = math.cos(theta / 2.0)
b, c, d = -axis * math.sin(theta / 2.0)
aa, bb, cc, dd = a * a, b * b, c * c, d * d
bc, ad, ac, ab, bd, cd = b * c, a * d, a * c, a * b, b * d, c * d
return np.array([[aa + bb - cc - dd, 2 * (bc + ad), 2 * (bd - ac)],
[2 * (bc - ad), aa + cc - bb - dd, 2 * (cd + ab)],
[2 * (bd + ac), 2 * (cd - ab), aa + dd - bb - cc]])
#v = [3, 5, 0]
#axis = [4, 4, 1]
#theta = 1.2
#print(np.dot(rotation_matrix(axis, theta), v))
# [ 2.74911638 4.77180932 1.91629719]
#input("Hit enter to continue")
def appendSpherical_np(xyz):
ptsnew = np.hstack((xyz, np.zeros(xyz.shape)))
xy = xyz[:,0]**2 + xyz[:,1]**2
ptsnew[:,3] = np.sqrt(xy + xyz[:,2]**2)
ptsnew[:,4] = np.arctan2(np.sqrt(xy), xyz[:,2]) # for elevation angle defined from Z-axis down
#ptsnew[:,4] = np.arctan2(xyz[:,2], np.sqrt(xy)) # for elevation angle defined from XY-plane up
ptsnew[:,5] = np.arctan2(xyz[:,1], xyz[:,0])
return ptsnew
def asCartesian(rthetaphi):
#takes list rthetaphi (single coord)
r = rthetaphi[0]
theta = rthetaphi[1]*PI/180 # to radian
phi = rthetaphi[2]*PI/180
x = r * math.sin( theta ) * math.cos( phi )
y = r * math.sin( theta ) * math.sin( phi )
z = r * math.cos( theta )
return [x,y,z]
def asSpherical(xyz):
#takes list xyz (single coord)
x = xyz[0]
y = xyz[1]
z = xyz[2]
r = sqrt(x*x + y*y + z*z)
theta = math.acos(z/r)*180/ PI #to degrees
phi = math.atan2(y,x)*180/ PI
return [r,theta,phi]
def cart2sph(x,y,z, ceval=ne.evaluate):
""" x, y, z : ndarray coordinates
ceval: backend to use:
- eval : pure Numpy
- numexpr.evaluate: Numexpr """
azimuth = ceval('arctan2(y,x)')
xy2 = ceval('x**2 + y**2')
elevation = ceval('arctan2(z, sqrt(xy2))')
r = eval('sqrt(xy2 + z**2)')
return azimuth, elevation, r
#v = [-2.13091326,-0.0058279,0.83697319]
#x = v[0]
#y = v[1]
#z = v[2]
#r = math.sqrt(x*x + y*y + z*z)
#phi = math.atan2(y,x)
#theta = math.acos(z/r)
#input("Hit enter to continue")
#print(r, phi, theta)
#test = asCartesian(asSpherical([-2.13091326,-0.0058279,0.83697319]))
#print(test)
URL = 'https://earthquake.usgs.gov/earthquakes/eventpage/us70009hnm/executive'
EQNAME = 'M5.9 - 60km E of Lakatoro, Vanuatu'
EQLAT = -16.0936
EQLON = 167.9806
EQZ = 165.66
EQTIME = '2020-05-16T03:15:43.425Z'
FILE_STEM = 'Vanuatu-2020-05-16'
MAPFILE=FILE_STEM + '-map.png'
LOGOS='logos.png'
# Things to change once for your station
NETWORK = 'AM' # AM = RaspberryShake network
STATION = "R7FA5" # Station code of local station to plot
STA_LAT = 50.2609 # Latitude of local station
STA_LON = -5.0434 # Longitude of local station
CHANNEL = 'EHZ' # channel to grab data for (e.g. EHZ, SHZ, EHE, EHN)
LOCATION = "Truro School"
# Plot the epicentre and seismometer on the map
map = folium.Map(location=[EQLAT, EQLON],zoom_start=2,tiles='Stamen Terrain')
# The following arguments will centre the map on Caustic.
map = folium.Map(location=[47.8288, 1.9324],zoom_start=6,tiles='Stamen Terrain')
# theta is 90 - latitude
# phi is longitude but phi 180-360 becomes negative longitude
# r = radius of earth (6,378 EQ + 6,357 POLE) / 2 = 6367.5
dend = []
dstart = []
for phi in range(0, 360, 1):
theta = 140
dend.append(asCartesian([R, theta, phi]))
omega = 96.7
dstart.append(asCartesian([R, omega, phi]))
dendt = []
axis = [math.cos((90+EQLON)/180*PI), math.sin((90+EQLON)/180*PI), 0]
theta = (90-EQLAT)/180*PI
for i in range(len(dend)):
dend[i]=np.dot(rotation_matrix(axis, theta), dend[i])
send = asSpherical(dend[i])
lat = 90 - (send[1])
long = send[2]
dendt.append([lat, long])
dstartt = []
axis = [math.cos((90+EQLON)/180*PI), math.sin((90+EQLON)/180*PI), 0]
theta = (90-EQLAT)/180*PI
for i in range(len(dstart)):
dstart[i]=np.dot(rotation_matrix(axis, theta), dstart[i])
sstart = asSpherical(dstart[i])
lat = 90 - (sstart[1])
long = sstart[2]
dstartt.append([lat, long])
linepoints=[]
for lon in range(-180, 180, 10):
# Northern hemisphere
DISTANCE=locations2degrees(EQLAT, EQLON, 0, lon) # Station dist in degrees from epicentre
bestfit = abs(DISTANCE-140)
bestloc = [0, lon]
plotit = False
for lat in range(0, 91, 1):
DISTANCE=locations2degrees(EQLAT, EQLON, lat, lon) # Station dist in degrees from epicentre
if DISTANCE > 139.6 and DISTANCE < 140.4:
plotit = True
for latf in range((lat-1)*300, (lat+2)*300, 1):
DISTANCE=locations2degrees(EQLAT, EQLON, latf/300, lon)
fit = abs(DISTANCE-140)
if fit < bestfit:
bestfit = fit
bestloc = [latf/300, lon]
if plotit == True:
linepoints.append(bestloc)
# southern hemisphere
DISTANCE=locations2degrees(EQLAT, EQLON, 0, lon) # Station dist in degrees from epicentre
bestfit = abs(DISTANCE-140)
bestloc = [0, lon]
plotit = False
for lat in range(-90, 1, 1):
DISTANCE=locations2degrees(EQLAT, EQLON, lat, lon) # Station dist in degrees from epicentre
if DISTANCE > 139.6 and DISTANCE < 140.4:
plotit = True
for latf in range((lat-1)*300, (lat+2)*300, 1):
DISTANCE=locations2degrees(EQLAT, EQLON, latf/300, lon)
fit = abs(DISTANCE-140)
if fit < bestfit:
bestfit = fit
bestloc = [latf/300, lon]
if plotit == True:
linepoints.append(bestloc)
#folium.vector_layers.PolyLine(linepoints, color="green", weight=2, opacity=0.8, smooth_factor=0.5).add_to(map)
line = []
counter = 0
for i, dp in enumerate(dendt):
if i > 0:
if abs(dendt[i-1][0] - dendt[i][0]) > 10 or abs(dendt[i-1][1] - dendt[i][1]) > 10:
folium.vector_layers.PolyLine(line, color="red", weight=3, opacity=1.0, smooth_factor=0.5).add_to(map)
line = []
if dp[0] < -90:
dp[0] += 180
if dp[0] > 90:
dp[0] -= 180
if dp[1] < -180:
dp[1] += 360
if dp[1] > 180:
dp[1] -= 360
line.append(dp)
folium.vector_layers.PolyLine(line, color="red", weight=3, opacity=1.0, smooth_factor=0.5).add_to(map)
line = []
counter = 0
for i, dp in enumerate(dstartt):
if i > 0:
if abs(dstartt[i-1][0] - dstartt[i][0]) > 10 or abs(dstartt[i-1][1] - dstartt[i][1]) > 10:
folium.vector_layers.PolyLine(line, color="red", weight=3, opacity=1.0, smooth_factor=0.5).add_to(map)
line = []
if dp[0] < -90:
dp[0] += 180
if dp[0] > 90:
dp[0] -= 180
if dp[1] < -180:
dp[1] += 360
if dp[1] > 180:
dp[1] -= 360
line.append(dp)
folium.vector_layers.PolyLine(line, color="red", weight=3, opacity=1.0, smooth_factor=0.5).add_to(map)
'''
STATIONS = [
[39.8739, 25.2737, 139.0268, 8.08521143225e-08, 'R9AC0', 15464017.12610259, 63.8190132031462, 314.36286748274676],
[48.2162, 16.3481, 139.4912, 1.24012198719e-07, 'R21E0', 15512026.232576072, 45.386903080507025, 330.48708270854775],
[51.3423, 9.0719, 140.0754, 2.86703703369e-08, 'RC4FB', 15575527.635725247, 33.23599842700995, 339.1674835760409],
[40.7297, 22.9923, 140.1738, 4.13058393523e-08, 'RC574', 15591170.019331088, 60.498471853957795, 316.790179065272],
[51.4234, 6.8339, 140.7428, 6.0645088915e-08, 'RDE9F', 15649547.206057, 30.011949426045884, 341.0963191101199],
[46.973, 15.3948, 140.8208, 2.81219932953e-08, 'R830F', 15660220.298032654, 45.19373918516495, 329.8180786207821],
[37.973, 23.7496, 140.9189, 5.08230866469e-08, 'R7AD4', 15675231.197069323, 64.27509328069624, 312.51392119632123],
[46.3333, 15.9599, 140.9848, 1.8184929551e-08, 'RCF63', 15678722.622802122, 46.49579256213755, 328.66368400640465],
[50.955, 7.1663, 141.0401, 2.77531725314e-08, 'RB99F', 15682738.027138494, 30.777767617374888, 340.43823999631377],
[50.2252, 8.5907, 141.1751, 9.32369137867e-08, 'RA52C', 15698050.774803933, 33.293873827404056, 338.6062523520899],
[49.964, 8.8242, 141.3091, 7.73763462492e-08, 'R74D9', 15713030.505896715, 33.804801530906445, 338.1777091962111],
[48.1441, 12.287, 141.3893, 3.92489175662e-08, 'R06C4', 15722782.58651194, 40.02431899045048, 333.5340139097541],
[50.1081, 7.8955, 141.5161, 2.26880020602e-08, 'R0333', 15735927.126348088, 32.37494113266299, 339.1029048180517],
[39.5405, 21.7645, 141.5738, 8.58100145689e-08, 'RAC91', 15747320.91143851, 60.405997753038875, 315.8870849930575],
[50.9459, 5.3051, 141.6273, 1.07104225243e-07, 'R78B8', 15747881.05902008, 28.074279350863975, 342.06159555428354],
[48.1802, 11.566, 141.6691, 8.23380529745e-08, 'R4A43', 15753809.657778796, 38.99492989160851, 334.16664813071804],
[47.4775, 12.5303, 141.7881, 4.08355153448e-08, 'R6B73', 15767348.634716062, 40.900511430314495, 332.6404427704048],
[49.3243, 8.6952, 141.8854, 4.72325183687e-08, 'R7266', 15777262.278000155, 34.065110096124954, 337.7168934997417],
[52.4595, -1.9369, 141.9411, 8.07108824554e-07, 'R8118', 15781960.760614118, 16.451417886967825, 349.67343004257185],
[39.6577, 20.8424, 142.1317, 4.0037490716e-08, 'R1388', 15809244.968678603, 59.23388036395095, 316.63182100347433],
[49.8739, 6.2069, 142.2818, 9.75732727564e-08, 'RCEAB', 15820966.248155689, 30.06173508736019, 340.40819745854367],
[51.3243, 1.413, 142.326, 9.34488989481e-07, 'R8C09', 15825170.411010163, 22.042485089244035, 345.9001941804129],
[51.6486, -0.2178, 142.3846, 1.19991870698e-07, 'R0AEF', 15831509.249612723, 19.402947017522838, 347.6360727565328],
[51.6036, -0.3337, 142.451, 1.32745781091e-07, 'R0887', 15838889.695852866, 19.24399094062836, 347.7227018187861],
[51.4595, -0.0145, 142.52, 9.20167598181e-08, 'R2E51', 15846599.297615675, 19.796556176448803, 347.3380303820712],
[51.4234, -0.0722, 142.5661, 4.41461436921e-07, 'R63BA', 15851735.500129828, 19.72348510103283, 347.3735289040536],
[51.3694, -0.0722, 142.6169, 7.52574441491e-08, 'RCC45', 15857390.435926516, 19.746979319482367, 347.34371049929035],
[45.9369, 13.0459, 142.6926, 5.91814131326e-08, 'RC01C', 15868464.006681547, 42.92982544353731, 330.5364368375782],
[48.6577, 7.8152, 142.7607, 3.93093117343e-07, 'R4B4A', 15874660.529874427, 33.25702570840153, 337.9001004221063],
[48.6396, 7.7447, 142.8014, 5.59079951175e-08, 'R60B1', 15879189.883457486, 33.1661588739929, 337.94807612388104],
[48.5135, 7.6979, 142.9237, 3.20104435716e-07, 'RA7C1', 15892816.31329672, 33.18718121640123, 337.877203766338],
[47.4685, 8.9568, 143.3026, 3.76069604302e-08, 'R7B2E', 15935347.134961065, 35.819513671601946, 335.7417032994448],
[46.7748, 10.1561, 143.3614, 9.0894392508e-08, 'R3EDD', 15942228.94002849, 38.121506197903884, 333.9564403829112],
[47.3423, 8.5896, 143.5503, 3.38895483384e-08, 'R03EA', 15962889.109817965, 35.37698095181571, 335.95751799710655],
[47.8108, 7.3379, 143.6426, 7.88474960924e-08, 'R79D9', 15972870.846218215, 33.16126376874516, 337.57289695680373],
[47.6847, 7.4818, 143.6943, 6.89762168935e-08, 'R3774', 15978660.330086328, 33.469777065949536, 337.3204837508338],
[47.6937, 7.3481, 143.7365, 5.32719718545e-08, 'RF5BC', 15983344.958010405, 33.262782150363186, 337.45550813108116],
[47.6486, 7.2625, 143.8059, 7.43248010302e-08, 'R9DBD', 15991061.48833064, 33.16758638776435, 337.4953321114253],
[47.6126, 7.2303, 143.8479, 3.53749610299e-07, 'R9D74', 15995735.964670816, 33.14577901869697, 337.4928599005947],
[43.5946, 13.5099, 144.1286, 2.38406744292e-07, 'RF7E5', 16028986.757775346, 45.75965395991925, 327.40367424975835],
[46.6847, 7.683, 144.444, 1.84838254678e-07, 'R0C73', 16062300.992469292, 34.53495626041903, 336.1799603274634],
[50.2523, -5.0309, 144.5607, 2.51145293762e-07, 'R7FA5', 16073291.109304361, 12.281288488578284, 351.87865795451887],
[50.2072, -5.3075, 144.642, 6.40721692254e-08, 'R480A', 16082321.111570034, 11.84150678184185, 352.15963946080495],
[50.1081, -5.1702, 144.7205, 2.64242225928e-07, 'R303A', 16091069.94561483, 12.095280303645783, 351.97633823192405],
[46.3063, 7.5646, 144.8011, 2.59958774876e-07, 'R2AEB', 16102087.825666783, 34.65440524888269, 335.9265473703645],
[46.5225, 6.5733, 145.0048, 2.74433362573e-08, 'RD14A', 16124529.877269402, 32.966298390593025, 337.1196870664719],
[45.5586, 8.158, 145.168, 4.60441850113e-07, 'R976C', 16143155.27180041, 36.168169327888016, 334.5907317093059],
[47.9009, 1.8814, 145.3455, 8.36002571101e-08, 'S7A70', 16161490.230750268, 24.604960440739557, 343.1485930842906],
[47.8288, 1.9324, 145.3965, 6.26512975665e-07, 'R51FD', 16167182.75630816, 24.730229658813684, 343.0415486458332],
[44.045, 10.0522, 145.5144, 1.19852495572e-07, 'RF212', 16182414.243399696, 40.360204199417744, 331.09795579490924],
[44.7838, 7.9972, 145.8573, 9.17646713394e-08, 'R4FB1', 16219982.196730752, 36.58369347328169, 333.94446752315616],
[44.7838, 6.8674, 146.3284, 8.8959736833e-08, 'R7CE4', 16272168.531511128, 34.82697852931433, 335.10896602059364],
[45.1802, 5.726, 146.4516, 1.97668119373e-08, 'R7A15', 16285573.409416324, 32.69184757052468, 336.71352442451627],
[45.7477, 3.0599, 146.9137, 1.78557865177e-07, 'R86F8', 16336383.342223246, 27.92976715054852, 340.15944210589885],
[44.2072, 5.0778, 147.519, 1.37479772081e-07, 'RC7DF', 16404354.204405338, 32.43963674649258, 336.46912822273646],
[15.5045, 20.4563, 148.3249, 2.34908562585e-08, 'RA77C', 16508080.183242608, 94.08223112632622, 274.724478184751],
[44.8468, 0.2542, 148.5904, 2.28835896918e-07, 'RB1D6', 16522453.564030897, 23.765449904187925, 342.7418089265241],
[43.3063, -0.3591, 150.1771, 7.02172507817e-08, 'R7F64', 16698921.543941455, 23.696663499459525, 342.3232616513428],
[42.8739, 0.0123, 150.4587, 8.19871805497e-08, 'R0CA8', 16730349.43788516, 24.684836419617433, 341.47249041736734],
[43.2613, -2.9321, 150.9065, 1.77826384688e-07, 'R12EB', 16779484.17465724, 18.912428472926837, 345.8141881933233],
[43.3694, -4.115, 151.0687, 6.19362193259e-08, 'R9081', 16797301.650472563, 16.586000795386173, 347.55818235728253],
[43.3604, -5.9107, 151.4153, 7.75969544797e-08, 'R0D06', 16835553.593549155, 13.092527692671533, 350.1542839395658],
[42.3243, -8.652, 152.8045, 7.3528983592e-08, 'R29F5', 16989607.780029785, 7.90396847118016, 353.9409527560108],
[40.1982, -8.4452, 154.884, 4.44281770378e-08, 'RC085', 17220640.77622039, 8.969649704782185, 352.8988608463395]
]
'''
# Now you can add markers to show each station in turn
# station is a simple list showing the stationID, location, lat, long, for each station in turn
#for station in STATIONS:
# folium.Marker(location=[station[0], station[1]], popup=station[4], icon=folium.Icon(color='orange')).add_to(map)
# Finally, add a red marker for UDDGP, the deepest borehole in mainland UK
#folium.Marker(location=[47.8288, 1.9324], popup='Caustic', icon=folium.Icon(color='red')).add_to(map)
folium.Marker(location=[EQLAT, EQLON], popup='Earthquake_location',
icon=folium.Icon(color='orange')).add_to(map)
folium.Marker(location=[STA_LAT, STA_LON], popup=LOCATION,
icon=folium.Icon(color='red')).add_to(map)
map.save(FILE_STEM + '-earthquakemap.html')
'''
if plotit == True:
folium.Circle(
location=[bestloc[0],bestloc[1]],
popup=str(lat) + " " + str(lon) + " " + str(DISTANCE),
radius=1,
color='crimson',
fill=True,
fill_color='crimson'
).add_to(map)
if plotit == True:
folium.Circle(
location=[bestloc[0],bestloc[1]+360],
popup=str(lat) + " " + str(lon) + " " + str(DISTANCE),
radius=1,
color='crimson',
fill=True,
fill_color='crimson'
).add_to(map)
if plotit == True:
folium.Circle(
location=[bestloc[0],bestloc[1]-360],
popup=str(lat) + " " + str(lon) + " " + str(DISTANCE),
radius=1,
color='crimson',
fill=True,
fill_color='crimson'
).add_to(map)
if plotit == True:
folium.Circle(
location=[bestloc[0],bestloc[1]],
popup=str(lat) + " " + str(lon) + " " + str(DISTANCE),
radius=1,
color='crimson',
fill=True,
fill_color='crimson'
).add_to(map)
if plotit == True:
folium.Circle(
location=[bestloc[0],bestloc[1]+360],
popup=str(lat) + " " + str(lon) + " " + str(DISTANCE),
radius=1,
color='crimson',
fill=True,
fill_color='crimson'
).add_to(map)
if plotit == True:
folium.Circle(
location=[bestloc[0],bestloc[1]-360],
popup=str(lat) + " " + str(lon) + " " + str(DISTANCE),
radius=1,
color='crimson',
fill=True,
fill_color='crimson'
).add_to(map)
'''