def getWidth(self):
"""
Compute average rupture width (km) for all quadrilaterals defined for
the rupture.
Returns:
float: Average width in km of all rupture quadrilaterals.
"""
wsum = 0.0
for quad in self._quadrilaterals:
wsum = wsum + utils.get_quad_width(quad)
mwidth = (wsum / len(self._quadrilaterals))
return mwidth
def getIndividualWidths(self):
"""
Return an array of rupture widths (km), one for each quadrilateral
defined for the rupture.
Returns:
Array of quad widths in km of all rupture quadrilaterals.
"""
nquad = self.getNumQuads()
widths = np.zeros(nquad)
for i in range(nquad):
q = self._quadrilaterals[i]
widths[i] = utils.get_quad_width(q)
return widths
def getArea(self):
"""
Compute area of rupture.
Returns:
float: Rupture area in square km.
"""
asum = 0.0
for quad in self._quadrilaterals:
width = utils.get_quad_width(quad)
length = utils.get_quad_length(quad)
asum = asum + width * length
return asum
def getDepthAtPoint(self, lat, lon):
SMALL_DISTANCE = 2e-03 # 2 meters
depth = np.nan
tmp, _ = self.computeRjb(np.array([lon]), np.array([lat]),
np.array([0]))
if tmp > SMALL_DISTANCE:
return depth
i = 0
imin = -1
dmin = 9999999999999999
for quad in self.getQuadrilaterals():
pX = Vector.fromPoint(Point(lon, lat, 0))
points = np.reshape(np.array([pX.x, pX.y, pX.z]), (1, 3))
rjb = utils._quad_distance(quad, points, horizontal=True)
if rjb[0][0] < dmin:
dmin = rjb[0][0]
imin = i
i += 1
quad = self._quadrilaterals[imin]
P0, P1, P2, P3 = quad
# project the quad and the point in question to orthographic defined by
# quad
xmin = np.min([P0.x, P1.x, P2.x, P3.x])
xmax = np.max([P0.x, P1.x, P2.x, P3.x])
ymin = np.min([P0.y, P1.y, P2.y, P3.y])
ymax = np.max([P0.y, P1.y, P2.y, P3.y])
proj = OrthographicProjection(xmin, xmax, ymax, ymin)
# project each vertex of quad (at 0 depth)
s0x, s0y = proj(P0.x, P0.y)
s1x, s1y = proj(P1.x, P1.y)
s2x, s2y = proj(P2.x, P2.y)
s3x, s3y = proj(P3.x, P3.y)
sxx, sxy = proj(lon, lat)
# turn these to vectors
s0 = Vector(s0x, s0y, 0)
s1 = Vector(s1x, s1y, 0)
s3 = Vector(s3x, s3y, 0)
sx = Vector(sxx, sxy, 0)
# Compute vector from s0 to s1
s0s1 = s1 - s0
# Compute the vector from s0 to s3
s0s3 = s3 - s0
# Compute the vector from s0 to sx
s0sx = sx - s0
# cross products
s0normal = s0s3.cross(s0s1)
dd = s0s1.cross(s0normal)
# normalize dd (down dip direction)
ddn = dd.norm()
# dot product
sxdd = ddn.dot(s0sx)
# get width of quad (convert from km to m)
w = utils.get_quad_width(quad) * 1000
# Get weights for top and bottom edge depths
N = utils.get_quad_normal(quad)
V = utils.get_vertical_vector(quad)
dip = np.degrees(np.arccos(Vector.dot(N, V)))
ws = (w * np.cos(np.radians(dip)))
wtt = (ws - sxdd) / ws
wtb = sxdd / ws
# Compute the depth of of the plane at Px:
depth = wtt * P0.z + wtb * P3.z * 1000
return depth