def calcGCells(pos, mesh, rho, nInt=0):
"""
"""
G = pg.RMatrix(len(pos), mesh.cellCount())
rules = pg.IntegrationRules()
for i, p in enumerate(pos):
for cId, c in enumerate(mesh.cells()):
Z = 0.0
if nInt == 0:
for j in range(c.nodeCount()):
A = c.node(j)
B = c.node((j + 1) % c.nodeCount())
# negative Z as all cells are numbered counterclockwise
Z -= 2.0 * pg.lineIntegraldGdz(A.pos() - p, B.pos() - p)
# Z += lineIntegralZ(A.pos() - p, B.pos() - p)
else:
for j, t in enumerate(rules.abscissa(c, nInt)):
w = rules.weights(c, nInt)[j]
Z += 2.0 * w * functor(c.shape().xyz(t), p)
# for j, t in enumerate(rules.quaAbscissa(nInt)):
# w = rules.quaWeights(nInt)[j]
# Z += 2.0 * w * functor(c.shape().xyz(t), p)
Z *= c.jacobianDeterminant()
# negative Z because all cells are numbered counterclockwise
G[i][c.id()] = Z
return G * rho * 6.67384e-11 * 1e5, G
def calcGCells(pos, mesh, rho, nInt=0):
"""
"""
G = pg.RMatrix(len(pos), mesh.cellCount())
rules = pg.IntegrationRules()
for i, p in enumerate(pos):
for cId, c in enumerate(mesh.cells()):
Z = 0.
if nInt == 0:
for j in range(c.nodeCount()):
A = c.node(j)
B = c.node((j + 1) % c.nodeCount())
# negative Z as all cells are numbered counterclockwise
Z -= 2.0 * pg.lineIntegraldGdz(A.pos() - p, B.pos() - p)
# Z += lineIntegralZ(A.pos() - p, B.pos() - p)
else:
for j, t in enumerate(rules.abscissa(c, nInt)):
w = rules.weights(c, nInt)[j]
Z += 2.0 * w * functor(c.shape().xyz(t), p)
# for j, t in enumerate(rules.quaAbscissa(nInt)):
# w = rules.quaWeights(nInt)[j]
# Z += 2.0 * w * functor(c.shape().xyz(t), p)
Z *= c.jacobianDeterminant()
# negative Z because all cells are numbered counterclockwise
G[i][c.id()] = Z
return G * rho * 6.67384e-11 * 1e5, G
def calcPolydgdz(pnts, poly, density):
"""
Calculate gravimetric response at given points for a polygon with
relative density change. pnts must be numbered clockwise. Otherwise
change the sign of the result. Return values are in mGal.
"""
gz = pg.RVector(len(pnts), 0.0)
for i, p in enumerate(pnts):
for j in range(len(poly)):
a = poly[j]
b = poly[(j + 1) % len(poly)]
gz[i] += pg.lineIntegraldGdz(a - p, b - p)
# gz[i] += lineIntegralZ(a - p, b - p)
return gz * density * 2.0 * 6.67384e-11 * 1e5
def calcPolydgdz(pnts, poly, density):
"""
Calculate gravimetric response at given points for a polygon with
relative density change. pnts must be numbered clockwise. Otherwise
change the sign of the result. Return values are in mGal.
"""
gz = pg.RVector(len(pnts), 0.0)
for i, p in enumerate(pnts):
for j in range(len(poly)):
a = poly[j]
b = poly[(j + 1) % len(poly)]
gz[i] += pg.lineIntegraldGdz(a - p, b - p)
# gz[i] += lineIntegralZ(a - p, b - p)
return gz * density * 2.0 * 6.67384e-11 * 1e5
def calcGBounds(pos, mesh, rho):
""" ??
"""
G = pg.RMatrix(len(pos), mesh.cellCount())
for i, p in enumerate(pos):
for cId, b in enumerate(mesh.boundaries()):
A = b.node(0)
B = b.node(1)
# Z = lineIntegralZ(A.pos() - p, B.pos() - p)
Z = pg.lineIntegraldGdz(A.pos() - p, B.pos() - p)
if b.leftCell():
G[i][b.leftCell().id()] = G[i][b.leftCell().id()] - Z
if b.rightCell():
G[i][b.rightCell().id()] = G[i][b.rightCell().id()] + Z
return G * rho * 2.0 * 6.67384e-11 * 1e5, G
def calcGBounds(pos, mesh, rho):
""" ??
"""
G = pg.RMatrix(len(pos), mesh.cellCount())
for i, p in enumerate(pos):
for cId, b in enumerate(mesh.boundaries()):
A = b.node(0)
B = b.node(1)
# Z = lineIntegralZ(A.pos() - p, B.pos() - p)
Z = pg.lineIntegraldGdz(A.pos() - p, B.pos() - p)
if b.leftCell():
G[i][b.leftCell().id()] = G[i][b.leftCell().id()] - Z
if b.rightCell():
G[i][b.rightCell().id()] = G[i][b.rightCell().id()] + Z
return G * rho * 2.0 * 6.67384e-11 * 1e5, G