Description Usage Arguments Details Value Author(s) References Examples
Mogi's model (point source in elastic half-space)
1 | mogi1(d = 1, f = 1, a = 0.1, P = 1e+05, mu = 4e+09, nu = 0.25)
|
d |
distance along surface, m |
f |
depth to source, m |
a |
radius of sphere injected, m |
P |
hydrostatic pressure of injection, Pa |
mu |
shear modulus |
nu |
Poisson's ratio |
Units should be constistent, e.g.: R, F, A, Ur and Uz in m imply V in m3; E, mu and P in Pa; Dt in rad, Er, Et and nu dimensionless.
list
ur |
radial displacement |
uz |
vertical displacement |
Jonathan M. Lees<jonathan.lees@unc.edu>
Mogi, K., Relations between the eruptions of various volcanoes and the deformations of the ground surfaces around them, Bull. Earthquake Res. Inst. Univ. Tokyo, 36, 99-134, 1958.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 | P=1e5
a = 0.1
f = 1
nu=0.25
E = 10e9
mu = E/(2*(1+nu));
#############
rho = seq(from=-3, to=3, by=0.1)
o1 = mogi1(a, P, rho, mu, f)
plot(rho, o1$uz)
plot(rho, o1$ud)
EX = seq(from=-3, by=.1, to= 3)
mm = RPMG::meshgrid(EX, EX)
rho = sqrt(mm$x^2 + mm$y^2)
o1 = mogi1(a, P, rho, mu, f)
#############
image(EX, EX, o1$uz, asp=1)
contour( EX, EX, o1$uz, add=TRUE)
#############
image(EX, EX, o1$ur, asp=1)
contour( EX, EX, o1$ur, add=TRUE)
#############
image(EX, EX, o1$uz, asp=1)
contour( EX, EX, o1$ur, add=TRUE)
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