def misfit(phase_1_fraction):
# Here we define the rock as before.
phase_2_fraction = 1.0 - phase_1_fraction
rock = burnman.Composite(
[minerals.SLB_2011.stishovite(),
minerals.SLB_2011.wuestite()],
[phase_1_fraction, phase_2_fraction])
# Just as in step 1, we want to set which equation of state we use,
# then call burnman.velocities_from_rock, which evaluates the
# elastic properties and seismic velocities at the predefined
# pressures and temperatures
rock.set_method('slb3')
density, vphi, vs = rock.evaluate(['density', 'v_phi', 'v_s'],
pressure, temperature)
# Since we will call this misfit function many times, we may be interested
# in a status report. These lines print some debug output so we
# can keep track of what the script is doing.
print("Calculations are done for:")
rock.debug_print()
# Here we integrate an L2 difference with depth between our calculated seismic
# profiles and PREM. We then return those misfits.
[vs_err, vphi_err,
rho_err] = burnman.compare_l2(depths, [vs, vphi, density],
[seis_vs, seis_vphi, seis_rho])
return vs_err, vphi_err, rho_err
def material_error(x):
_, mat_vs, mat_vphi, mat_rho = eval_material(x)
[rho_err,vphi_err,vs_err]=burnman.compare_l2(depths,
[mat_vs,mat_vphi,mat_rho],
[seis_vs,seis_vphi,seis_rho])
scale = 2700e3-850e3
return vs_err/scale, vphi_err/scale
def material_error(x):
_, mat_vs, mat_vphi, mat_rho = eval_material(x)
[vs_err, vphi_err,
rho_err] = burnman.compare_l2(depths, [mat_vs, mat_vphi, mat_rho],
[seis_vs, seis_vphi, seis_rho])
scale = 2700e3 - 850e3
return vs_err / scale, vphi_err / scale
def misfit(phase_1_fraction):
# Here we define the rock as before.
phase_2_fraction = 1.0-phase_1_fraction
rock = burnman.Composite([phase_1_fraction, phase_2_fraction],
[minerals.SLB_2011.stishovite(), minerals.SLB_2011.wuestite()])
# Just as in step 1, we want to set which equation of state we use,
# then call burnman.velocities_from_rock, which evaluates the
# elastic properties and seismic velocities at the predefined
# pressures and temperatures
rock.set_method('slb3')
density, vp, vs, vphi, K, G = burnman.velocities_from_rock(rock, pressure, temperature)
# Since we will call this misfit function many times, we may be interested
# in a status report. These lines print some debug output so we
# can keep track of what the script is doing.
print "Calculations are done for:"
rock.debug_print()
# Here we integrate an L2 difference with depth between our calculated seismic
# profiles and PREM. We then return those misfits.
[vs_err, vphi_err, rho_err]=burnman.compare_l2(depths,[vs,vphi,density],[seis_vs,seis_vphi,seis_rho])
return vs_err, vphi_err, rho_err
def material_error(amount_perovskite):
rock = burnman.composite ( [ (minerals.Murakami_etal_2012.fe_perovskite(), amount_perovskite),
(minerals.Murakami_etal_2012.fe_periclase(), 1.0 - amount_perovskite) ] )
rock.set_method(method)
print "Calculations are done for:"
rock.debug_print()
mat_rho, mat_vp, mat_vs, mat_vphi, mat_K, mat_G = \
burnman.velocities_from_rock(rock, seis_p, temperature, burnman.averaging_schemes.voigt_reuss_hill())
#[rho_err,vphi_err,vs_err]=burnman.compare_chifactor([mat_vs,mat_vphi,mat_rho],[seis_vs,seis_vphi,seis_rho])
[rho_err,vphi_err,vs_err]=burnman.compare_l2(depths,[mat_vs,mat_vphi,mat_rho],[seis_vs,seis_vphi,seis_rho])
return vs_err, vphi_err
def material_error(amount_perovskite):
#Define composition using the values from Murakami et al. 2012 (Note: fe_perovskite and fe_periclase do not represent pure iron
#endmembers here, but contain 6% and 20% Fe respectively.
rock = burnman.Composite([amount_perovskite, 1.0-amount_perovskite],
[minerals.Murakami_etal_2012.fe_perovskite(),
minerals.Murakami_etal_2012.fe_periclase()])
mat_rho, mat_vp, mat_vs, mat_vphi, mat_K, mat_G = \
burnman.velocities_from_rock(rock, seis_p, temperature, burnman.averaging_schemes.VoigtReussHill())
print "Calculations are done for:"
rock.debug_print()
[vs_err, vphi_err, rho_err] = \
burnman.compare_l2(depths, [mat_vs,mat_vphi,mat_rho], [seis_vs,seis_vphi,seis_rho])
return vs_err, vphi_err
def material_error(amount_perovskite):
#Define composite using the values
rock = burnman.Composite([perovskite, ferropericlase], \
[amount_perovskite, 1.0-amount_perovskite])
# Compute velocities
mat_rho, mat_vp, mat_vs, mat_vphi, mat_K, mat_G = \
rock.evaluate(['density','v_p','v_s','v_phi','K_S','G'], seis_p, temperature)
print("Calculations are done for:")
rock.debug_print()
# Calculate errors
[vs_err, vphi_err, rho_err, K_err, G_err] = \
burnman.compare_l2(depths, [mat_vs,mat_vphi,mat_rho, mat_K, mat_G], [seis_vs,seis_vphi,seis_rho, seis_K, seis_G])
# Normalize errors
vs_err = vs_err/np.mean(seis_vs)**2.
vphi_err = vphi_err/np.mean(seis_vphi)**2.
rho_err = rho_err/np.mean(seis_rho)**2.
K_err = K_err/np.mean(seis_K)**2.
G_err = G_err/np.mean(seis_G)**2.
return vs_err, vphi_err, rho_err, K_err, G_err
def material_error(amount_perovskite):
# Define composite using the values
rock = burnman.Composite([perovskite, ferropericlase],
[amount_perovskite, 1.0 - amount_perovskite])
# Compute velocities
mat_rho, mat_vp, mat_vs, mat_vphi, mat_K, mat_G = \
rock.evaluate(
['density', 'v_p', 'v_s', 'v_phi', 'K_S', 'G'], seis_p, temperature)
print("Calculations are done for:")
rock.debug_print()
# Calculate errors
[vs_err, vphi_err, rho_err, K_err, G_err] = \
burnman.compare_l2(depths, [mat_vs, mat_vphi, mat_rho, mat_K, mat_G], [
seis_vs, seis_vphi, seis_rho, seis_K, seis_G])
# Normalize errors
vs_err = vs_err / np.mean(seis_vs)**2.
vphi_err = vphi_err / np.mean(seis_vphi)**2.
rho_err = rho_err / np.mean(seis_rho)**2.
K_err = K_err / np.mean(seis_K)**2.
G_err = G_err / np.mean(seis_G)**2.
return vs_err, vphi_err, rho_err, K_err, G_err
for n in names:
fit.append(mymap[n])
lit.append(mymaplit[n])
rock, anchor_t = array_to_rock(fit, names)
temperature = burnman.geotherm.adiabatic(pressure, anchor_t, rock)
rock.set_averaging_scheme(
burnman.averaging_schemes.HashinShtrikmanAverage())
rho, vp, vs, vphi, K, G = \
rock.evaluate(
['rho', 'v_p', 'v_s', 'v_phi', 'K_S', 'G'], pressure, temperature)
err_vs, err_vphi, err_rho = burnman.compare_l2(depths / np.mean(depths), [
vs / np.mean(seis_vs), vphi / np.mean(seis_vphi),
rho / np.mean(seis_rho)
], [
seis_vs / np.mean(seis_vs), seis_vphi / np.mean(seis_vphi),
seis_rho / np.mean(seis_rho)
])
error = np.sum([err_rho, err_vphi, err_vs])
print("errors:", error, err_rho, err_vphi, err_vs)
figsize = (6, 5)
prop = {'size': 12}
plt.rc('text', usetex=True)
plt.rcParams['text.latex.preamble'] = r'\usepackage{relsize}'
plt.rc('font', family='sans-serif')
figure = plt.figure(dpi=100, figsize=figsize)
# plot v_s
fit = []
lit = []
for n in names:
fit.append(mymap[n])
lit.append(mymaplit[n])
rock, anchor_t = array_to_rock(fit, names)
temperature = burnman.geotherm.adiabatic(pressure, anchor_t, rock)
rho, vp, vs, vphi, K, G = \
burnman.velocities_from_rock(rock, pressure, temperature, burnman.averaging_schemes.HashinShtrikmanAverage())
err_vs, err_vphi, err_rho = burnman.compare_l2(depths/np.mean(depths),
[vs/np.mean(seis_vs),
vphi/np.mean(seis_vphi),
rho/np.mean(seis_rho)],
[seis_vs/np.mean(seis_vs),
seis_vphi/np.mean(seis_vphi),
seis_rho/np.mean(seis_rho)])
error = np.sum([err_rho, err_vphi, err_vs])
print "errors:", error, err_rho, err_vphi, err_vs
figsize=(6,5)
prop={'size':12}
plt.rc('text', usetex=True)
plt.rcParams['text.latex.preamble'] = '\usepackage{relsize}'
plt.rc('font', family='sanserif')
figure=plt.figure(dpi=100,figsize=figsize)
#plot v_s
dashstyle2=(7,3)
dashstyle3=(3,2)
fit = []
lit = []
for n in names:
fit.append(mymap[n])
lit.append(mymaplit[n])
rock, anchor_t = array_to_rock(fit, names)
temperature = burnman.geotherm.adiabatic(pressure, anchor_t, rock)
rho, vp, vs, vphi, K, G = \
burnman.velocities_from_rock(rock, pressure, temperature, burnman.averaging_schemes.HashinShtrikmanAverage())
err_vs, err_vphi, err_rho = burnman.compare_l2(depths/np.mean(depths), vs/np.mean(seis_vs), vphi/np.mean(seis_vphi), \
rho/np.mean(seis_rho), seis_vs/np.mean(seis_vs), seis_vphi/np.mean(seis_vphi), seis_rho/np.mean(seis_rho))
error = np.sum([err_rho, err_vphi, err_vs])
print error, err_rho, err_vphi, err_vs
figsize=(6,5)
prop={'size':12}
plt.rc('text', usetex=True)
plt.rcParams['text.latex.preamble'] = '\usepackage{relsize}'
plt.rc('font', family='sanserif')
figure=plt.figure(dpi=100,figsize=figsize)
#plot v_s
plt.plot(pressure/1.e9,seis_vs/1.e3,linestyle="-",color='k',linewidth=2.0,label='PREM')
dashstyle2=(7,3)
dashstyle3=(3,2)
fit = []
lit = []
for n in names:
fit.append(mymap[n])
lit.append(mymaplit[n])
rock, anchor_t = array_to_rock(fit, names)
temperature = burnman.geotherm.adiabatic(pressure, anchor_t, rock)
rock.set_averaging_scheme(burnman.averaging_schemes.HashinShtrikmanAverage())
rho, vs, vphi = rock.evaluate(['rho','v_s','v_phi'], pressure, temperature)
err_vs, err_vphi, err_rho = burnman.compare_l2(depths, [vs, vphi, rho], [seis_vs, seis_vphi, seis_rho])
error = np.sum([err_rho/np.mean(seis_rho), err_vphi/np.mean(seis_vphi), err_vs/np.mean(seis_vs)])
figsize=(6,5)
prop={'size':12}
plt.rc('text', usetex=True)
plt.rcParams['text.latex.preamble'] = r'\usepackage{relsize}'
plt.rc('font', family='sans-serif')
figure=plt.figure(dpi=100,figsize=figsize)
#plot v_s
plt.plot(pressure/1.e9,seis_vs/1.e3,linestyle="-",color='k',linewidth=2.0,label='PREM')
#plot v_phi
plt.plot(pressure/1.e9,seis_vphi/1.e3,linestyle="-",color='k',linewidth=2.0)
dashstyle2=(7,3)
dashstyle3=(3,2)
fit = []
lit = []
for n in names:
fit.append(mymap[n])
lit.append(mymaplit[n])
rock, anchor_t = array_to_rock(fit, names)
temperature = burnman.geotherm.adiabatic(pressure, anchor_t, rock)
rho, vp, vs, vphi, K, G = \
burnman.velocities_from_rock(rock, pressure, temperature, burnman.averaging_schemes.hashin_shtrikman_average())
err_rho, err_vphi, err_vs = burnman.compare_l2(depths/np.mean(depths), vs/np.mean(seis_vs), vphi/np.mean(seis_vphi), \
rho/np.mean(seis_rho), seis_vs/np.mean(seis_vs), seis_vphi/np.mean(seis_vphi), seis_rho/np.mean(seis_rho))
error = np.sum([err_rho, err_vphi, err_vs])
print error, err_rho, err_vphi, err_vs
figsize=(6,5)
prop={'size':12}
plt.rc('text', usetex=True)
plt.rcParams['text.latex.preamble'] = '\usepackage{relsize}'
plt.rc('font', family='sanserif')
figure=plt.figure(dpi=100,figsize=figsize)
#plot v_s
plt.plot(pressure/1.e9,seis_vs/1.e3,linestyle="-",color='k',linewidth=2.0,label='PREM')
fit = []
lit = []
for n in names:
fit.append(mymap[n])
lit.append(mymaplit[n])
rock, anchor_t = array_to_rock(fit, names)
temperature = burnman.geotherm.adiabatic(pressure, anchor_t, rock)
rock.set_averaging_scheme(
burnman.averaging_schemes.HashinShtrikmanAverage())
rho, vs, vphi = rock.evaluate(
['rho', 'v_s', 'v_phi'], pressure, temperature)
err_vs, err_vphi, err_rho = burnman.compare_l2(
depths, [vs, vphi, rho], [seis_vs, seis_vphi, seis_rho])
error = np.sum(
[err_rho / np.mean(seis_rho), err_vphi / np.mean(seis_vphi), err_vs / np.mean(seis_vs)])
figsize = (6, 5)
prop = {'size': 12}
plt.rc('text', usetex=True)
plt.rcParams['text.latex.preamble'] = r'\usepackage{relsize}'
plt.rc('font', family='sans-serif')
figure = plt.figure(dpi=100, figsize=figsize)
# plot v_s
plt.plot(pressure / 1.e9, seis_vs / 1.e3, linestyle="-",
color='k', linewidth=2.0, label='PREM')
# plot v_phi