Beispiel #1
0
    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
Beispiel #2
0
 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
Beispiel #3
0
 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
Beispiel #4
0
    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
Beispiel #5
0
 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
Beispiel #6
0
    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
Beispiel #9
0
    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
Beispiel #10
0
    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
Beispiel #11
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.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')
Beispiel #14
0
    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