Disaggregation calculation in openquake.hazardlib

LICENSE Copyright (c) 2014, GEM Foundation, G. Weatherill, M. Pagani, D. Monelli. The notebook is free software: you can redistribute it and/or modify it under the terms of the GNU Affero General Public License as published by the Free Software Foundation, either version 3 of the License, or (at your option) any later version. You should have received a copy of the GNU Affero General Public License along with OpenQuake. If not, see DISCLAIMER The notebook provided herein is released as a prototype implementation on behalf of scientists and engineers working within the GEM Foundation (Global Earthquake Model). It is distributed for the purpose of open collaboration and in the hope that it will be useful to the scientific, engineering, disaster risk and software design communities. The software is NOT distributed as part of GEM's OpenQuake suite (http://www.globalquakemodel.org/openquake) and must be considered as a separate entity. The software provided herein is designed and implemented by scientific staff. It is not developed to the design standards, nor subject to same level of critical review by professional software developers, as GEM's OpenQuake software suite. Feedback and contribution to the software is welcome, and can be directed to the hazard scientific staff of the GEM Model Facility (hazard@globalquakemodel.org). The notebook is therefore distributed WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details. The GEM Foundation, and the authors of the software, assume no liability for use of the software.



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%load_ext autoreload
%autoreload 2
import warnings; warnings.filterwarnings("ignore")



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%matplotlib inline

from openquake.hazardlib.source import AreaSource
from openquake.hazardlib.mfd import TruncatedGRMFD
from openquake.hazardlib.scalerel import WC1994
from openquake.hazardlib.geo import Point, NodalPlane, Polygon
from openquake.hazardlib.pmf import PMF
from openquake.hazardlib.tom import PoissonTOM
from openquake.hazardlib.calc.hazard_curve import calc_hazard_curves
from openquake.hazardlib.calc import disaggregation, mag_dist_pmf
from openquake.hazardlib.site import Site, SiteCollection
from openquake.hazardlib.imt import PGA
from openquake.hazardlib.gsim.campbell_bozorgnia_2008 import CampbellBozorgnia2008

import numpy
from matplotlib import pyplot
from mpl_toolkits.mplot3d import Axes3D

Disaggregation for an area source



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# define area source of circular shape of radius 200 km
src = AreaSource(
    source_id='1',
    name='area',
    tectonic_region_type='Active Shallow Crust',
    mfd=TruncatedGRMFD(min_mag=5., max_mag=6.5, bin_width=0.2, a_val=4.45, b_val=1.),
    rupture_mesh_spacing=2.,
    magnitude_scaling_relationship=WC1994(),
    rupture_aspect_ratio=1.,
    temporal_occurrence_model=PoissonTOM(50.),
    upper_seismogenic_depth=2.,
    lower_seismogenic_depth=12.,
    nodal_plane_distribution=PMF([(1, NodalPlane(strike=0., dip=90, rake=0.))]),
    hypocenter_distribution=PMF([(1, 7.)]),
    polygon=Point(0., 0.).to_polygon(200.),
    area_discretization=10.
)

Hazard curve calculation



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# first compute hazard curve
imls = [0.005, 0.007, 0.0098, 0.0137, 0.0192, 0.0269, 0.0376, 0.0527, 0.0738, 0.103, 0.145,
        0.203, 0.284, 0.397, 0.556, 0.778, 1.09, 1.52, 2.13]
site = Site(location=Point(0., 0.), vs30=760., vs30measured=True, z1pt0=40., z2pt5=1.)

curves = calc_hazard_curves(
    groups=[src],
    ss_filter=SiteCollection([site]),
    imtls={'PGA': imls},
    gsim_by_trt={'Active Shallow Crust': CampbellBozorgnia2008()},
    truncation_level=None
)



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fig = pyplot.figure(figsize=(9, 9))
ax = fig.add_subplot(111)
ax.plot(imls, curves['PGA'][0], '-r', linewidth=2)
ax.set_xscale('log')
ax.set_yscale('log')
ax.grid()
txt = ax.set_xlabel('PGA (g)', fontsize=20)
txt = ax.set_ylabel('Probability of exceedance in 50 years', fontsize=20)

Disaggregation for poe = 0.1



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# disaggregate ground motion value corresponding to 0.1 poe
poes = curves['PGA'][0]
iml = numpy.interp([0.1], poes[::-1], imls[::-1])

(mags, dists, lons, lats, eps, trts), diss_matrix = disaggregation(
    sources=[src],
    site=site,
    imt=PGA(),
    iml=iml,
    gsims={'Active Shallow Crust': CampbellBozorgnia2008()},
    truncation_level=3,
    n_epsilons=3,
    mag_bin_width=0.5,
    dist_bin_width=20.,
    coord_bin_width=0.2
)



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# compute magnitude distance disaggregation
mag_dist = mag_dist_pmf(diss_matrix)
mag_dist = mag_dist.T

fig = pyplot.figure(figsize=(9, 9))
ax = fig.add_subplot(111, projection='3d')

y_ticks = (dists[: -1] + dists[1:]) / 2
for i, row in enumerate(mag_dist):
    ax.bar(mags[:-1], row, y_ticks[i], zdir='y', alpha=0.6, width=0.5)

ax.set_xlabel('Magnitude')
ax.set_ylabel('Distance')
ax.set_zlabel('Probability of exceedance')
ax.view_init(azim=50.)

Disaggregation for poe = 0.001



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iml = numpy.interp([0.001], poes[::-1], imls[::-1])

(mags, dists, lons, lats, eps, trts), diss_matrix = disaggregation(
    sources=[src],
    site=site,
    imt=PGA(),
    iml=iml,
    gsims={'Active Shallow Crust': CampbellBozorgnia2008()},
    truncation_level=3,
    n_epsilons=3,
    mag_bin_width=0.5,
    dist_bin_width=20.,
    coord_bin_width=0.2
)



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# compute magnitude distance disaggregation
mag_dist = mag_dist_pmf(diss_matrix)
mag_dist = mag_dist.T

fig = pyplot.figure(figsize=(9, 9))
ax = fig.add_subplot(111, projection='3d')

y_ticks = (dists[: -1] + dists[1:]) / 2
for i, row in enumerate(mag_dist):
    ax.bar(mags[:-1], row, y_ticks[i], zdir='y', alpha=0.6, width=0.5)

ax.set_xlabel('Magnitude')
ax.set_ylabel('Distance')
ax.set_zlabel('Probability of exceedance')
ax.view_init(azim=50.)