@@ -1,154 +1,203 @@
|
|||||||
# -*- coding: utf-8 -*-
|
# -*- coding: utf-8 -*-
|
||||||
# --- Configuration Constants ---
|
import numpy as np
|
||||||
DEFAULT_IMT_MIN = 0.01
|
from scipy.stats import t, norm
|
||||||
DEFAULT_IMT_MAX = 2.0
|
from scipy.optimize import root_scalar
|
||||||
DEFAULT_MAGNITUDE = 5.0
|
from timeit import default_timer as timer
|
||||||
RUPTURE_ARATIO = 1.5
|
import logging
|
||||||
STRIKE = 0
|
logger = logging.getLogger(__name__)
|
||||||
DIP = 90
|
|
||||||
RAKE = 0
|
|
||||||
|
|
||||||
def _get_lasocki_record_count(gsim_model: Any, imt_name: str) -> int:
|
from openquake.hazardlib.geo import Point #This class represents a geographical point in terms of longitude, latitude, and depth (with respect to the Earth surface).
|
||||||
"""
|
from openquake.hazardlib.geo.surface.planar import PlanarSurface
|
||||||
Extracts the number of ground motion records for the Lasocki2013 model.
|
from openquake.hazardlib.source.characteristic import CharacteristicFaultSource
|
||||||
"""
|
from openquake.hazardlib.mfd import ArbitraryMFD
|
||||||
if imt_name == 'PGA':
|
from openquake.hazardlib.tom import PoissonTOM
|
||||||
return gsim_model.COEFFS.non_sa_coeffs[PGA()]['N']
|
from openquake.hazardlib.scalerel import WC1994 #Wells and Coppersmith magnitude – rupture area relationships
|
||||||
else:
|
from openquake.hazardlib.site import Site, SiteCollection
|
||||||
try:
|
from openquake.hazardlib.contexts import ContextMaker
|
||||||
# Extract frequency from SA(freq) string
|
from openquake.hazardlib.valid import gsim
|
||||||
freq = float(imt_name[imt_name.find('(') + 1:imt_name.find(')')])
|
from openquake.hazardlib.imt import PGA
|
||||||
coeffs = gsim_model.COEFFS.get_coeffs('N')
|
import sys
|
||||||
first_index = np.where(coeffs[0] == freq)[0][0]
|
|
||||||
return coeffs[1][first_index][0]
|
|
||||||
except (ValueError, IndexError):
|
|
||||||
logger.error(f"Could not parse frequency from IMT: {imt_name}")
|
|
||||||
return 0
|
|
||||||
|
|
||||||
def _create_openquake_context(rx_lat: float, rx_lon: float, model: str, imt: str) -> tuple:
|
def my_trivial_task(x):
|
||||||
"""
|
"""
|
||||||
Creates and returns the OpenQuake GSIM, Source, and Context objects.
|
A function that does a trivial task
|
||||||
"""
|
"""
|
||||||
|
return x * x
|
||||||
|
|
||||||
|
def compute_IMT_exceedance(rx_lat, rx_lon, r, fr, p, lambdas, D, percentages_D, magnitudes, magnitude_pdf, magnitude_cdf, model, imt='PGA', IMT_min=0.01, IMT_max=2.0, rx_label=None, rtol=0.1, use_cython=False, **kwargs):
|
||||||
|
|
||||||
|
n_events = len(r)
|
||||||
|
|
||||||
try:
|
try:
|
||||||
gsim_model = gsim(model)
|
gmpes = [gsim(model)]
|
||||||
except Exception:
|
except:
|
||||||
msg = f"{model} was not found in the openquake gsim directory."
|
msg = f"{model} was not found in the openquake gsim directory"
|
||||||
logger.error(msg)
|
logger.error(msg)
|
||||||
raise Exception(msg)
|
raise Exception(msg)
|
||||||
|
|
||||||
# Use a dummy hypocenter since it's a placeholder
|
|
||||||
receiver_point = Point(rx_lon, rx_lat, 0.0)
|
|
||||||
|
|
||||||
# Create the planar surface based on the WC1994 magnitude-scaling relationship
|
if model == 'Lasocki2013': #this model requires the number of earthquake records
|
||||||
|
|
||||||
|
if imt=='PGA': #extract number of records for PGA
|
||||||
|
num_ground_motion_records = gmpes[0].COEFFS.non_sa_coeffs[PGA()]['N']
|
||||||
|
else: #extract number of records for SA()
|
||||||
|
freq = float(imt[imt.find('(')+1:imt.find(')')]) # get the desired frequency of SA
|
||||||
|
first_index = np.where(gmpes[0].COEFFS.get_coeffs('N')[0]==freq)[0][0]
|
||||||
|
num_ground_motion_records = gmpes[0].COEFFS.get_coeffs('N')[1][first_index][0]
|
||||||
|
else:
|
||||||
|
num_ground_motion_records = 0
|
||||||
|
|
||||||
|
#placeholder values that do not have any effect
|
||||||
|
Mag = 5.0 #placeholder mag, must be valid for that context; will be overwritten in loop
|
||||||
|
rupture_aratio = 1.5
|
||||||
|
Strike = 0
|
||||||
|
Dip = 90
|
||||||
|
Rake = 0
|
||||||
|
|
||||||
|
Hypocenter = Point(rx_lon, rx_lat, 0.0) #does not matter in our case; just set eq location to be same as receiver
|
||||||
|
#according to the magnitude and MSR calculate planar surface
|
||||||
planar_surface = PlanarSurface.from_hypocenter(
|
planar_surface = PlanarSurface.from_hypocenter(
|
||||||
hypoc=receiver_point,
|
hypoc=Hypocenter,
|
||||||
msr=WC1994(),
|
msr=WC1994(),
|
||||||
mag=DEFAULT_MAGNITUDE,
|
mag=Mag,
|
||||||
aratio=RUPTURE_ARATIO,
|
aratio=rupture_aratio,
|
||||||
strike=STRIKE,
|
strike=Strike,
|
||||||
dip=DIP,
|
dip=Dip,
|
||||||
rake=RAKE,
|
rake=Rake,
|
||||||
)
|
)
|
||||||
|
|
||||||
site_collection = SiteCollection([Site(location=receiver_point)])
|
# site for which we compute (receiver location)
|
||||||
|
site_collection = SiteCollection([Site(location=Point(rx_lon, rx_lat, 0))])
|
||||||
|
|
||||||
# Required for context maker
|
imtls = {s: [0] for s in [imt]} #required for context maker, M = 2 IMTs
|
||||||
imtls = {SA(float(imt[imt.find('(')+1:imt.find(')')])) if 'SA' in imt else PGA(): [0]}
|
|
||||||
|
|
||||||
context_maker = ContextMaker('Induced', [gsim_model], {'imtls': imtls, 'mags': [DEFAULT_MAGNITUDE]})
|
|
||||||
|
|
||||||
# Placeholder source, since it's overwritten by the cython core function
|
context_maker = ContextMaker('Induced', gmpes, {'imtls': imtls, 'mags': [Mag]}) #necessary contexts builder
|
||||||
source = CharacteristicFaultSource(
|
|
||||||
source_id=1,
|
|
||||||
name='rup',
|
|
||||||
tectonic_region_type='Induced',
|
|
||||||
mfd=ArbitraryMFD([DEFAULT_MAGNITUDE], [0.01]),
|
|
||||||
temporal_occurrence_model=PoissonTOM(50.),
|
|
||||||
surface=planar_surface,
|
|
||||||
rake=RAKE
|
|
||||||
)
|
|
||||||
|
|
||||||
context = context_maker.from_srcs([source], site_collection)[0]
|
src = CharacteristicFaultSource(source_id = 1,
|
||||||
|
name = 'rup',
|
||||||
return gsim_model, context_maker, context
|
tectonic_region_type = 'Induced',
|
||||||
|
mfd = ArbitraryMFD([Mag], [0.01]), #this does not have any effect
|
||||||
|
temporal_occurrence_model = PoissonTOM(50.), #this is also not really used
|
||||||
|
surface = planar_surface,
|
||||||
|
rake = Rake)
|
||||||
|
|
||||||
|
ctx = context_maker.from_srcs([src], site_collection)[0] #returns one context from the source for one rupture
|
||||||
|
|
||||||
|
if use_cython:
|
||||||
|
|
||||||
def compute_IMT_exceedance(
|
|
||||||
rx_lat: float,
|
|
||||||
rx_lon: float,
|
|
||||||
r: List[float],
|
|
||||||
fr: List[float],
|
|
||||||
p: float,
|
|
||||||
lambdas: List[float],
|
|
||||||
D: List[float],
|
|
||||||
percentages_D: List[float],
|
|
||||||
magnitudes: List[float],
|
|
||||||
magnitude_pdf: List[float],
|
|
||||||
magnitude_cdf: List[float],
|
|
||||||
model: str,
|
|
||||||
imt: str = 'PGA',
|
|
||||||
IMT_min: float = DEFAULT_IMT_MIN,
|
|
||||||
IMT_max: float = DEFAULT_IMT_MAX,
|
|
||||||
rx_label: Optional[str] = None,
|
|
||||||
rtol: float = 0.1,
|
|
||||||
use_cython: bool = True,
|
|
||||||
**kwargs
|
|
||||||
) -> float:
|
|
||||||
"""
|
|
||||||
Computes the IMT value for a given exceedance probability using a root-finding algorithm.
|
|
||||||
"""
|
|
||||||
if not use_cython:
|
|
||||||
raise NotImplementedError("The non-cython version is not implemented in this refactor.")
|
|
||||||
|
|
||||||
try:
|
|
||||||
from cython_exceedance import exceedance_core
|
from cython_exceedance import exceedance_core
|
||||||
except ImportError:
|
|
||||||
logger.error("Could not import cython_exceedance. Make sure the module is compiled and available.")
|
|
||||||
return np.nan
|
|
||||||
|
|
||||||
gsim_model, context_maker, context = _create_openquake_context(rx_lat, rx_lon, model, imt)
|
|
||||||
|
|
||||||
num_ground_motion_records = _get_lasocki_record_count(gsim_model, imt) if model == 'Lasocki2013' else 0
|
def exceedance_root_function(a):
|
||||||
|
return exceedance_core(a, r, fr, lambdas, D, percentages_D, magnitudes,
|
||||||
|
magnitude_pdf, magnitude_cdf, context_maker, ctx,
|
||||||
|
model, num_ground_motion_records) - p
|
||||||
|
|
||||||
def exceedance_root_function(imt_value: float) -> float:
|
else:
|
||||||
"""The function whose root we are trying to find."""
|
|
||||||
return exceedance_core(
|
|
||||||
imt_value, r, fr, lambdas, D, percentages_D, magnitudes,
|
|
||||||
magnitude_pdf, magnitude_cdf, context_maker, context,
|
|
||||||
model, num_ground_motion_records
|
|
||||||
) - p
|
|
||||||
|
|
||||||
# Check function values at the interval endpoints
|
def exceedance_root_function(a):
|
||||||
|
exceedance_prob_sum = 0
|
||||||
|
log_a = np.log(a) # Precompute log(a)
|
||||||
|
|
||||||
|
for j in range(len(lambdas)): #loop through all lambdas
|
||||||
|
lambda_j = lambdas[j]
|
||||||
|
D_j_val = percentages_D[j] * D # Use a different name to avoid shadowing D
|
||||||
|
lambda_D_j = lambda_j * D_j_val
|
||||||
|
denom_j = (1 - np.exp(-lambda_D_j))
|
||||||
|
if denom_j == 0: # Avoid division by zero if lambda_D_j is very small or zero
|
||||||
|
continue
|
||||||
|
|
||||||
|
for i in range(n_events): #loop through all events
|
||||||
|
ri = r[i] # Epicentral distance
|
||||||
|
fr_i = fr[i] # Location probability f(r)
|
||||||
|
ctx.repi = ri
|
||||||
|
|
||||||
|
# Precompute terms only dependent on lambda_j, D_j, m
|
||||||
|
lambda_D_j_f_m = lambda_D_j * magnitude_pdf
|
||||||
|
exp_term_m = np.exp(-lambda_D_j * (1 - magnitude_cdf))
|
||||||
|
f_conditional_base_m = (lambda_D_j_f_m * exp_term_m) / denom_j
|
||||||
|
|
||||||
|
for k in range(len(magnitudes)): #loop through all values of magnitude pdf and cdf
|
||||||
|
m = magnitudes[k]
|
||||||
|
ctx.mag = m # update context magnitude
|
||||||
|
|
||||||
|
# Calculate f_conditional (simpler now)
|
||||||
|
f_conditional = f_conditional_base_m[k]
|
||||||
|
|
||||||
|
mean, sig, _, _ = context_maker.get_mean_stds(ctx)
|
||||||
|
log_gm_predicted = mean[0][0][0]
|
||||||
|
variance_term = sig[0][0][0]
|
||||||
|
residual = log_a - log_gm_predicted # Use precomputed log_a
|
||||||
|
|
||||||
|
if residual <= 0:
|
||||||
|
exceedance_probability = 1.0
|
||||||
|
else:
|
||||||
|
# Avoid division by zero or very small numbers if variance_term is ~0
|
||||||
|
if variance_term < 1e-15: # Adjust threshold as needed
|
||||||
|
exceedance_probability = 0.0
|
||||||
|
else:
|
||||||
|
t_value = residual / variance_term
|
||||||
|
|
||||||
|
if model == 'Lasocki2013':
|
||||||
|
exceedance_probability = t.sf(t_value, num_ground_motion_records - 3) # student t distribution, degrees of freedom: n-3; sf = 1 - cdf
|
||||||
|
else:
|
||||||
|
exceedance_probability = norm.sf(t_value) # equivalent to 1.0 - norm.cdf(t_value)
|
||||||
|
|
||||||
|
location_exceedance_prob = exceedance_probability * f_conditional * fr_i
|
||||||
|
exceedance_prob_sum += location_exceedance_prob
|
||||||
|
|
||||||
|
return exceedance_prob_sum - p
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
|
# Check function values at different test points
|
||||||
|
IMT_mid = (IMT_max-IMT_min)/2
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
lower_bound_value = exceedance_root_function(IMT_min)
|
lower_bound_value = exceedance_root_function(IMT_min)
|
||||||
|
|
||||||
|
|
||||||
|
mid_point_value = exceedance_root_function(IMT_mid)
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
upper_bound_value = exceedance_root_function(IMT_max)
|
upper_bound_value = exceedance_root_function(IMT_max)
|
||||||
|
|
||||||
logger.info(f"Receiver: {rx_label or 'N/A'}")
|
|
||||||
logger.info(f"Function value at {imt} = {IMT_min:.2f}: {lower_bound_value:.2f}")
|
|
||||||
logger.info(f"Function value at {imt} = {IMT_max:.2f}: {upper_bound_value:.2f}")
|
|
||||||
|
logger.info(f"Receiver: {str(rx_label)}")
|
||||||
|
logger.info(f"Function value at {imt} = {str(IMT_min)} : {lower_bound_value}")
|
||||||
|
logger.info(f"Function value at {imt} = {str(IMT_mid)} : {mid_point_value}")
|
||||||
|
logger.info(f"Function value at {imt} = {str(IMT_max)} : {upper_bound_value}")
|
||||||
|
|
||||||
|
|
||||||
|
|
||||||
if np.sign(lower_bound_value) == np.sign(upper_bound_value):
|
if np.sign(lower_bound_value) == np.sign(upper_bound_value):
|
||||||
msg = ("Function values at the interval endpoints must differ in sign "
|
msg = "Function values at the interval endpoints must differ in sign for fsolve to work. Expand the interval or use a different model."
|
||||||
"for root finding to work. Try expanding the interval or check the model.")
|
|
||||||
logger.error(msg)
|
logger.error(msg)
|
||||||
return np.nan
|
gm_est = np.nan
|
||||||
|
return gm_est
|
||||||
|
# raise ValueError(msg)
|
||||||
|
|
||||||
# Find the root of the function using Brent's method
|
|
||||||
start_time = timer()
|
|
||||||
gm_est = np.nan
|
# Find root of function
|
||||||
try:
|
start = timer()
|
||||||
output = root_scalar(
|
|
||||||
exceedance_root_function,
|
try:
|
||||||
bracket=[IMT_min, IMT_max],
|
method='brenth'
|
||||||
rtol=rtol,
|
logger.debug("Now trying Scipy " + method)
|
||||||
method='brenth'
|
#output = root_scalar(exceedance_root_function, bracket=[IMT_min, IMT_max], rtol=rtol, method=method)
|
||||||
)
|
#gm_est = output.root
|
||||||
gm_est = output.root
|
gm_est = np.nan
|
||||||
logger.debug(f"Root finding converged: {output.converged}")
|
|
||||||
except Exception as error:
|
except Exception as error:
|
||||||
logger.error(f"An exception occurred during root finding: {error}")
|
logger.error(f"An exception occurred: {error}")
|
||||||
|
logger.info("Set ground motion value to nan")
|
||||||
end_time = timer()
|
gm_est = np.nan
|
||||||
logger.info(f"Ground motion estimation computation time: {end_time - start_time:.1f} seconds")
|
|
||||||
logger.info(f"Estimated {imt}: {gm_est:.4f}")
|
end = timer()
|
||||||
|
logger.info(f"Ground motion estimation computation time: {round(end - start,1)} seconds")
|
||||||
|
logger.info(f"Estimated {imt}: {gm_est}")
|
||||||
|
|
||||||
return gm_est
|
return gm_est
|
||||||
|
|
||||||
|
Reference in New Issue
Block a user