-
Notifications
You must be signed in to change notification settings - Fork 6
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Merge pull request #1 from DIG-Kaust/mpi
feature: added mpi support for modelling and loss_grad
- Loading branch information
Showing
4 changed files
with
561 additions
and
6 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,249 @@ | ||
r""" | ||
Acoustic FWI(VP) with entire data | ||
This example is used to showcase how to perform acoustic FWI in a distributed manner using | ||
MPI4py. | ||
Run as: export DEVITO_LANGUAGE=openmp; export DEVITO_MPI=0; export OMP_NUM_THREADS=6; export MKL_NUM_THREADS=6; export NUMBA_NUM_THREADS=6; mpiexec -n 8 python AcousticVel_L2_1stage.py | ||
""" | ||
|
||
import numpy as np | ||
|
||
from matplotlib import pyplot as plt | ||
from mpi4py import MPI | ||
from pylops.basicoperators import Identity | ||
from pylops_mpi.DistributedArray import local_split, Partition | ||
|
||
from scipy.ndimage import gaussian_filter | ||
from scipy.optimize import minimize | ||
from devito import configuration | ||
from examples.seismic import AcquisitionGeometry, Model, Receiver | ||
from examples.seismic import plot_velocity, plot_perturbation | ||
from examples.seismic.acoustic import AcousticWaveSolver | ||
from examples.seismic import plot_shotrecord | ||
|
||
from devitofwi.devito.utils import clear_devito_cache | ||
from devitofwi.waveengine.acoustic import AcousticWave2D | ||
from devitofwi.preproc.masking import TimeSpaceMasking | ||
from devitofwi.loss.l2 import L2 | ||
from devitofwi.postproc.acoustic import create_mask, PostProcessVP | ||
|
||
comm = MPI.COMM_WORLD | ||
rank = MPI.COMM_WORLD.Get_rank() | ||
size = MPI.COMM_WORLD.Get_size() | ||
|
||
configuration['log-level'] = 'ERROR' | ||
clear_devito_cache() | ||
|
||
# Callback to track model error | ||
def fwi_callback(xk, vp, vp_error): | ||
vp_error.append(np.linalg.norm((xk - vp.reshape(-1))/vp.reshape(-1))) | ||
|
||
|
||
if rank == 0: | ||
print(f'Distributed FWI ({size} ranks)') | ||
|
||
|
||
################################################################## | ||
# Parameters | ||
################################################################## | ||
|
||
# Model and aquisition parameters | ||
par = {'nx':601, 'dx':15, 'ox':0, | ||
'nz':221, 'dz':15, 'oz':0, | ||
'ns':20, 'ds':300, 'os':1000, 'sz':0, | ||
'nr':300, 'dr':30, 'or':0, 'rz':0, | ||
'nt':3000, 'dt':0.002, 'ot':0, | ||
'freq':15, | ||
} | ||
|
||
# Modelling parameters | ||
shape = (par['nx'], par['nz']) | ||
spacing = (par['dx'], par['dz']) | ||
origin = (par['ox'], par['oz']) | ||
space_order = 4 | ||
nbl = 20 | ||
|
||
# Velocity model | ||
path = '../../data/' | ||
velocity_file = path + 'Marm.bin' | ||
|
||
# Time-space mask parameters | ||
vwater = 1500 | ||
toff = 0.45 | ||
|
||
################################################################## | ||
# Acquisition set-up | ||
################################################################## | ||
|
||
# Sampling frequency | ||
fs = 1 / par['dt'] | ||
|
||
# Axes | ||
x = np.arange(par['nx']) * par['dx'] + par['ox'] | ||
z = np.arange(par['nz']) * par['dz'] + par['oz'] | ||
t = np.arange(par['nt']) * par['dt'] + par['ot'] | ||
tmax = t[-1] * 1e3 # in ms | ||
|
||
# Sources | ||
x_s = np.zeros((par['ns'], 2)) | ||
x_s[:, 0] = np.arange(par['ns']) * par['ds'] + par['os'] | ||
x_s[:, 1] = par['sz'] | ||
|
||
# Receivers | ||
x_r = np.zeros((par['nr'], 2)) | ||
x_r[:, 0] = np.arange(par['nr']) * par['dr'] + par['or'] | ||
x_r[:, 1] = par['rz'] | ||
|
||
################################################################## | ||
# Velocity model | ||
################################################################## | ||
|
||
# Load the true model | ||
vp_true = np.fromfile(velocity_file, np.float32).reshape(par['nz'], par['nx']).T | ||
msk = create_mask(vp_true, 1.52) # get the mask for the water layer | ||
|
||
if rank == 0: | ||
m_vmin, m_vmax = np.percentile(vp_true, [2,98]) | ||
|
||
plt.figure(figsize=(14, 5)) | ||
plt.imshow(vp_true.T, vmin=m_vmin, vmax=m_vmax, cmap='jet', | ||
extent=(x[0], x[-1], z[-1], z[0])) | ||
plt.colorbar() | ||
plt.scatter(x_r[:,0], x_r[:,1], c='w') | ||
plt.scatter(x_s[:,0], x_s[:,1], c='r') | ||
plt.title('True VP') | ||
plt.axis('tight') | ||
plt.savefig('figs/TrueVel.png') | ||
|
||
# Initial model for FWI by smoothing the true model | ||
vp_init = gaussian_filter(vp_true, sigma=[15,10]) | ||
vp_init = vp_init * msk # to preserve the water layer | ||
vp_init[vp_init == 0] = 1.5 | ||
|
||
if rank == 0: | ||
plt.figure(figsize=(14, 5)) | ||
plt.imshow(vp_init.T, vmin=m_vmin, vmax=m_vmax, cmap='jet', | ||
extent=(x[0], x[-1], z[-1], z[0])) | ||
plt.colorbar() | ||
plt.scatter(x_r[:,0], x_r[:,1], c='w') | ||
plt.scatter(x_s[:,0], x_s[:,1], c='r') | ||
plt.title('Initial VP') | ||
plt.axis('tight') | ||
plt.savefig('figs/InitialVel.png') | ||
|
||
################################################################## | ||
# Data | ||
################################################################## | ||
|
||
# Choose how to split sources to ranks | ||
ns_rank = local_split((par['ns'], ), MPI.COMM_WORLD, Partition.SCATTER, 0) | ||
ns_ranks = np.concatenate(MPI.COMM_WORLD.allgather(ns_rank)) | ||
isin_rank = np.insert(np.cumsum(ns_ranks)[:-1] , 0, 0)[rank] | ||
isend_rank = np.cumsum(ns_ranks)[rank] | ||
print(f'Rank: {rank}, ns: {ns_rank}, isin: {isin_rank}, isend: {isend_rank}') | ||
|
||
# Define modelling engine | ||
amod = AcousticWave2D(shape, origin, spacing, | ||
x_s[isin_rank:isend_rank, 0], x_s[isin_rank:isend_rank, 1], | ||
x_r[:, 0], x_r[:, 1], | ||
0., tmax, | ||
vp=vp_true * 1e3, | ||
src_type="Ricker", f0=par['freq'], | ||
space_order=space_order, nbl=nbl, | ||
base_comm=comm) | ||
|
||
# Model data | ||
if rank == 0: | ||
print('Model data (and gather)...') | ||
|
||
if rank == 0: | ||
print('Model data...') | ||
dobs = amod.mod_allshots() | ||
|
||
################################################################## | ||
# Gradient | ||
################################################################## | ||
|
||
# Define loss | ||
l2loss = L2(Identity(int(np.prod(dobs.shape[1:]))), dobs.reshape(ns_rank[0], -1)) | ||
|
||
ainv = AcousticWave2D(shape, origin, spacing, | ||
x_s[isin_rank:isend_rank, 0], x_s[isin_rank:isend_rank, 1], | ||
x_r[:, 0], x_r[:, 1], | ||
0., tmax, | ||
vprange=(vp_true.min() * 1e3, vp_true.max() * 1e3), | ||
vpinit=vp_init * 1e3, | ||
src_type="Ricker", f0=par['freq'], | ||
space_order=space_order, nbl=nbl, | ||
loss=l2loss, | ||
base_comm=comm) | ||
|
||
# Compute first gradient and find scaling | ||
postproc = PostProcessVP(scaling=1, mask=msk) | ||
|
||
if rank == 0: | ||
print('Compute gradient...') | ||
|
||
loss, direction = ainv._loss_grad(ainv.initmodel.vp, postprocess=postproc.apply) | ||
|
||
scaling = direction.max() | ||
|
||
if rank == 0: | ||
plt.figure(figsize=(14, 5)) | ||
plt.imshow(direction.T / scaling, cmap='seismic', vmin=-1e-1, vmax=1e-1, | ||
extent=(x[0], x[-1], z[-1], z[0])) | ||
plt.colorbar() | ||
plt.scatter(x_r[:,0], x_r[:,1], c='w') | ||
plt.scatter(x_s[:,0], x_s[:,1], c='r') | ||
plt.title('L2 Gradient') | ||
plt.axis('tight') | ||
plt.savefig('figs/Gradient.png') | ||
|
||
|
||
################################################################## | ||
# FWI | ||
################################################################## | ||
|
||
# L-BFGS parameters | ||
ftol = 1e-10 | ||
maxiter = 30 | ||
maxfun = 5000 | ||
vp_error = [] | ||
|
||
# Run FWI | ||
convertvp = None | ||
postproc = PostProcessVP(scaling=scaling, mask=msk) | ||
|
||
if rank == 0: | ||
print('Run FWI...') | ||
|
||
nl = minimize(ainv.loss_grad, vp_init.ravel(), method='L-BFGS-B', jac=True, | ||
args=(convertvp, postproc.apply), | ||
callback=lambda x: fwi_callback(x, vp=vp_true, vp_error=vp_error), | ||
options={'ftol':ftol, 'maxiter':maxiter, 'maxfun':maxfun, | ||
'disp':True if rank ==0 else False}) | ||
|
||
if rank == 0: | ||
print(nl) | ||
|
||
plt.figure(figsize=(14, 5)) | ||
plt.plot(ainv.losshistory, 'k') | ||
plt.title('Loss history') | ||
plt.savefig('figs/Loss.png') | ||
|
||
plt.figure(figsize=(14, 5)) | ||
plt.plot(vp_error, 'k') | ||
plt.title('Model error history') | ||
plt.savefig('figs/ModelError.png') | ||
|
||
vp_inv = nl.x.reshape(shape) | ||
|
||
plt.figure(figsize=(14, 5)) | ||
plt.imshow(vp_inv.T, vmin=m_vmin, vmax=m_vmax, cmap='jet', extent=(x[0], x[-1], z[-1], z[0])) | ||
plt.colorbar() | ||
plt.scatter(x_r[:,0], x_r[:,1], c='w') | ||
plt.scatter(x_s[:,0], x_s[:,1], c='r') | ||
plt.title('Inverted VP') | ||
plt.axis('tight') | ||
plt.savefig('figs/InvertedVP.png') |
Oops, something went wrong.