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02_inversion_WassersteinSinkhorn.py
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02_inversion_WassersteinSinkhorn.py
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import numpy as np
import torch
import matplotlib.pyplot as plt
import matplotlib
matplotlib.use("agg")
from scipy import integrate
import sys
import os
sys.path.append("../../../../")
from ADFWI.propagator import *
from ADFWI.model import *
from ADFWI.view import *
from ADFWI.utils import *
from ADFWI.survey import *
from ADFWI.fwi import *
import warnings
warnings.filterwarnings("ignore")
if __name__ == "__main__":
project_path = "./data/"
if not os.path.exists(os.path.join(project_path,"model")):
os.makedirs(os.path.join(project_path,"model"))
if not os.path.exists(os.path.join(project_path,"waveform")):
os.makedirs(os.path.join(project_path,"waveform"))
if not os.path.exists(os.path.join(project_path,"survey")):
os.makedirs(os.path.join(project_path,"survey"))
if not os.path.exists(os.path.join(project_path,"inversion-Wasserstein_Sinkhorn")):
os.makedirs(os.path.join(project_path,"inversion-Wasserstein_Sinkhorn"))
#------------------------------------------------------
# Basic Parameters
#------------------------------------------------------
device = "cuda:7"
dtype = torch.float32
ox,oz = 0,0
nz,nx = 88,200
dx,dz = 40, 40
nt,dt = 1600, 0.003
nabc = 30
f0 = 5
free_surface = True
# Load the Marmousi model dataset from the specified directory.
marmousi_model = load_marmousi_model(in_dir="../../../datasets/marmousi2_source")
# Create coordinate arrays for x and z based on the grid size.
x = np.linspace(5000, 5000 + dx * nx, nx)
z = np.linspace(0, dz * nz, nz)
true_model = resample_marmousi_model(x, z, marmousi_model)
smooth_model = get_smooth_marmousi_model(true_model, gaussian_kernel=12)
# Initialize primary wave velocity (vp) and density (rho) for the model.
vp_init = smooth_model['vp'].T # Transpose to match dimensions
rho_init = np.power(vp_init, 0.25) * 310 # Calculate density based on vp
# Extract true model properties for comparison.
vp_true = true_model['vp'].T # Transpose for consistency
rho_true = np.power(vp_true, 0.25) * 310 # Calculate true density
model = AcousticModel(ox,oz,nx,nz,dx,dz,
vp_init,rho_init,
vp_bound=[vp_true.min(),vp_true.max()],
vp_grad=True,
free_surface=free_surface,
abc_type="PML",abc_jerjan_alpha=0.007,
nabc=nabc,
device=device,dtype=dtype)
model.save(os.path.join(project_path,"model/init_model.npz"))
print(model.__repr__())
model._plot_vp_rho(figsize=(12,5),wspace=0.15,cbar_pad_fraction=0.02,cbar_height=0.04,cmap='coolwarm',save_path=os.path.join(project_path,"model/init_vp_rho.png"),show=False)
#------------------------------------------------------
# Source And Receiver
#------------------------------------------------------
# source
src_z = np.array([1 for i in range(2, nx-1, 5)]) # Z-coordinates for sources
src_x = np.array([i for i in range(2, nx-1, 5)]) # X-coordinates for sources
src_t,src_v = wavelet(nt,dt,f0,amp0=1)
src_v = integrate.cumtrapz(src_v, axis=-1, initial=0) #Integrate
source = Source(nt=nt,dt=dt,f0=f0)
for i in range(len(src_x)):
source.add_source(src_x=src_x[i],src_z=src_z[i],src_wavelet=src_v,src_type="mt",src_mt=np.array([[1,0,0],[0,1,0],[0,0,1]]))
source.plot_wavelet(save_path=os.path.join(project_path,"survey/wavelets.png"),show=False)
# receiver
rcv_z = np.array([1 for i in range(0, nx, 1)]) # Z-coordinates for receivers
rcv_x = np.array([j for j in range(0, nx, 1)]) # X-coordinates for receivers
receiver = Receiver(nt=nt,dt=dt)
for i in range(len(rcv_x)):
receiver.add_receiver(rcv_x=rcv_x[i],rcv_z=rcv_z[i],rcv_type="pr")
# survey
survey = Survey(source=source,receiver=receiver)
print(survey.__repr__())
survey.plot(model.vp,cmap='coolwarm',save_path=os.path.join(project_path,"survey/observed_system_init.png"),show=False)
#------------------------------------------------------
# Waveform Propagator
#------------------------------------------------------
F = AcousticPropagator(model,survey,device=device)
damp = F.damp
plot_damp(damp,save_path=os.path.join(project_path,"model/boundary_condition_init.png"),show=False)
# load data
d_obs = SeismicData(survey)
d_obs.load(os.path.join(project_path,"waveform/obs_data.npz"))
print(d_obs.__repr__())
# optimizer
iteration = 300
optimizer = torch.optim.Adam(model.parameters(), lr=10)
scheduler = torch.optim.lr_scheduler.StepLR(optimizer,step_size=100,gamma=0.75,last_epoch=-1)
# Setup misfit function
from ADFWI.fwi.misfit import Misfit_wasserstein_sinkhorn
loss_fn = Misfit_wasserstein_sinkhorn(dt=0.01,sparse_sampling=2,p=1,blur=1e-2)
# gradient processor
grad_mask = np.ones_like(vp_init)
grad_mask[:10,:] = 0
gradient_processor = GradProcessor(grad_mask=grad_mask)
# Initialize the acoustic full waveform inversion (FWI) object.
fwi = AcousticFWI(propagator=F,
model=model,
optimizer=optimizer,
scheduler=scheduler,
loss_fn=loss_fn,
obs_data=d_obs,
gradient_processor=gradient_processor,
waveform_normalize=True,
cache_result=True,
save_fig_epoch=50,
save_fig_path=os.path.join(project_path, "inversion-Wasserstein_Sinkhorn"))
fwi.forward(iteration=iteration,batch_size=2,checkpoint_segments=2)
iter_vp = fwi.iter_vp
iter_loss = fwi.iter_loss
np.savez(os.path.join(project_path,"inversion-Wasserstein_Sinkhorn/iter_vp.npz"),data=np.array(iter_vp))
np.savez(os.path.join(project_path,"inversion-Wasserstein_Sinkhorn/iter_loss.npz"),data=np.array(iter_loss))
###########################################
# visualize the inversion results
###########################################
# the animation results
import numpy as np
import matplotlib.pyplot as plt
import matplotlib.animation as animation
from IPython.display import HTML
# plot the misfit
plt.figure(figsize=(8,6))
plt.plot(iter_loss,c='k')
plt.xlabel("Iterations", fontsize=12)
plt.ylabel("L2-norm Misfits", fontsize=12)
plt.tick_params(labelsize=12)
plt.savefig(os.path.join(project_path,"inversion-Wasserstein_Sinkhorn/misfit.png"),bbox_inches='tight',dpi=100)
plt.close()
# plot the initial model and inverted resutls
plt.figure(figsize=(12,8))
plt.subplot(121)
plt.imshow(vp_init,cmap='jet_r')
plt.subplot(122)
plt.imshow(iter_vp[-1],cmap='jet_r')
plt.savefig(os.path.join(project_path,"inversion-Wasserstein_Sinkhorn/inverted_res.png"),bbox_inches='tight',dpi=100)
plt.close()
# Set up the figure for plotting
fig, ax = plt.subplots(figsize=(8, 6))
cax = ax.imshow(iter_vp[0], aspect='equal', cmap='jet_r', vmin=vp_true.min(), vmax=vp_true.max())
ax.set_title('Inversion Process Visualization')
ax.set_xlabel('X Coordinate')
ax.set_ylabel('Z Coordinate')
# Create a horizontal colorbar
cbar = fig.colorbar(cax, ax=ax, orientation='horizontal', fraction=0.046, pad=0.2)
cbar.set_label('Velocity (m/s)')
# Adjust the layout to minimize white space
plt.subplots_adjust(top=0.85, bottom=0.2, left=0.1, right=0.9)
# Initialization function
def init():
cax.set_array(iter_vp[0]) # Use the 2D array directly
return cax,
# Animation function
def animate(i):
cax.set_array(iter_vp[i]) # Update with the i-th iteration directly
return cax,
# Create the animation
ani = animation.FuncAnimation(fig, animate, init_func=init, frames=len(iter_vp), interval=100, blit=True)
# Save the animation as a video file (e.g., MP4 format)
ani.save(os.path.join(project_path, "inversion-Wasserstein_Sinkhorn/inversion_process.gif"), writer='pillow', fps=10)
# Display the animation using HTML
plt.close(fig) # Prevents static display of the last frame