Mondaic
This tutorial is presented as Python code running inside a Jupyter Notebook, the recommended way to use Salvus. To run it yourself you can copy/type each individual cell or directly download the full notebook, including all required files.
%matplotlib inline# This notebook will use this variable to determine which
# remote site to run on.
import os
import numpy as np
import salvus.namespace as sn
SALVUS_FLOW_SITE_NAME = os.environ.get("SITE_NAME", "local")p = sn.Project(path="project")
In a typical USCT setup, there is always enough space between the ultrasound transducers and the phantom.
What if we include that information as prior knowledge into our problem formulation?
An easy way of doing this, is to define a region of interest and restrict the reconstruction to this area.
To keep it simple, we just define a sphere with a radius of
6.5 cm as the target region.mesh = p.simulations.get_mesh(simulation_configuration="initial_model")
# define the region of interest
roi = np.zeros_like(mesh.connectivity)
mask = np.linalg.norm(mesh.points[mesh.connectivity], axis=2) < 0.065
roi[mask] = 1.0
mesh.attach_field("region_of_interest", roi)Let's see if this helps with the iterations. To be able to compare the results, we just create a new inverse problem within the same project, initialize the region of interest, and start iterating.
p += sn.InverseProblemConfiguration(
name="my_second_inversion",
prior_model="initial_model",
events=[e.event_name for e in p.events.get_all()],
mapping=sn.Mapping(
scaling="absolute",
inversion_parameters=["VP", "RHO"],
region_of_interest=mesh,
),
preconditioner=sn.ConstantSmoothing({"VP": 0.01, "RHO": 0.01}),
method=sn.TrustRegion(initial_trust_region_linf=10.0),
misfit_configuration="L2",
wavefield_compression=sn.WavefieldCompression(
forward_wavefield_sampling_interval=10
),
job_submission=sn.SiteConfig(
site_name=SALVUS_FLOW_SITE_NAME, ranks_per_job=4
),
)p.inversions.iterate(
inverse_problem_configuration="my_second_inversion",
timeout_in_seconds=360,
ping_interval_in_seconds=10,
)[2023-09-10 18:42:02,000] INFO: Adding new iteration #0. [2023-09-10 18:42:02,031] INFO: Resuming iteration #0. [2023-09-10 18:42:02,038] INFO: 1 new tasks have been issued. [2023-09-10 18:42:02,046] INFO: Processing task `misfit_and_gradient` [2023-09-10 18:42:02,880] INFO: Iteration 0: Number of events: 5 chi = 0.017689825271254428 ||g|| = 0.01626147391909629 pred = --- ared = --- norm_update = --- tr_radius = --- [2023-09-10 18:42:02,883] INFO: 1 new tasks have been issued. [2023-09-10 18:42:02,886] INFO: Processing task `preconditioner` [2023-09-10 18:42:03,274] INFO: Some tasks of iteration #0 are still running. Please check again later. [2023-09-10 18:42:13,326] INFO: Processing task `preconditioner` [2023-09-10 18:42:13,743] INFO: 1 new tasks have been issued. [2023-09-10 18:42:13,745] INFO: Processing task `misfit` [2023-09-10 18:42:13,886] INFO: Submitting job array with 5 jobs ... [2023-09-10 18:42:14,164] INFO: Launched simulations for 5 events. Please check again to see if they are finished. [2023-09-10 18:42:14,167] INFO: Some tasks of iteration #0 are still running. Please check again later. [2023-09-10 18:42:24,214] INFO: Processing task `misfit` [2023-09-10 18:42:25,997] INFO: old misfit control group: 0.017689825271254428 new misfit control group: 0.006645707057577022 predicted reduction control group: -0.005735007567861612 actual reduction control group: -0.011044118213677406 5 out of 5 event(s) improved the misfit. [2023-09-10 18:42:25,999] INFO: Model update accepted. [2023-09-10 18:42:26,000] INFO: 1 new tasks have been issued. [2023-09-10 18:42:26,000] INFO: Processing task `finalize_iteration` [2023-09-10 18:42:26,075] INFO: Succesfully completed iteration #0. [2023-09-10 18:42:26,083] INFO: Adding new iteration #1.
Let's see if the region of interest was considered when the model was updated.
p.viz.nb.inversion(inverse_problem_configuration="my_second_inversion")
Indeed, outside of the pre-defined sphere, the model is still constant and has the same values as the initial model.
Let's do a few more iterations and see what the reconstruction will be.
for i in range(2):
p.inversions.iterate(
inverse_problem_configuration="my_second_inversion",
timeout_in_seconds=360,
ping_interval_in_seconds=10,
)
p.inversions.delete_disposable_files(
inverse_problem_configuration="my_second_inversion",
data_to_remove=["auxiliary", "gradients", "waveforms"],
)
p.viz.nb.inversion(inverse_problem_configuration="my_second_inversion")[2023-09-10 18:42:29,031] INFO: Resuming iteration #1. [2023-09-10 18:42:29,032] INFO: 1 new tasks have been issued. [2023-09-10 18:42:29,033] INFO: Processing task `gradient` [2023-09-10 18:42:29,722] INFO: Submitting job array with 5 jobs ...
[2023-09-10 18:42:29,908] INFO: Launched adjoint simulations for 5 events. Please check again to see if they are finished. [2023-09-10 18:42:29,911] INFO: Some tasks of iteration #1 are still running. Please check again later. [2023-09-10 18:42:39,926] INFO: Processing task `gradient` [2023-09-10 18:42:40,357] INFO: 5 events have already been submitted. They will not be submitted again. [2023-09-10 18:42:41,449] INFO: Iteration 1: Number of events: 5 chi = 0.006645707057577022 ||g|| = 0.008122034993532758 pred = -0.005735007567861612 ared = -0.011044118213677406 norm_update = 0.7265202727548425 tr_radius = 0.7265203173393829 [2023-09-10 18:42:41,475] INFO: 1 new tasks have been issued. [2023-09-10 18:42:41,480] INFO: Processing task `preconditioner` [2023-09-10 18:42:41,740] INFO: Some tasks of iteration #1 are still running. Please check again later. [2023-09-10 18:42:51,798] INFO: Processing task `preconditioner` [2023-09-10 18:42:52,096] INFO: 1 new tasks have been issued. [2023-09-10 18:42:52,097] INFO: Processing task `misfit` [2023-09-10 18:42:52,260] INFO: Submitting job array with 5 jobs ... [2023-09-10 18:42:52,565] INFO: Launched simulations for 5 events. Please check again to see if they are finished. [2023-09-10 18:42:52,573] INFO: Some tasks of iteration #1 are still running. Please check again later. [2023-09-10 18:43:02,666] INFO: Processing task `misfit` [2023-09-10 18:43:03,988] INFO: old misfit control group: 0.006645707057577022 new misfit control group: 0.002896766734466043 predicted reduction control group: -0.0027947391349793975 actual reduction control group: -0.003748940323110979 5 out of 5 event(s) improved the misfit. [2023-09-10 18:43:03,991] INFO: Model update accepted. [2023-09-10 18:43:03,994] INFO: 1 new tasks have been issued. [2023-09-10 18:43:03,998] INFO: Processing task `finalize_iteration` [2023-09-10 18:43:04,157] INFO: Succesfully completed iteration #1. [2023-09-10 18:43:04,163] INFO: Adding new iteration #2. [2023-09-10 18:43:04,184] INFO: ... searching for obsolete files in project/INVERSIONS/my_second_inversion/00000 [2023-09-10 18:43:04,195] INFO: ... searching for obsolete files in project/INVERSIONS/my_second_inversion/00001 [2023-09-10 18:43:04,564] INFO: Freed up 6.0 MB of space. [2023-09-10 18:43:04,572] INFO: Resuming iteration #2. [2023-09-10 18:43:04,574] INFO: 1 new tasks have been issued. [2023-09-10 18:43:04,575] INFO: Processing task `gradient` [2023-09-10 18:43:05,241] INFO: Submitting job array with 5 jobs ...
[2023-09-10 18:43:05,455] INFO: Launched adjoint simulations for 5 events. Please check again to see if they are finished. [2023-09-10 18:43:05,463] INFO: Some tasks of iteration #2 are still running. Please check again later. [2023-09-10 18:43:15,482] INFO: Processing task `gradient` [2023-09-10 18:43:15,874] INFO: 5 events have already been submitted. They will not be submitted again. [2023-09-10 18:43:16,933] INFO: Iteration 2: Number of events: 5 chi = 0.0028967667344660434 ||g|| = 0.003362121843820212 pred = -0.0027947391349793975 ared = -0.003748940323110979 norm_update = 0.7176639107602372 tr_radius = 1.4530406346787659 [2023-09-10 18:43:16,962] INFO: 1 new tasks have been issued. [2023-09-10 18:43:16,963] INFO: Processing task `preconditioner` [2023-09-10 18:43:17,269] INFO: Some tasks of iteration #2 are still running. Please check again later. [2023-09-10 18:43:27,370] INFO: Processing task `preconditioner` [2023-09-10 18:43:27,660] INFO: 1 new tasks have been issued. [2023-09-10 18:43:27,662] INFO: Processing task `misfit` [2023-09-10 18:43:28,066] INFO: Submitting job array with 5 jobs ... [2023-09-10 18:43:28,321] INFO: Launched simulations for 5 events. Please check again to see if they are finished. [2023-09-10 18:43:28,324] INFO: Some tasks of iteration #2 are still running. Please check again later. [2023-09-10 18:43:38,434] INFO: Processing task `misfit` [2023-09-10 18:43:40,237] INFO: old misfit control group: 0.002896766734466043 new misfit control group: 0.002407847089641693 predicted reduction control group: -0.00022036388532600842 actual reduction control group: -0.0004889196448243502 5 out of 5 event(s) improved the misfit. [2023-09-10 18:43:40,238] INFO: Model update accepted. [2023-09-10 18:43:40,238] INFO: 1 new tasks have been issued. [2023-09-10 18:43:40,239] INFO: Processing task `finalize_iteration` [2023-09-10 18:43:40,444] INFO: Succesfully completed iteration #2. [2023-09-10 18:43:40,452] INFO: Adding new iteration #3. [2023-09-10 18:43:40,475] INFO: ... searching for obsolete files in project/INVERSIONS/my_second_inversion/00000 [2023-09-10 18:43:40,482] INFO: ... searching for obsolete files in project/INVERSIONS/my_second_inversion/00001 [2023-09-10 18:43:40,669] INFO: ... searching for obsolete files in project/INVERSIONS/my_second_inversion/00002 [2023-09-10 18:43:40,996] INFO: Freed up 6.0 MB of space.