import os
import numpy as np
import xarray as xr
import salvus.namespace as sn
from salvus.mesh.tools.transforms import interpolate_mesh_to_mesh
# Run simulations on this site.
SALVUS_FLOW_SITE_NAME = os.environ.get("SITE_NAME", "local")
# Gaussian
x, y = np.linspace(0.0, 1.0, 100), np.linspace(0.0, 1.0, 100)
xx, yy = np.meshgrid(x, y, indexing="xy")
g = np.exp(-(((xx - 0.5) ** 2 + (yy - 0.5) ** 2) / (2 * 0.2**2)))
# Pars
vp = 2 * g + 1
rho = vp / 2
# Xarray dataset
ds = xr.Dataset(
coords={"x": x, "y": y},
data_vars={"vp": (["x", "y"], vp), "rho": (["x", "y"], rho)},
)
# Salvus wrapper.
m = sn.model.volume.cartesian.GenericModel(name="blob", data=ds)
# Plot
m.ds.vp.plot()
<matplotlib.collections.QuadMesh at 0x7bdb0ae7f290>
p = sn.Project.from_volume_model("proj_2d", m, True)
s = sn.simple_config.source.cartesian.ScalarPoint2D(x=0.25, y=0.25, f=1.0)
r = sn.simple_config.receiver.cartesian.Point2D(
x=0.75, y=0.75, fields=["phi"], station_code="XX", network_code="XX"
)
p.add_to_project(sn.EventCollection.from_sources(sources=s, receivers=r))
f_max = 10.0
# Common event configuration.
ec = sn.EventConfiguration(
wavelet=sn.simple_config.stf.Ricker(center_frequency=f_max / 2),
waveform_simulation_configuration=sn.WaveformSimulationConfiguration(
end_time_in_seconds=1.0
),
)
# Heterogeneous - meshed at f_max.
s0 = sn.SimulationConfiguration(
name="blob_fmax",
max_frequency_in_hertz=f_max,
event_configuration=ec,
model_configuration=sn.ModelConfiguration(
background_model=None, volume_models="blob"
),
elements_per_wavelength=2.0,
)
# Homogeneous - meshed at 1.5 * f_max.
s1 = sn.SimulationConfiguration(
name="homo_fmax_1.5",
max_frequency_in_hertz=1.5 * f_max,
event_configuration=ec,
model_configuration=sn.ModelConfiguration(
background_model=sn.model.background.homogeneous.IsotropicAcoustic(
rho=rho.min(), vp=vp.min()
),
),
elements_per_wavelength=2.0,
)
for s in [s0, s1]:
p.add_to_project(s, overwrite=True)
# Interpolate.
m2m = interpolate_mesh_to_mesh(
p.simulations.get_mesh("blob_fmax"),
p.simulations.get_mesh("homo_fmax_1.5"),
use_layers=False,
use_1d_vertical_coordinate=False,
)
# Visualize.
m2m
[2025-10-03 21:18:06,510] INFO: Creating mesh. Hang on. [2025-10-03 21:18:06,574] INFO: Creating mesh. Hang on.
<salvus.mesh.data_structures.unstructured_mesh.unstructured_mesh.UnstructuredMesh object at 0x7bdb001eee50>
if "blob_fmax_1.5" not in p.simulations.list():
p.add_to_project(
sn.UnstructuredMeshSimulationConfiguration(
name="blob_fmax_1.5", unstructured_mesh=m2m, event_configuration=ec
)
)
for name in ["blob_fmax", "blob_fmax_1.5", "homo_fmax_1.5"]:
p.simulations.launch(
simulation_configuration=name,
events=p.events.list(),
site_name=SALVUS_FLOW_SITE_NAME,
ranks_per_job=1,
)
p.simulations.query(block=True)
[2025-10-03 21:18:07,349] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2510032118457069_cb3217fcc7@local
[2025-10-03 21:18:08,122] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2510032118127753_46d584ada9@local
[2025-10-03 21:18:09,227] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2510032118232626_554e7d5a82@local
blob_fmax
runs are essentially identical, while the homogeneous run is very different. The small differences in the two blob runs are expected due to the different mesh resolutions and the broadband nature of the source wavelet.p.viz.waveforms(
event="event_0000",
receiver_name="XX.XX",
data=["blob_fmax", "blob_fmax_1.5", "homo_fmax_1.5"],
receiver_field="phi",
)
[]
# Spherical coordinates
lat = np.linspace(-5.0, 5.0, 101)
lon = np.linspace(-5.0, 5.0, 101)
dep = np.linspace(0.0, 660e3, 101)
# Gaussian
xx, yy, zz = np.meshgrid(lat, lon, dep, indexing="xy")
g = np.zeros_like(xx)
for lats in lat[25:-25:25]:
for lons in lon[::25]:
g += np.exp(-(((xx - lats) ** 2 + (yy - lons) ** 2) / (2 * 0.5**2)))
# Xarray dataset
ds = xr.Dataset(
coords={"latitude": lat, "longitude": lon, "depth": dep},
data_vars={
"vp": (["latitude", "longitude", "depth"], g * 20, {"units": "%"}),
},
attrs={
"geospatial_lon_units": "degrees",
"geospatial_lat_units": "degrees_north",
"geospatial_vertical_units": "m",
},
)
ds_mantle = ds.copy()
ds_mantle["vp"] *= -1
# Salvus wrapper.
mc = sn.model.volume.seismology.CrustalModel(name="crust", data=ds)
mm = sn.model.volume.seismology.MantleModel(name="mantle", data=ds)
# Plot depth slice.
mm.ds.vp.isel(depth=0).plot()
<matplotlib.collections.QuadMesh at 0x7bdaff342ad0>
d = sn.domain.dim3.SphericalChunkDomain(
lat_center=0.0,
lon_center=0.0,
lat_extent=5.0,
lon_extent=5.0,
radius_in_meter=6371e3,
)
# Add mantle and crustal model.
p = sn.Project.from_domain("proj_3d", d, True)
for m in [mc, mm]:
p.add_to_project(m, overwrite=True)
s = sn.simple_config.source.seismology.SideSetVectorPoint3D(
fr=1e10,
ft=0.0,
fp=0.0,
latitude=-2.5,
longitude=-2.5,
depth_in_m=0.0,
side_set_name="r1",
)
r = sn.simple_config.receiver.seismology.SideSetPoint3D(
latitude=2.5,
longitude=2.5,
fields=["velocity"],
station_code="XX",
network_code="XX",
side_set_name="r1",
)
p.add_to_project(sn.EventCollection.from_sources(sources=s, receivers=r))
p_min = 50.0
# Common event configuration.
ec = sn.EventConfiguration(
wavelet=sn.simple_config.stf.Ricker(center_frequency=1 / (2 * p_min)),
waveform_simulation_configuration=sn.WaveformSimulationConfiguration(
end_time_in_seconds=600.0
),
)
# Heterogeneous - meshed at f_max.
s0 = sn.SimulationConfiguration(
name="blobs",
tensor_order=2,
max_depth_in_meters=660e3,
min_period_in_seconds=p_min,
event_configuration=ec,
model_configuration=sn.ModelConfiguration(
background_model=sn.model.background.one_dimensional.BuiltIn(
name="prem_iso_one_crust"
),
volume_models=["mantle", "crust"],
),
elements_per_wavelength=2.0,
)
# 1D only - meshed at a slightly lower resolution.
s1 = sn.SimulationConfiguration(
name="1d",
tensor_order=2,
max_depth_in_meters=660e3,
min_period_in_seconds=p_min,
event_configuration=ec,
model_configuration=sn.ModelConfiguration(
background_model=sn.model.background.one_dimensional.BuiltIn(
name="prem_iso_one_crust"
),
),
elements_per_wavelength=1.5,
)
for s in [s0, s1]:
p.add_to_project(s, overwrite=True)
p.viz.nb.simulation_setup("blobs")
[2025-10-03 21:18:10,900] INFO: Creating mesh. Hang on.
Interpolating model: mantle.
Interpolating model: crust.
<salvus.mesh.data_structures.unstructured_mesh.unstructured_mesh.UnstructuredMesh object at 0x7bdb25933950>
use_layers
and use_1d_vertical_coordinate
to True
. This ensures that the interpolation only happens between layers are consistent with each other (i.e. discontinuities are preserved) and that any topography and bathymetry will be flattened before the interpolation occurs.# Interpolate.
m2m = interpolate_mesh_to_mesh(
p.simulations.get_mesh("blobs"),
p.simulations.get_mesh("1d"),
use_layers=True,
use_1d_vertical_coordinate=True,
)
# Assert mesh is different.
assert m2m.nelem != p.simulations.get_mesh("blobs").nelem
# Visualize.
m2m
[2025-10-03 21:18:12,523] INFO: Creating mesh. Hang on.
<salvus.mesh.data_structures.unstructured_mesh.unstructured_mesh.UnstructuredMesh object at 0x7bdb08923fd0>
p.add_to_project(
sn.UnstructuredMeshSimulationConfiguration(
name="blobs_reinterp", unstructured_mesh=m2m, event_configuration=ec
)
)
for name in ["blobs", "blobs_reinterp", "1d"]:
p.simulations.launch(
simulation_configuration=name,
events=p.events.list(),
site_name=SALVUS_FLOW_SITE_NAME,
ranks_per_job=1,
)
p.simulations.query(block=True)
[2025-10-03 21:18:13,798] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2510032118803173_b2c1e8cec4@local
[2025-10-03 21:18:30,960] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2510032118963848_553d27faa2@local
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p.viz.waveforms(
event="event_0000",
receiver_name="XX.XX",
data=["blobs", "blobs_reinterp", "1d"],
receiver_field="velocity",
)
[]