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 0x790b95cd6ad0>
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[2026-01-29 01:06:53,127] INFO: Creating mesh. Hang on. [2026-01-29 01:06:53,170] INFO: Creating mesh. Hang on.
<salvus.mesh.data_structures.unstructured_mesh.unstructured_mesh.UnstructuredMesh object at 0x790b92803550>
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)[2026-01-29 01:06:53,611] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2601290106702340_99977ca546@local
[2026-01-29 01:06:55,462] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2601290106464217_c386ec48ce@local
[2026-01-29 01:06:57,850] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2601290106853192_417d5cd6e8@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 0x790b88baaf10>
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")[2026-01-29 01:07:00,180] INFO: Creating mesh. Hang on.
Interpolating model: mantle.
Interpolating model: crust.
<salvus.mesh.data_structures.unstructured_mesh.unstructured_mesh.UnstructuredMesh object at 0x790b8793f510>
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[2026-01-29 01:07:01,504] INFO: Creating mesh. Hang on.
<salvus.mesh.data_structures.unstructured_mesh.unstructured_mesh.UnstructuredMesh object at 0x790b878b0c90>
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)[2026-01-29 01:07:02,514] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2601290107516475_4ce4d9bc52@local
[2026-01-29 01:07:15,334] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2601290107337413_2395d8338d@local
[2026-01-29 01:07:21,639] INFO: Submitting job ... Uploading 1 files... 🚀 Submitted job_2601290107641430_f203f2781d@local
p.viz.waveforms(
event="event_0000",
receiver_name="XX.XX",
data=["blobs", "blobs_reinterp", "1d"],
receiver_field="velocity",
)[]