Published February 4, 2025 | Version v1

Diffuse wave-field correlation in space: An instantaneous time-reversal mirror for Green's function retrieval

  • 1. EDMO icon ETH Zürich

Description

Spectral element simulations of a diffuse linear elastic wavefield in 2D using 30000 Dirac Delta sources (A Dirac pulse emitted at the first time step of the simulation).
The time-domain wave propagation simulation was performed using the SALVUS package by Mondaic.
Details on the software can be found in Afanasiev 2019 [1]. The diffuse field is achieved by 30000 randomly distributed elastic point forces with random orientation and strength.  The time-series of wave propagation is used for the numerical experiment in 'Diffuse wave-field correlation in space: An instantaneous time-reversal mirror for Green's function retrieval' - Aichele, Müller, van-Manen.
The medium closely mimics soft tissue, with a compression wave velocity of 1500 m/s, shear wave velocities of 1 and 2 m/s and a density of 1000 kg/m3. 
The repository also contains the results of a simulation with a single Delta source for pedagogic purposes. 
The source positions for the diffuse field are saved in the file SrcList. csv which  can be loaded with:

import pandas as pd

# Load CSV into Pandas DataFrame
SrcListLoad = pd.read_csv("SrcList.csv")

The simulation configuration for Salvus is free from attenuation and defined in the following: 

mc = sn.ModelConfiguration(
    background_model=None, volume_models="noAtt"
)

center_frequency = 300.0

p += sn.SimulationConfiguration(
    name=simulation_name,
    max_frequency_in_hertz=center_frequency * 2.0,
    elements_per_wavelength=2.5,
    model_configuration=mc,
    event_configuration=sn.EventConfiguration(
        wavelet=sn.simple_config.stf.Delta(
            #center_frequency=center_frequency
        ),
        waveform_simulation_configuration=sn.WaveformSimulationConfiguration(
            end_time_in_seconds=0.025,
            receiver_sampling_rate_in_time_steps=10000, # output every xth for receivers
            time_step_in_seconds=2.5e-8, # fix the timestep -- > 0.25 ms
            # This is to tell the simulation to actually
            # simulate with attenuation or not.
        ),
    ),
    )

The results are saved as displacements in m at a time sampling of dt=2.5e-4 s. 

You can load the time-series of displacement in Matlab: load('Deltaevent_030000.mat').
The displacements are saved in vz_vx with the dimensions: space, space, polarization of displacement, time. 
A small Matlab example script to load and show the data can be found under LoadAndShowExampleScript.m

[1]Afanasiev, Michael, Christian Boehm, Martin van Driel, Lion Krischer, Max Rietmann, Dave A May, Matthew G Knepley, and Andreas Fichtner. “Modular and Flexible Spectral-Element Waveform Modelling in Two and Three Dimensions.” Geophysical Journal International 216, no. 3 (March 1, 2019): 1675–92. https://doi.org/10.1093/gji/ggy469.

 

Files

SrcList.csv

Files (1.2 GB)

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md5:ba7a4363e22d7292c2dccbce1377376a
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Additional details

Funding

Swiss National Science Foundation
Immersive experimentation for realizing metamaterials, focusing functions and space-time transformations 197182