S. , We thank Katrin Hannemann and one anonymous reviewer for their detailed, constructive reviews

M. C. Anchieta, C. J. Wolfe, G. L. Pavlis, F. L. Vernon, J. A. Eakins et al., Seismicity around the Hawaiian Islands Recorded by the PLUME Seismometer Networks: Insight into Faulting near Maui, Molokai, and Oahu, Bulletin of the Seismological Society of America, vol.101, issue.4, pp.1742-1758, 2011.
DOI : 10.1785/0120100271

G. Barruol and K. Sigloch, Investigating La R??union Hot Spot From Crust to Core, Eos, Transactions American Geophysical Union, vol.94, issue.23, pp.205-207, 2013.
DOI : 10.1002/2013EO230002
URL : https://agupubs.onlinelibrary.wiley.com/doi/pdf/10.1002/2013EO230002

G. D. Bensen, M. H. Ritzwoller, M. P. Barmin, A. L. Levshin, F. Lin et al., Processing seismic ambient noise data to obtain reliable broad-band surface wave dispersion measurements, Geophysical Journal International, vol.166, issue.8, pp.1239-1260, 2007.
DOI : 10.1111/j.1365-246X.2007.03374.x
URL : https://hal.archives-ouvertes.fr/insu-01556805

M. Beyreuther, R. Barsch, L. Krischer, T. Megies, Y. Behr et al., ObsPy: A Python Toolbox for Seismology, Seismological Research Letters, vol.81, issue.3, pp.530-533, 2010.
DOI : 10.1785/gssrl.81.3.530

F. Brenguier, N. M. Shapiro, M. Campillo, V. Ferrazzini, Z. Duputel et al., Towards forecasting volcanic eruptions using seismic noise, Nature Geoscience, vol.33, issue.2, pp.126-130, 2008.
DOI : 10.1038/ngeo104
URL : https://hal.archives-ouvertes.fr/insu-00332590

F. Brenguier, M. Campillo, C. Hadziioannou, N. M. Shapiro, R. M. Nadeau et al., Postseismic Relaxation Along the San Andreas Fault at Parkfield from Continuous Seismological Observations, Science, vol.33, issue.5627, pp.321-1478, 2008.
DOI : 10.1126/science.1084783
URL : https://hal.archives-ouvertes.fr/hal-00353290

C. Corela, G. Silveira, L. Matias, M. Schimmel, and W. H. Geissler, Ambient seismic noise tomography of SW Iberia integrating seafloor-and land-based data, Tectonophysics, pp.700-701, 2017.

C. Davy, E. Stutzmann, G. Barruol, F. R. Fontaine, and M. Schimmel, Sources of secondary microseisms in the Indian Ocean, Geophysical Journal International, vol.42, issue.Q11004, pp.1180-1189, 2015.
DOI : 10.1785/0120090203
URL : https://hal.archives-ouvertes.fr/hal-01236096

E. Flores-mendez, M. Carbajal-romero, N. Flores-guzmán, R. Sánchez-martínez, and A. Rodríguez-castellanos, Rayleigh's, Stoneley's, and Scholte's Interface Waves in Elastic Models Using a Boundary Element Method, Journal of Applied Mathematics, vol.67, issue.2, 2012.
DOI : 10.1121/1.1918318

P. Gouédard, T. Seher, J. J. Mcguire, J. A. Collins, and R. D. Van-der-hilst, Correction of Ocean-Bottom Seismometer Instrumental Clock Errors Using Ambient Seismic Noise, Bulletin of the Seismological Society of America, vol.104, issue.3, pp.1276-1288, 2014.
DOI : 10.1785/0120130157

A. Haned, E. Stutzmann, M. Schimmel, S. Kiselev, A. Davaille et al., Global tomography using seismic hum, Geophysical Journal International, vol.93, issue.25, pp.1222-1236, 2016.
DOI : 10.1038/nature05536
URL : https://academic.oup.com/gji/article-pdf/204/2/1222/1620265/ggv516.pdf

K. Hannemann, F. Krüger, and T. Dahm, Measuring of clock drift rates and static time offsets of ocean bottom stations by means of ambient noise, Geophysical Journal International, vol.171, issue.1, pp.1034-1042, 2014.
DOI : 10.1111/j.1365-246X.2007.03492.x

M. Hobiger, U. Wegler, K. Shiomi, and H. Nakahara, Coseismic and postseismic elastic wave velocity variations caused by the 2008 Iwate-Miyagi Nairiku earthquake, Japan, Journal of Geophysical Research: Solid Earth, vol.115, issue.B9, pp.117-09313, 2012.
DOI : 10.1029/2009JB006567

K. Hosseini and K. Sigloch, ObspyDMT: a Python toolbox for retrieving and processing large seismological data sets, Solid Earth, vol.8, issue.5, pp.1047-1070, 2017.
DOI : 10.1093/gji/ggv388

I. G. Hughes and T. P. Hase, Measurements and Their Uncertainties: A Practical Guide to Modern Error Analysis, 2010.

L. Krischer, T. Megies, R. Barsch, M. Beyreuther, T. Lecocq et al., ObsPy: a bridge for seismology into the scientific Python ecosystem, Computational Science & Discovery, vol.8, issue.1, 2015.
DOI : 10.1088/1749-4699/8/1/014003

E. Larose, A. Derode, M. Campillo, and M. Fink, Imaging from onebit correlations of wideband diffuse wave fields, J. Appl. Phys, issue.12, pp.95-8393, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00109957

B. M. Le, T. Yang, Y. J. Chen, and H. Yao, Correction of OBS clock errors using Scholte waves retrieved from cross-correlating hydrophone recordings, Geophysical Journal International, vol.116, issue.4, pp.891-899, 2018.
DOI : 10.1121/1.1791718

O. I. Lobkis and R. L. Weaver, On the emergence of the Green???s function in the correlations of a diffuse field, The Journal of the Acoustical Society of America, vol.110, issue.6, pp.3011-3017, 2001.
DOI : 10.1121/1.1417528

T. Megies, M. Beyreuther, R. Barsch, L. Krischer, and J. Wassermann, ObsPy ? what can it do for data centers and observatories? Ann, Geophys, vol.54, issue.1, pp.47-58, 2011.

G. Rossum, Python reference manual, Tech. Rep., CWI (Centre for Mathematics and Computer Science, 1995.

K. G. Sabra, P. Roux, A. M. Thode, G. L. D-'spain, W. S. Hodgkiss et al., Using Ocean Ambient Noise for Array Self-Localization and Self-Synchronization, IEEE Journal of Oceanic Engineering, vol.30, issue.2, pp.338-347, 2005.
DOI : 10.1109/JOE.2005.850908

K. G. Sabra, P. Gerstoft, P. Roux, and W. A. Kuperman, Surface wave tomography from microseisms in Southern California, Geophysical Research Letters, vol.116, issue.8, pp.32-14311, 2005.
DOI : 10.1121/1.1810232
URL : http://onlinelibrary.wiley.com/doi/10.1029/2005GL023155/pdf

J. G. Scholte, THE RANGE OF EXISTENCE OF RAYLEIGH AND STONELEY WAVES, Geophysical Journal International, vol.5, issue.5, pp.120-126, 1947.
DOI : 10.1111/j.1365-246X.1947.tb00347.x

C. Sens-schönfelder, Synchronizing seismic networks with ambient noise, Geophys, J. Int, vol.174, issue.3, pp.966-970, 2008.

C. Sens-schönfelder and U. Wegler, Passive image interferometry and seasonal variations of seismic velocities at Merapi Volcano, Indonesia, Geophysical Research Letters, vol.33, issue.3, p.21302, 2006.
DOI : 10.1029/2006GL027797

C. Sens-schönfelder, E. Pomponi, and A. Peltier, Dynamics of Piton de la Fournaise volcano observed by passive image interferometry with multiple references, Journal of Volcanology and Geothermal Research, vol.276, pp.32-45, 2014.
DOI : 10.1016/j.jvolgeores.2014.02.012

N. M. Shapiro and M. Campillo, Emergence of broadband Rayleigh waves from correlations of the ambient seismic noise, Geophysical Research Letters, vol.110, issue.B12, pp.31-07614, 2004.
DOI : 10.1121/1.1417528
URL : https://hal.archives-ouvertes.fr/hal-00107919

S. Hable,

N. M. Shapiro, M. Campillo, L. Stehly, and M. H. Ritzwoller, Highresolution surface-wave tomography from ambient seismic noise, Science, issue.5715, pp.307-1615, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00107913

S. C. Stähler, Performance report of the RHUM-RUM ocean bottom seismometer network around La R??union, western Indian Ocean, Advances in Geosciences, vol.41, pp.43-63, 2016.
DOI : 10.5194/adgeo-41-43-2016-supplement

L. Stehly, M. Campillo, and N. M. Shapiro, Traveltime measurements from noise correlation: stability and detection of instrumental time-shifts, Geophysical Journal International, vol.91, issue.24, pp.223-230, 2007.
DOI : 10.1111/j.1365-246X.2007.03492.x
URL : https://hal.archives-ouvertes.fr/hal-00315603

Y. Tian and M. H. Ritzwoller, Improving ambient noise cross-correlations in the noisy ocean bottom environment of the Juan de Fuca plate, Geophysical Journal International, vol.343, issue.8???9, pp.1787-1805, 2017.
DOI : 10.1016/j.crte.2011.04.004

U. Wegler, H. Nakahara, C. Sens-schönfelder, M. Korn, and K. Shiomi, 6.6 mid-Niigata earthquake, Japan, observed with Passive Image Interferometry, Journal of Geophysical Research, vol.149, issue.1, p.6305, 2009.
DOI : 10.1007/978-3-540-89623-4

P. Wessel, W. H. Smith, R. Scharroo, J. Luis, and F. Wobbe, Generic Mapping Tools: improved version released, EOS, Trans. Am. geophys. Un, issue.45, pp.94-409, 2013.

Y. Xia, S. Ni, X. Zeng, J. Xie, B. Wang et al., Synchronizing Intercontinental Seismic Networks Using the 26??s Persistent Localized Microseismic Source, Bulletin of the Seismological Society of America, vol.105, issue.4, pp.2101-2108, 2015.
DOI : 10.1785/0120140252

J. Xie, S. Ni, R. Chu, and Y. Xia, Assessing the short-term clock drift of early broadband stations with burst events of the 26??s persistent and localized microseism, Geophysical Journal International, vol.171, issue.9), pp.324-332, 2018.
DOI : 10.1007/s00024-014-0811-1

Z. Zhan, V. C. Tsai, and R. W. Clayton, Spurious velocity changes caused by temporal variations in ambient noise frequency content, Geophysical Journal International, vol.101, issue.3, pp.1574-1581, 2013.
DOI : 10.1785/0120100118