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Rupture Directivity - Insights from theoretical studies applied to observations

Kurzon I.(1), Grinberg L.(1,2), Lior I. (2)

(1) Geological Survey of Israel, 32 Yesha'ayahu Leibowitz, Jerusalem 9692100, Israel

(2) The Fredy and Nadine Herrmann Institute of Earth Sciences, The Hebrew University of Jerusalem, Israel

Rupture directivity is a seismic source property reflecting the dynamics of the rupture process. When ruptures exhibit a clear sense of direction, they generate asymmetric radiation patterns in seismic amplitudes and corner frequencies, an effect first described analytically by Ben-Menahem (1961) as a moving point-source. Subsequent numerical studies (Kurzon et al., 2019, 2021) demonstrated that incorporating source-volume, damage, and rheological complexity, significantly improves the representation of rupture processes, and that in many cases P-wave radiation patterns are more stable and indicative of rupture directivity than S-waves.
Here, we examine these numeric insights against field observations using a unique dataset of 31 earthquakes (Mw 2.5–4.5) from a seismic swarm in the Sea of Galilee. The events were recorded by ~30 stations with good azimuthal coverage, enabling robust assessment of rupture directivity and rupture properties. Our results show that (1) most events exhibit clear rupture directivity; (2) P-waves display stronger and more consistent directivity than S-waves, in agreement with numerical simulations; (3) S-waves generally show weaker directivity, but agree with P-waves inferred signatures; and (4) rupture propagation is predominantly toward the SE–SSE, compatible with an east-trending oblique fault. In addition, by quantifying the directivity strength from the radiation patterns, we may estimate rupture velocities as Vr/Vs = 0.65–0.95; S to P energy ratio as ~5–15; and S-wave energy loss of ~20–60% during rupture. Our results validate the numerical simulations and demonstrate the ability to infer dynamic rupture properties for small earthquakes.

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