A major part of the seismicity striking the Mediterranean area and other regions worldwide is hosted in carbonate rocks. Recent examples are the destructive earthquakes of L’Aquila (Mw 6.1) in 2009 and Norcia (Mw 6.5) in 2016 in central Italy. Surprisingly, within this region, fast (≈3 km/s) and destructive seismic ruptures coexist with slow (≤10 m/s) and nondestructive rupture phenomena. Despite its relevance for seismic hazard studies, the transition from fault creep to slow and fast seismic rupture propagation is still poorly constrained by seismological and laboratory observations. Here, we reproduced in the laboratory the complete spectrum of natural faulting on samples of dolostones representative of the seismogenic layer in the region. The transitions from fault creep to slow ruptures and from slow to fast ruptures were obtained by increasing both confining pressure (P) and temperature (T) up to conditions encountered at 3–5 km depth (i.e., P = 100 MPa and T = 100 °C), which corresponds to the hypocentral location of slow earthquake swarms and the onset of seismicity in central Italy. The transition from slow to fast rupture is explained by an increase in the ambient temperature, which enhances the elastic loading stiffness of the fault, i.e., the slip velocities during nucleation, allowing flash weakening and, in turn, the propagation of fast ruptures radiating intense high-frequency seismic waves.
In Earth’s upper crust, faults release elastic strain energy stored in the wall rocks via different modes of slip. Depending on the velocity of the rupture front (Vr), faults may creep or generate slow (Vr ≤ 10 m/s; Ide et al., 2007), sub-Rayleigh (Vr ≈ 3000 m/s; also called fast ruptures), or supershear (Vr ≥ 4200 m/s) earthquakes (Kanamori and Brodsky, 2004; Bouchon and Vallée, 2003; Passelègue et al., 2013; Marty et al., 2019). The Mediterranean area and several other regions worldwide are affected by moderate- to large-magnitude earthquakes (Chiaraluce, 2012; Valoroso et al., 2013) nucleating and propagating within (4–8 km) carbonate sequences (i.e., limestones and dolostones). This is the case of the Northern and Central Apennines of Italy, which were recently struck by destructive seismic sequences largely hosted within dolomitic rocks (Figs. 1A and 1B; Chiaraluce, 2012; Valoroso et al., 2013). These sequences were characterized by complex spatio-temporal distributions of mainshocks-aftershocks, with (1) most of the seismicity compartmentalized between 10 km and ∼3 km depth, and (2) a sharp upper seismicity cutoff at ∼3 km depth (Fig. 1B; Chiaraluce, 2012; Valoroso et al., 2013). Remarkably, in this region, destructive fast seismic ruptures coexist with slow (≤10 m/s) and nondestructive rupture phenomena (Figs. 1A and 1B; Crescentini et al., 1999; Amoruso et al., 2002). From a rock mechanics point of view, the coexistence of these different modes of slip remains enigmatic because carbonates can accommodate deformation by crystal-plastic processes, such as aseismic mechanical twinning and dislocation glide, even at room temperature (De Bresser and Spiers, 1997). The ability of calcite crystals to deform plastically at low pressure (P) and temperature (T) can explain the lack of acoustic emission activity (microseismicity) during failure of carbonates at shallow depth conditions (Schubnel et al., 2006; Nicolas et al., 2017). To investigate the frictional stability of carbonates, recent experimental studies focused on the frictional behavior of calcite- and dolomite-rich fault rocks sheared at subseismic to seismic slip rates to determine the frictional behavior of carbonates at ambient and crustal temperatures (Verberne et al., 2015; Fondriest et al., 2013; De Paola et al., 2015). Here, we report the results of triaxial experiments (see the method in the GSA Data Repository1) performed on saw-cut samples cored in dolostone blocks of the Mendola Formation (northeast Italy, Upper Triassic in age) (Fondriest et al., 2015).
The experiments were conducted in ambient conditions (temperature and pressure) typical of Earth’s crust where all these different slip modes occur (Fig. 1). We studied the influence of both confining pressure and bulk temperature on the stability of the experimental fault system. Experiments were coupled to strain gauges and an acoustic sensor array to discriminate the nature of the seismicity (see detailed methods in the Data Repository).
At 25 °C, slip initiated when the shear stress reached the peak strength of the fault, corresponding to a static friction, fs, = τ0/σn0 ≈ 0.4 (where τ0 and σn0 are the shear stress and the normal stress at the onset of instability, respectively). At this temperature, the fault exhibited typical frictional behavior (dependence of peak shear stress on confining pressure), and strain energy accumulated during loading was released by stable slip (Fig. 1C). Increasing the ambient temperature to 65 °C preserved the frictional behavior of the fault but led to a transition from stable slip to stick-slip motion (Fig. 1D). In this case, while stress-strain curves suggest stick-slip motion, slow ruptures of ∼0.1 m/s were observed, and no high-frequency radiations were recorded. At 100 °C, the fault exhibited a different mechanical behavior. Fast ruptures were observed at both 60 and 90 MPa confining pressure, while only slow ruptures were observed at 30 MPa confining pressure. Fast ruptures induced strong high-frequency motions, recorded on both high-frequency acoustic and dynamic strain monitoring systems. Note that coexisting slow ruptures, which do not produce high-frequency motions, were also observed in the first stage of the experiments conducted at 90 MPa confining pressure. For each event, the peak shear stress at the onset of slip increased with normal stress, which shows that fault reactivation respects frictional criteria independent of the temperature and pressure conditions (Fig. 2A).
At low confining pressure (30 MPa), the increase of the peak friction with ambient temperature led to a transition from stable slip to slow rupture. At 60 and 90 MPa confining pressure, a similar trend was observed: An increase in temperature led to an increase of the peak friction coefficient and to a transition from stable slip to slow rupture, but to fast rupture at T = 100 °C (Fig. 2A). Moreover, the amount of stress released via the different modes of slip observed depended on the peak shear stress reached during the loading. Larger peak shear stress led to larger stress drop (Fig. 2B). However, frictional drop remained small during stable slip and slow rupture (Δf ≈ 0.05). For similar values of initial shear stress, fast rupture released a larger amount of shear stress (Fig. 2B), i.e., larger frictional drop, which ranged from 0.07 to 0.22 (Fig. 2B). This behavior is highlighted by comparing the static stress drop of each event to the related amount of slip. Each mode of slip (i.e., stable, slow and fast rupture) presents a different linear relation between the static stress drop and the fault slip (Fig. 2C). For the same value of slip, the resulting stress drop is larger during fast ruptures than during slow ruptures. Note that slow ruptures observed at both 65 °C and 100 °C followed the same trend, suggesting similar mechanisms. These results suggest that fast ruptures are more dispersive than slow ruptures.
NUCLEATION OF SLOW AND FAST RUPTURES
Using the travel times of the rupture front recorded by the array of strain gauges located along fault strike, estimates for Vr during slow rupture propagation range from 0.1 to 20 m/s (Fig. 3A). These values are in agreement with rupture velocities of natural slow earthquakes (Ide et al., 2007), suggesting that our experimental slow ruptures are similar to those observed in nature. An increase of Vr during rupture propagation was observed along fault strike (Fig. 3A). In addition, increasing the initial shear stress (i.e., the confining pressure) led to larger rupture velocities at the onset of the frictional instability. To further analyze the influence of the background shear stress, we computed the evolution of stress with slip (weakening stiffness K = Δτ/Δu, where u corresponds to the slip along the fault) during each event induced during the experiments conducted at 65 °C under 30, 60, and 90 MPa confining pressure, respectively. The weakening process during slow rupture was slip weakening (Fig. 3B), confirming recent expectations (Ikari et al., 2013). In addition, the increase in the peak shear stress along fault strike led to a larger fraction of shear stress released during the slip events (Fig. 3B). Assuming a typical earthquake energy budget (Kanamori and Brodsky, 2004), pure slip weakening behavior is expected to drastically limit the radiated energy during rupture propagation, explaining the smaller stress drop for a given amount of slip compared to fast rupture phenomena.
Fast earthquakes present a complex nucleation behavior. At the onset of slip, dynamic strain recording showed that fault slip accelerates and radiates low-amplitude and relatively low-frequency (20 kHz) acoustic waves (Fig. 3C). At a critical point (red dashed line in Fig. 3C), the shear stress drops abruptly within 20 μs, initiating high-frequency wave radiation. Using piezoelectric transducers as seismic rupture chronometers (Passelègue et al., 2016), we estimated rupture velocities ranging from 1500 to 5200 m/s. Our estimations for ruptures speed are compatible with previous studies (Passelègue et al., 2016) and with the rupture speed of classic earthquakes (Ide et al., 2007). The amplitude and the frequency of the acoustic motions increased with the stress release rate (Figs. 3C and 3D). Note that the radiation of the high-frequency wave front appeared to occur after the release of half of the shear stress (half of the dynamic stress drop). These results suggest that fault weakening initiates before the radiation of high-frequency waves.
Fault surfaces recovered from experiments where stable slip and slow ruptures occurred have highly light-reflective patches visible to the naked eye. These patches are similar to the mirror-like slip surfaces previously observed in nature or after friction experiments conducted with subseismic to seismic slip rates on carbonate rock gouges (Fondriest et al., 2013; Verberne et al., 2015). Scanning electron microscope images reveal the extremely smooth topography of mirror surfaces, composed of tightly packed to welded, subrounded nanograins with negligible porosity (Fig. 4A). In contrast, fault surfaces that experienced fast ruptures are on average much rougher than those after stable slip and slow rupture and are pervasively covered by a foam-like material embedding small well-rounded nanograins with an average size of 150 nm (Fig. 4B). The foam-like material locally includes ultrathin (>5 nm in thickness) filaments and patches connecting and wrapping the nanograins (Fig. 4B), recalling frictional melting textures found in silicate-bearing rocks sheared under similar deformation conditions (Passelègue et al., 2016).
INTERPRETATION AND DISCUSSION
Our experiments reproduced the complete spectrum of natural faulting: (1) stable slip at room temperature, (2) slow ruptures at 65 °C, and (3) coexisting slow and fast ruptures at 100 °C. Our experimental approach succeeded in explaining the onset of fault creep and the transition from slow ruptures (Crescentini et al., 1999; Amoruso et al., 2002) to typical seismicity at P-T conditions encountered at 3 km depth, as observed in the Central Apennines based on seismological and geodetic investigations (Chiaraluce, 2012). It seems that this first-order similarity between experimental and natural fault-slip modes was mainly controlled by the variation in temperature. However, since all the experiments were performed in dry conditions, we cannot rule out the potential role played by pore fluids.
In our experiments, the transition from stable to unstable slip was promoted by a combination of the confining pressure, which increases the stiffness of the fault (Fig. DR2 in the Data Repository; Leeman et al., 2016), and the fault temperature, which promotes unstable behavior of rocks and carbonates (Blanpied et al., 1995; Brantut et al., 2011; Verberne et al., 2015; Pluymakers et al., 2016). This finding could be counterintuitive, since an increase in ambient pressure and temperature enhances microplasticity in carbonates, which should release part of the stored elastic strain energy and reduce the rupture speed (Rutter, 1972; Nicolas et al., 2017). In our experiments, the stiffness of the fault increased with both bulk temperature and confining pressure (see the Data Repository, and Fig. DR2a therein) and became greater than the stiffness of the apparatus (Fig. DR2; Fig. 4C), reducing the nucleation length to sizes smaller than the experimental fault length (Fig. 4C). These processes are at the origin of the transition from a stable to slow rupture front.
The transition from slow to fast rupture is more complicated. First, the transition seems to depend on the peak friction along the fault at the onset of slip (Fig. 2A), as previously observed (Ben-David et al., 2010; Passelègue et al., 2013). However, large values of peak friction alone are not sufficient to induce fast rupture propagation at low confining pressure. As expected theoretically, ruptures speed increases with the fault weakening rate. In our experiments, the weakening rate increased with the peak slip rate reached during rupture propagation (Fig. 4C). For weakening stiffness (K) above that of the apparatus (K > Kc), the slip rate became faster than 1 m/s, and could reach up to 10 m/s, within the limit of our resolution (see the Data Repository). This enhancement in the weakening stiffness and weakening rate can be explained by the activation of weakening mechanisms due the increase in the slip rates.
While the activation of plastic mechanisms explains the weakening and transition from stable to unstable behavior in calcite (De Paola et al., 2015; Green et al., 2015; Verberne et al., 2015, 2017; Pozzi et al., 2018), these mechanisms are not dominant in dolomite (see the Data Repository). However, sliding velocities above a critical weakening velocity (Vw) are expected to activate flash heating phenomena during fast events (Goldsby and Tullis, 2011; Passelègue et al., 2014; Aubry et al., 2018). First, based on the size of initial asperities, flash decarbonation is expected to occur when the slip rate becomes larger than 1 cm/s (Fig. 4C), explaining the low weakening observed during slow ruptures (10–4 < Vsslow < 10–2 m/s). Second, assuming the average slip rate observed during fast ruptures (≈2.5 m/s), we can state that asperities larger than 0.24 μm are expected to decarbonate during their lifetimes during fast ruptures (see the Data Repository). These results agree with postmortem microstructures, which highlighted nanograins wrapped by a foam-like material that resembles a solidified melt. Note that in carbonate minerals, the melting point decreases dramatically in the presence of CO2 at room humidity conditions and can be close to the decarbonation temperature, explaining the melting observed at the scale of the asperities (Wyllie, 1965). The activation of flash heating on asperities during instabilities seems to explain both (1) the gap existing between slow and fast ruptures in terms of weakening and slip velocity (Fig. 4C), and (2) the strong enhancement of the weakening rate during the nucleation of fast ruptures, which initiates the radiation of high-frequency seismic waves (Figs. 3C and 3D).
To conclude, our results demonstrate that, in contrast to silicate rocks such as granite, which behave dynamically (fast rupture propagation) without activation of strong weakening processes (Blanpied et al., 1995; Passelègue et al., 2016; Leeman et al., 2016), dynamic rupture and high-frequency radiation require the activation of intense fault weakening in carbonates, such as frictional flash weakening in dolomite or plastic processes in calcite (Verberne et al., 2015, 2017; Pluymakers et al., 2016; Pozzi et al., 2018).
Passelègue acknowledges funding provided by the Swiss National Science Foundation through grant PZENP2/173613. This work was funded by the European Research Council through grant NE/K009656/1 to Di Toro and through grant 681346 to Schubnel. We thank Experimental Officer Yves Pinquier for assistance with specimen fabrication and equipment maintenance. We acknowledge A. Niemeijer, M. Ikari, and N. De Paola for their reviews, which improved the paper significantly.