Identifying plausible historical scenarios for coupled lake level and seismicity rate changes: The case for the Dead Sea during the last two millennia

Belferman, Mariana; Agnon, Amotz; Katsman, Regina; Ben-Avraham, Zvi

doi:https://doi.org/10.5194/nhess-2021-62

Preprints

https://doi.org/10.5194/nhess-2021-62

Preprints

24 Mar 2021

Review status: this preprint is currently under review for the journal NHESS.

Identifying plausible historical scenarios for coupled lake level and seismicity rate changes: The case for the Dead Sea during the last two millennia

Mariana Belferman¹, Amotz Agnon², Regina Katsman¹, and Zvi Ben-Avraham¹ Mariana Belferman et al.

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¹The Dr. Moses Strauss Department of Marine Geosciences, Leon H. Charney School of Marine Sciences, University of Haifa, Mt. Carmel, Haifa 3498838, Israel
²The Fredy & Nadine Herrmann Institute of Earth Sciences, The Hebrew University of Jerusalem, Jerusalem 9190401, Israel

Received: 26 Feb 2021 – Accepted for review: 20 Mar 2021 – Discussion started: 24 Mar 2021

Abstract. Seismicity triggered by water level changes in reservoirs and lakes is usually studied from well-documented contemporary records. Can such triggering be explored on a historical time scale when the data gathered on water level fluctuations in historic lakes and the earthquake catalogs suffer from severe uncertainties? These uncertainties stem from the different nature of the data gathered, methods, and their resolution. In this article, we considerably improve the correlation between the continuous record of historic water level reconstructions at the Dead Sea and discrete seismicity patterns in the area over the period of the past two millennia. Constricted by the data from previous studies, we generate an ensemble of random water level curves and choose that curve that best correlates with the historical records of seismic stress release in the Dead Sea reflected in the destruction in Jerusalem. We then numerically simulate a synthetic earthquake catalog using this curve. The earthquakes of this synthetic catalog show an impressing agreement with historic earthquake records from the field. We demonstrate for the first time that water level changes correlate well with the observed recurrence interval record of historic earthquakes.

Mariana Belferman et al.

Status: final response (author comments only)

RC1:
'Comment on nhess-2021-62', Anonymous Referee #1, 30 Mar 2021
In this paper, the authors apply a constant tectonic shear loading on a theoretical 1D vertical strike sip fault along with water lake forcing at the surface and calculate nucleation of seismic events. They use different water level history curves and choose the best fit water level that predict synthetic seismicity similar to historical records. They conclude that based on the similarities between their synthetic seismicity and the historical seismicity they can constrain water level history of the Dead Sea – Lisan lake.

I find this work to be misleading for several reasons:

There is no obvious correlation between lake level and seismicity. Seismicity occurs equally at high and low levels (Fig. 1 c and d). If at all, the water level has a minor effect on seismicity. The major forcing for seismicity is tectonic forcing. The reason that earthquakes do show exact intervals of recurrence could be related to changing shear forcing, damage processes, or viscoelastic relaxation. In my opinion, these processes are more likely to be responsible for the changing recurrence intervals. It is possible to get non-uniform intervals with any diffusion process and lake loading and pore pressure diffusion seems to me to be the least favorable. Furthermore, the model used in this paper use very questionable assumption (see following sections).

The most questionable assumption is that the pore pressure at hypocentral depth approaches the value at the lake’s bed. At the Dead Sea, even shallow boreholes are over pressurized. Water level in Ein Feshkha are artesian. Shallow aquifers <30m do not approach the lake water level. Ein Feshkha site is very close to a fault. Hypocentral depth at the Dead Sea could be 25 km. Between seismic events, faults heal and the permeability of the faults is very low. Deep layers will never approaches the value at the lake’s bed. Given a reasonable permeability, it will take millions of years. How can pore pressure at this depth approach the lake pressure? What about compaction and poroelastic loading? Furthermore, the diffusion time depend on the hypocentral depth. Hypocentral depth could be any number between 1 and 30 km. This will have a great effect on the relaxation time. The model does not take this into account because the hypocentral depth are unknown.

A second questionable assumption is that the pore pressure throughout the Dead Sea Basin at any depth responds elastically to changes in the lake level. The Dead Sea basin is layered with different rocks and soils. In fact, most of the basin is made up of clay. Clay is very plastic. Any deformation at the surface will plastically deform the clay and will not affect deep layers. The loading efficiency is very low. The rate of the water level changes is much slower than the rate required for plastic flow in the clay to redistribute deformation. I estimate that changes of 25m in water level loading at the surface do not significantly affect the stress at depths below 2-3 km.

To summarize, in my opinion, there are many problems with the simplistic model suggested in this paper. It ignores many processes and use unreasonable assumptions. This model cannot be used to calibrate the water level history of the Dead Sea.
Citation: https://doi.org/10.5194/nhess-2021-62-RC1
- AC1: 'Reply on RC1', Mariana Belferman, 20 Apr 2021
  
  With gratitude for the reviewer’s interest in our article, we draw attention to a few points regarding his comments:
  Comment 1:
  - According to the reviewer, the correlation between water level and seismic activity at the Dead Sea Basin is insignificant (our Fig.1).
  Response:
  Our earlier work demonstrated a correlation between water level and the recurrence interval of Dead Sea earthquakes (Belferman et al., 2018, Fig. 9). The present study (Figure 2 and corresponding text – pp. 13, lines 236-237 and Eq.7) indicates that the correlation between seismicity and water level change might even be higher than that demonstrated in Belferman et al., 2018 (Fig. 9). We explain that significant uncertainties in the water level data-set might hide the correlation (please see pp.3 50-71).
  
  - Seismicity occurs equally at high and low levels (the reviewer refers us to Fig. 1 c and d)
  Response:
  Our model does not preclude seismic activity during water level drops, it just takes longer for the loading to reach the increased threshold. We even predict the next future earthquake, when levels are projected to reach an unprecedented low. The reviewer writes about the correlation between the water level and seismic activity; please note - Fig.2c,d shows that the change in level inversely correlates with the recurrence interval of earthquakes, rather than with "seismic activity". In the submitted paper the linear correlation is clearly visible in the figures, especially in figure 1c. The Pearson correlation coefficient reported in detail should make this point clear.
  
  - According to the reviewer, all change in seismic activity is due to changes in the tectonic loading and the state of the solid crust. By his assessment, the water level change has a minor effect.
  Response:
  Tectonic motion is the primary cause and consequence of earthquakes in our model as well, but it is worth considering other factors triggering earthquakes. We refer the reviewer to our Introduction section: water level induced seismicity in particular, and anthropogenically induced seismicity in general, are broadly recognized phenomena over the world.
  The seismic response has been observed to be connected to reservoir impoundments and their seasonal water level variations (Gupta, 1992; Talwani, 1997; Tomic et al., 2009; Hua et al., 2013).
  Davies et al. (2013) compiled 198 examples of anthropogenically induced seismicity since 1929 all over the world, where higher magnitude earthquakes within this list (up to 7.9, in Zipingpu reservoir area, China 2006) are most often associated with reservoir impoundment. Foulger et al. (2018) presented a comprehensive and up-to-date database of seismicity induced or potentially induced by anthropogenic sources.
  van der Elst et al. 2016 show that the appearance of induced seismicity requires a reconsideration of seismic hazards, even in regions of formerly negligible seismic concern. Simpson et al. 2018 & Gupta 2018 indicate many statistical studies that reaffirm this correlation.
  In our previous work (Belferman et al., 2018), we indicated that this phenomenon may even be more applicable to the historic lakes, like those occupying the tectonic depression of the Dead Sea, due to the larger scale of water level fluctuations. The post-diffusion stage (when pore pressure at all depth approaches the value at the lake bed), is relevant for early historical data. At this stage, an increase in pore pressure due to the water level rise always dominates over the loading effect, leading to varying but always negative normal effective horizontal stress change at any combination of poroelastic constants (please see Belferman et al., 2018 Fig. 5b). This should trigger earthquakes with magnitudes higher than those in the corresponding immediate undrained (rapid) response, coming shortly after the corresponding water level rise (confirmed, for instance, for Lake Mead, Gupta, 2002; Simpson et al., 1988; Monticello reservoir, Rajendran and Talwani, 1992, and others).
  
  Comment 2:
  - The reviewer doubts the assumption that the effective normal vertical stress vanishes, and argues that given a reasonable permeability, it will take millions of years. In particular, he argues that between seismic events, faults heal and the permeability of the faults is very low. He chose the Ein-Feshkha spring, very close to an exposed fault, to argue for a lack of hydraulic connection with the deep aquifers.
  Response:
  Some of the material characteristics in fault zones may vary significantly, depending on the types of host rock and on state variables (e.g. temperature, pore pressure, depth, etc.). Specifically, values of hydraulic diffusivity of intact rocks differ considerably among rock types (Rice and Cleary, 1976), and strongly decay with depth (e.g. by ~6 orders of magnitude at a depth of 20 km compared to the shallow crustal values (Ingebritsen and Manning, 2010). However, such laboratory values are not determined under conditions approaching hydrofracture. Pore pressure diffusion in fault zones is usually dominated by fault damage zones, which act as conduits (Simpson et al., 1988). The reviewer mentions damage processes as a possible determinant of seismicity fluctuations. We totally agree and refer to Hamiel et al. (2005) where we simulated how, under damage accumulation, slender porous zones evolve and become faults. Recently, a poroelastic analysis by Jim Rice’s group of a real case of induced seismicity considered a realistic damage/permeability structure with a fault core and anisotropic damage/permeability zones. They have shown that the permeable zones indeed propagate from shallow depths to the seismogenic zone with hydraulic fracture (Yehya et al., 2018). In fact, a useful illustration of a related phenomenon was given by Yechieli and Bein (2002), preceding the largest instrumental earthquake on the Dead Sea Transform - the 1995 Gulf of Aqaba M7.2 event some 200 km away.
  Hydraulic diffusivity around faults, as obtained from various seismological observations, is independent of earthquake hypocentral depth and estimated to be on the order of 5.0 m2/s, termed as “seismogenic diffusivity” (e.g. Talwani and Acree, 1985; Hua et al., 2013; Talwani, 1997; 2007). This suggests that the flow through faults is relatively independent of the rock type (see Ingebritsen and Manning, 2010, and references therein). Therefore, the diffusivity of faulted rock in our study is best represented by the typical value of high-porosity Boise sandstone, 4.0 m2/s (Wang, 2000), as used for our calculations.
  Using this diffusivity, we calculate the diffusion time scale, that indicates the time of arrival of the excess pore pressure from the lake's bed to hypocentral depths over the fault, for an average hypocentral depth underneath the Dead Sea fault system, z ≅ 20 km (Aldersons et al., 2003; Godey et al., 2006; Shamir, 2006). This time scale is ~3yr, according to the characteristic time scale definition (e.g. Kirby, 2010; Wang, 2000). For more details see Belferman et all., 2018, Eq.3 and explanation below.
  This time scale is negligible compared to the typical recurrence intervals of decades and longer of moderate-to-large earthquakes (M > 5.5) in the Dead Sea area during the studied period (see Tables A1, A2, and text in Appendix chapter in the current ms). It is also insignificant compared to the minimal temporal uncertainty in the lake level curve, nominally taken as 10 years in our simulations.
  Regarding the Artesian aquifers around Ein Feshkha - these are very local, minimal (two out of numerous boreholes), shallow, and ephemeral (Swaed et al., Geological Survey Report: GSI-10-2014). Their relationships to faults are poorly established, as is the historical activity of the nearby fault (Sharon, et al., 2020). More relevant are the thermal waters, ubiquitous in the basin. These require connectivity within the top kilometers of the section.
  - The reviewer notes that even shallow boreholes at the Dead Sea are over-pressurized. Following this, he rules out vanishing of the normal vertical effective stress.
  Response:
  Our response concerns two points, mechanical and hydrological. The manuscript explicitly treats the effect of water level change relative to its minimal level (415 m below mean sea level - bmsl) over the period studied (pp. 8, rows 157-160). The normal stress change generated by such water level change is superimposed on the ambient regional tectonic stress field (please see pp.6 rows 120-127). First of all, we do not claim that normal vertical stress is zero. Moreover, being under the influence of gravity, the vertical stress depends on the hypocentral depth. Our model is based on the water level change effect being only on horizontal components of the normal effective stress (as was shown previously for the reservoir-induced seismicity by Simpson 1976, and then for large-scale surface water level fluctuations, in Belferman et al., Eq.10b and corresponding text in p.393). Simpson (1976) established that in all faulting environments, the vertical stress increase from water loading is eventually canceled out by increased pore pressure and the final, post-diffusion stage (as explained above), is one in which the vertical stress returns to its initial value. Secondly, assuming that the reviewer is referring to Ein Feshkha boreholes, as we noted above, their relationships with faults are poorly established, as is the historical activity of the nearby fault (Sharon, et al., 2020).
  On the hydrological aspect, we expand our response above for artesian waters around Ein-Feshkha. The shallow artesian aquifers mentioned by the reviewer are of the type described by Mazor et al. (1995) for the Dead Sea rift. These are isolated and local aquifers, trapped in the fine sediments. In the Dead Sea area, such aquifers occasionally seep, as reported by sinkhole studies (e.g. Al-Halbouni et al., 2017). The fluids spewed out are described as “sediment-laden”, and we interpret this to indicate suspension of fine-grain material from the shallow hydrologic system. These local effects do not necessarily represent the deeper aquifers that might be connected to the surface via fault zones as described above. Earlier descriptions of artesian water in drill holes (Shiftan, 1958; Bentor, 1961) also tap local aquifers that do not interact with active faults (at least during the last two millennia).
  
  Comment 3:
  - The reviewer doubts the assumption that the pore pressure throughout the Dead Sea Basin at any depth responds elastically to changes in the lake level. According to the reviewer, since the basin is mostly made of clay, having plastic properties, changing the water level by 25 meters will not affect the depth of 2-3 km.
  Response:
  With regard to the composition of the Dead Sea deposits, it was shown that clay is a minor component of the Dead Sea Basin (e.g. Frydman et al., 2008; Herut et al., 1997; Haliva-Cohen et al., 2012). Frydman et al., (2008) measured geotechnical properties and found vanishing cohesion, as opposed to any lithology dominated by clay minerals. They stated that the particle size is clay-size but the mineralogy is not. Herut et al., (1997) and Haliva-Cohen et al. (2012) characterized the mineralogies and (like others) found quartz and carbonates to be the leading detrital minerals.
  
  In summary, the reviewer seems to have misinterpreted some key points in our work. In our revision, we endeavor to better present our assumptions and results to avoid confusion. With the present knowledge of the hydrological and lithological properties of the Dead Sea Basin, as documented by current literature as referenced, our assumptions and conclusions remain intact.
  
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  Gupta H.,K.,2018,Reservoir triggered seismicity at Koyna, India, over the past 50 yrs. Bulletin of the Seismological Society of America 108.5B:2907-2918.
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  Hua W., Chen, Z., Zheng, S., and Yan, C., 2013b. Reservoir induced seismicity in the Longtan reservoir, southwestern China. J. Seismol. 17 ( 2) 667-681.
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  Citation: https://doi.org/10.5194/nhess-2021-62-AC1
RC2:
'Comment on nhess-2021-62', Anonymous Referee #2, 13 Jul 2021

This paper by Belferman et al. analyzes the correlation between the historical record of lake levels at the Dead Sea and regional seismicity through a numerical simulation of earthquake catalogs. The numerical simulations are based on relating the seismic stress release to characteristic water level curves derived from known control points, or dates of confirmed water levels (with associated uncertainties). The authors find a high correlation between the water level changes and historical earthquake recurrence interval. Overall, the paper is well written and lays out the appropriate motivation for this study. A couple comments are presented below.

As I understand, the assumption is that all stress release occurs along a single purely strike-slip fault plane. The authors acknowledge this assumption in the Discussion, and perhaps this paper is the groundwork for future modeling, but this is quite important. The distribution of smaller magnitude historical events will never be known, however using reasonable expected aftershock decay curves, one could include this additional accumulated stress release from the aftershocks in the modeling, or at least provide as a back-of-the-envelope calculation to determine its significance.

Secondly, the purely strike slip fault motion is likely an oversimplification of the stress release. As these events result from over-pressurized fault zones the slip distribution likely has non-double-couple components. While the total stress released is governed by the seismic moment, the length and orientation of the principle stress vectors relative to the expected shear stress can be significant for a range of plausible fault plane solutions. The modeling for this is not within scope, however my suggestion is to include some more comments regarding the strike-slip assumption.

line 75: define RI (=return interval?)

line 97: trend(s) ... are

line 112: should be Figure 1B

figure 1: Caption for C,D: what are the blue and black dots

Simulated RI and Literature RI y-axis scales should be the same extent

line 147: ifa -> if a

Citation: https://doi.org/10.5194/nhess-2021-62-RC2
- AC2:
  'Reply on RC2', Mariana Belferman, 18 Aug 2021
  This paper by Belferman et al. analyzes the correlation between the historical record of lake levels at the Dead Sea and regional seismicity through a numerical simulation of earthquake catalogs. The numerical simulations are based on relating the seismic stress release to characteristic water level curves derived from known control points, or dates of confirmed water levels (with associated uncertainties). The authors find a high correlation between the water level changes and historical earthquake recurrence interval. Overall, the paper is well written and lays out the appropriate motivation for this study. A couple comments are presented below.
  
  As I understand, the assumption is that all stress release occurs along a single purely strike-slip fault plane. The authors acknowledge this assumption in the Discussion, and perhaps this paper is the groundwork for future modeling, but this is quite important.
  
  We thank the reviewer for addressing two important points, both related to stress release. We will elaborate on these points in discussion in our revised manuscript.
  Comment 1:
  The distribution of smaller magnitude historical events will never be known, however using reasonable expected aftershock decay curves, one could include this additional accumulated stress release from the aftershocks in the modeling, or at least provide as a back-of-the-envelope calculation to determine its significance.
  
  Response:
  Large earthquakes are indeed accompanied by aftershocks, hence some of the stress is released by them. Nevertheless, the crustal response to the earthquake by aftershocks is minor and secondary compared to aseismic creep, as noted for many large earthquakes (e.g. Scholz 1972).
  This holds also for the Dead Sea Transform: following the last large earthquake (7.2 Mw) that occurred in 1995 along the southern part of the plate boundary, the aftershocks continued for about two years (Fig. 1). At least 50 percent of the total moment associated with these aftershocks was released during the first day after the main shock and over 95 percent in the first 3 months (Baer 2008). In total, the moment released by post-seismic deformation in the period of 6 months to 2 yr after the Nuweiba earthquake is about 15 percent of the co-seismic moment release (Baer 2008).
  In the time scale presented in our study, when the minimal inter-seismic period is about 50 years, the stress released during post-seismic period of 2 years can be considered a part of the main shock. This is further justified when considering the time-step we chose for the lake level curve 10 years (please see pp.5 row 105)
  
  Comment 2:
  Secondly, the purely strike slip fault motion is likely an oversimplification of the stress release. As these events result from over-pressurized fault zones the slip distribution likely has non-double-couple components. While the total stress released is governed by the seismic moment, the length and orientation of the principal stress vectors relative to the expected shear stress can be significant for a range of plausible fault plane solutions. The modeling for this is not within scope, however my suggestion is to include some more comments regarding the strike-slip assumption.
  
  Response:
  The reviewer correctly states that this aspect is beyond the scope of our research, as are other co-seismic aspects. However, we feel that our assumption regarding the strike slip orientation of the faulting process and sensitivity to the water level changes is well founded.
  The far-field maximal and minimal principal stresses, in the Dead Sea region are horizontal (Hofstetter et al., 2007; Palano et al. 2013), which is compatible with the nature of the strike-slip faulting (Anderson, 1951).
  The tectonic motion at the DSF is characterized predominantly by left-lateral strike-slip regime with a velocity of ~5 mm/yr along various segments (Garfunkel, 2014; Masson et al.,2015; Sadeh et al., 2012). Large earthquakes that initiate clusters are likely to rupture along the straight ~100 km segments (Lyakhovsky et al., 2001). The strike of these segments parallels to the differential plate velocity vector and thus can be approximated by simple shear.
  However, it should be added that due to a pull-apart basin structure of DST, it is possible that a significant part of the stress is released during motion along normal faults. For example, some of the major aftershocks and the slip resulted from 1995 earthquake, was along Gulf-parallel normal faulting NW of the main rupture (Baer 2008). In the Dead Sea Basin, GPS surveys indicate dominance of strike slip loading. Hamiel et al. (2018) show that, on a plate scale, horizontal shear loading dominates the velocity north of the lake. Hamiel and Piatibratova (2019) detected a sub mm/yr component of extension across the southern normal fault bounding the Dead Sea pull apart, yet the strike-slip component across this very fault seems much larger.
  Nevertheless, the seismic activity induced by the surface water level fluctuations and affected by the faulting regime is determined in turn by the relative orientations of the three principal stresses (Anderson, 1951). In regions where the vertical compressive stress is not minimal (normal and strike-slip faulting), seismic activity is more sensitive to the effective stress change due to water level change, than in regions where it is minimal (thrust faulting) (Simpson, 1976; Snow, 1982; Roeloffs, 1988). This is applicable to a case of reservoirs approximated as “infinite” in horizontal plane (e.g. Wang, 2000), with respect to the fault zone thickness and location. Such approximation is valid for our study area where the Dead Sea is large enough in a horizontal plane compared to the thickness of the underlying strike-slip fault located in the central part of the valley.
  These factors contribute to the high correlation observed between water level changes and historical earthquake recurrence interval.
  Figure 1: A cumulative count of aftershock (M_d≥2.4) following the Mw7.2 Gulf of Aqaba earthquake (22/11/1995). The termination of the series is estimated by the departure of the asymptote from the data or the fit to an Omori-Utsu behavior. Agnon et al., 2021
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  Citation: https://doi.org/10.5194/nhess-2021-62-AC2

Mariana Belferman et al.

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Mar 2021	98	22	5	125
Apr 2021	102	12	1	115
May 2021	36	3	0	39
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Jul 2021	22	8	2	32
Aug 2021	25	7	2	34
Sep 2021	10	18	1	29
Oct 2021	6	8	0	14

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Short summary

Internal fluid pressure in pores leads to breaking. With this mechanical principle and a correlation between historical water level changes and seismicity, we explore possible variants for water level reconstruction in the Dead Sea Basin. Using the best-correlated variant, an additional indication is established regarding the location of historical earthquakes. This leads us to propose a certain forecast for the next earthquake in view of the fast and persistent dropping level of the Dead Sea.


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