Transient Electromagnetic Method in the Keritis basin (Crete, Greece): Evidence of hierarchy in a complex geological structure in view of Tsallis distribution.

Vallianatos, Filippos

doi:10.4401/ag-7551

Cited by 8 publications

(5 citation statements)

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“…Non-extensivity represents one of the most intriguing characteristics of systems that have experienced long-range temporal correlations [ 38 ] which is observed in seismicity and recently has been verified in terms of natural time analysis [ 39 ]. The applicability of NESP in Earth physics has been demonstrated in a series of recent publications on seismicity [ 40 , 41 , 42 , 43 , 44 , 45 , 46 , 47 ], natural hazards [ 48 , 49 ], plate tectonics [ 50 ], geomagnetic reversals [ 51 ], rock physics [ 52 , 53 ], applied geophysics [ 54 ] and fault-length distributions [ 55 , 56 , 57 ].…”

Section: Introductionmentioning

confidence: 99%

A Complexity View into the Physics of the Accelerating Seismic Release Hypothesis: Theoretical Principles

Vallianatos

Chatzopoulos

2018

Entropy

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Observational indications support the hypothesis that many large earthquakes are preceded by accelerating-decelerating seismic release rates which are described by a power law time to failure relation. In the present work, a unified theoretical framework is discussed based on the ideas of non-extensive statistical physics along with fundamental principles of physics such as the energy conservation in a faulted crustal volume undergoing stress loading. We define a generalized Benioff strain function Ω ξ ( t ) = ∑ i = 1 n ( t ) E i ξ ( t ) , where Ei is the earthquake energy, 0 ≤ ξ ≤ 1 . and a time-to-failure power-law of Ω ξ ( t ) derived for a fault system that obeys a hierarchical distribution law extracted from Tsallis entropy. In the time-to-failure power-law followed by Ω ξ ( t ) the existence of a common exponent mξ which is a function of the non-extensive entropic parameter q is demonstrated. An analytic expression that connects mξ with the Tsallis entropic parameter q and the b value of Gutenberg—Richter law is derived. In addition the range of q and b values that could drive the system into an accelerating stage and to failure is discussed, along with precursory variations of mξ resulting from the precursory b-value anomaly. Finally our calculations based on Tsallis entropy and the energy conservation give a new view on the empirical laws derived in the literature, the associated average generalized Benioff strain rate during accelerating period with the background rate and connecting model parameters with the expected magnitude of the main shock.

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Section: Introductionmentioning

confidence: 99%

A Complexity View into the Physics of the Accelerating Seismic Release Hypothesis: Theoretical Principles

Vallianatos

Chatzopoulos

2018

Entropy

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“…As q increases the physical state (in the sense of statistical physics) becomes much more complex. Note that our results are not based on an empirical guess for the seamount volume distribution but derived from the first principle of non-extensive Tsallis entropy formalism, which is completely universal and has a long range of application [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. The physical meaning underlying the non-extensive entropy formalism is that the final geophysical state can be considered as a collection of heating parts which, after division, have the sum of individual entropies larger than the entropy of the initial state.…”

Section: Discussionmentioning

confidence: 99%

“…Since they are key components of Earth physics processes, Tsallis statistical mechanics is suitable to explore the distribution of seamounts in ESC. Its applicability in Earth and planetary physics has been demonstrated in a series of recent publications on seismicity [16][17][18][19][20][21], natural hazards [22,23], plate tectonics [24], geomagnetic reversals [25], rock physics [26], applied geophysics [27], and Earth's and Mars' fault-length distributions [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

A Non-Extensive Statistical Mechanics View on Easter Island Seamounts Volume Distribution

Vallianatos¹

2018

Geosciences

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Abstract:In the volcanic complex processes, inherent long-range interactions exist suggesting that Non-Extensive Statistical mechanics could be used to describe fundamental properties of the system. Based on the non-extensive Tsallis entropy a frequency-volume distribution function is suggested for the Easter Island-Salas y Gomez seamounts chain. Our results demonstrate the applicability of fundamental principles of Tsallis entropy to derive the cumulative distribution of seamounts volumes. The work suggests that the processes responsible for hotspot seamount formation are complex and the cumulative frequency-volume distribution of seamounts in the Easter Island/Salas y Gomez Chain (ESC) are well-described by a q-exponential function. The analysis leads to a non-extensive index q = 1.54 in agreement with that presented in other geodynamic or laboratory scale effects.

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“…Transient electromagnetic (TEM) surveys have effectively mapped the electrical resistivity structure of various Late Neogene-Quaternary sedimentary basins of distinct depositional environments (Soupios et al [1,2]; Vallianatos [3]; Koutsios et al [4]; Kanta et al [5]; Mollidor et al [6]; von Papen et al [7]; Yogeshwar et al [8]; Kourgialas et al [9]; Autio et al [10]; Demirci et al [11]; Kalisperi et al [12]; Rani et al [13].) TEM data can also be used to correct static shifts in magnetotelluric data surveys (Ruiz-Aguilar et al [14]).…”

Section: Introductionmentioning

confidence: 99%

Subsurface Geological Characterization of the Late Neogene–Quaternary Argive Basin, Peloponnese, Greece Using Transient Electromagnetic Data and Vintage Stratigraphic Logs

2021

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The onshore and offshore clastic deposits of the Argive Basin and the Argolic Gulf, respectively, in Peloponnese, Greece, form a Late Neogene–Quaternary half-graben that connects with the Aegean Sea. The onshore Late Neogene–Quaternary sequence, comprised of chaotically intercalated cohesive and granular clastic deposits, is in angular unconformity with bedrock comprised of Triassic–Upper Cretaceous strongly-weathered, highly-fractured karstic limestones thrusted against Paleogene flysch deposits. While the surface geology of the Argive Basin is well-known, the subsurface geology remains both poorly mapped and understood. We utilized transient electromagnetic (TEM) soundings coupled with 185 vintage stratigraphic logs, current surface geology knowledge, and insights from available geophysical surveys to characterize the subsurface conditions of this sedimentary basin. We estimated the thickness of the young deposits (the depth to bedrock) and detected potential subsurface tectonic structures. The TEM-FAST 48HPC data acquisition system with integrated inversion and visualization software package was used with a single-loop dimension of 50 m × 50 m to collect a total of 329 TEM soundings at 151 stations scattered throughout the basin. The TEM station spacing varied from 200 to 750 m allowing the mapping of 80 km2. The total depth of investigation with the inverted TEM data and the lithology logs was 130 m and 183 m, respectively. The joint interpretation produced several quasi-two-dimensional electrical resistivity profiles that traverse the sedimentary basin in various azimuths and depth slices of average electrical resistivity covering the basin. The depth slices and the vintage stratigraphic logs revealed an uneven bedrock topography overlain by an irregularly thick (over 180 m) Late Neogene–Quaternary heterolithic sediment cover.

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Transient Electromagnetic Method in the Keritis basin (Crete, Greece): Evidence of hierarchy in a complex geological structure in view of Tsallis distribution.

Abstract: It is being increasingly recognized that geological media are inherently rough with persistent, long-range spatial correlations in physical prop

Cited by 8 publications

References 43 publications

A Complexity View into the Physics of the Accelerating Seismic Release Hypothesis: Theoretical Principles

A Complexity View into the Physics of the Accelerating Seismic Release Hypothesis: Theoretical Principles

A Non-Extensive Statistical Mechanics View on Easter Island Seamounts Volume Distribution

Subsurface Geological Characterization of the Late Neogene–Quaternary Argive Basin, Peloponnese, Greece Using Transient Electromagnetic Data and Vintage Stratigraphic Logs

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