On wave and rheidity properties of the Earth’s crust

Vikulin, A. V.; Makhmudov, Kh. F.; Ivanchin, Alexander; Gerus, A. I.; Dolgaya, Anna

doi:10.1134/s1063783416030306

Cited by 19 publications

(14 citation statements)

References 12 publications

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“…Так, в работе [Vikulin, Ivanchin, 2013], в которой критикуется статья [Garagash, Nikolaevskiy, 2009], а вместе с ней и континуум Коссе-ра в целом, фактически утверждается, что несим-метричность тензора напряжений ведет к наруше-нию закона сохранения момента импульса. В до-полнение к этому заявляется, что «вопрос о сим-метричности тензора напряжений, вообще говоря, является решенным» [Vikulin et al, 2016], но не со-общается, кто автор такого решения, о каком тен-зоре напряжений идет речь и в рамках какого кон-тинуума введен этот тензор. С отмеченными утверждениями согласиться нельзя.…”

Section: о критике со стороны последователей лд ландау и ем лившицаunclassified

“…Подчеркнем, что любые рассуждения о свой-ствах тензора напряжений беспредметны, если, как это делается в [Vikulin, Ivanchin, 2013;Vikulin et al, 2016] и в других работах, не конкретизируется, ка-кие, собственно, силовые напряжения (Коши, Пиолы, Кирхгофа, Эшелби и т.д.) имеются в виду.…”

Section: о критике со стороны последователей лд ландау и ем лившицаunclassified

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On Discrete Structure of Geologic Medium and Continual Approach to Modeling Its Movements

Мухамедиев

2016

Geodin. tektonofiz.

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This paper discusses the structure of a geologic medium represented by accessible lithified rocks and provides an overview of methods used to describe its movements. Two basic opinions are considered in the framework of the discussion: (1) an initially homogeneous and continuous geologic medium acquires the structure composed of blocks in the process of the geologic medium's deformation/destruction/degradation, and (2) a geologic medium is composed of blocks (and often has hierarchic, active, energy-saturated features), and the continuity model is thus not valid for describing the geologic medium's deformation. Proponents of the first point of view actively apply the standard or modified continuum model of a solid deformed body (SDB) in estimations of the stress-strain state, but the input parameters of this model do not contain any information on discreteness in principle. Authors who support the second opinion, either explicitly or implicitly assume that the block structure of the geologic medium, which is detectable by geological methods, makes a direct and unambiguous impact on all other mechanical properties of the geologic medium and, above all, on the nature of its movements.Based on results obtained by interpreting the data collected in our long-term field studies of rock fracturing, mathematical processing of GPS-measurements, and theoretical models, we agree with the concept of the geologic medium's block structure, but argue that the geologic block-structure property is not acquired but congenital. Regarding sedimentary rocks, it means that the discrete structure has been already embodied in the rock before sediment lithification, regardless of the intensity of macroscopic deformations. A discrete structure is the form of the geologic medium existence and a cause of the congenital anisotropy of the geologic medium's strength characteristics. Due to subsequent deformation of the geologic medium, some elements of the structure can be manifested more clearly, and the structure itself can become more complex due to secondary effects. At the same time, the structure of geologic blocks is not directly manifested in the spatial and temporal features of the recent movements in the geologic medium. However, it is not an obstacle to developing continuum models of such movements in the same way as, for instance, the adequacy of the continuum general theory of relativity is not denied in view of the discrete-hierarchical structure of the Universe.The key requirements to a model include its applicability, testability, confirmability/deniability of its predictions in the investigated space-time scale, and compliance with conservation laws. This paper briefly discusses the most important aspects of the continuum approach based on the concept of an effective continuous medium and, above all, the Cauchy continuum model, envisaging that the dynamic response of the medium in spatial descriptions is given only by the Cauchy symmetric stress tensor (T). In more general continuum models of the medium (such as mom...

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Section: о критике со стороны последователей лд ландау и ем лившицаunclassified

On Discrete Structure of Geologic Medium and Continual Approach to Modeling Its Movements

Мухамедиев

2016

Geodin. tektonofiz.

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“…Based on the analysis of inertial motion of the asthenosphere and solid upper layers of the Earth, it is assumed that each particle of mantle substrate tries to conserve its angular momentum with the changing velocity of the Earth's rotation [Fylatj'ev, 2007]. Theoretical studies argue that the rotating motion of the tectonic block according to the law of conservation of angular momentum leads to the generation of deformations and stresses in surrounding blocks [Vikulin, 2015a] [Vikulin et al, 2016]. Therefore the resulting field of tectonic stresses of all blocks, plates, and geological structures of the Earth is a manifestation of their interaction within the framework of a rotational model of the Earth.…”

Section: Introductionmentioning

confidence: 99%

Geodynamics

Tretyak¹,

Al-Alusi²,

Babiy³

2018

ГЕОДИНАМІКА

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The purpose of this work is elaboration of the results of long-term GNSS-observations at permanent stations located on the Antarctic tectonic plate; the determination of the change in its rotational parameters and angular momentum, the calculation of the angular momentum of the Earth, the oceanic and atmospheric masses, and the establishment of the interrelationship between these parameters. Methods. The work represents an improved algorithm for determining the parameters of the Euler pole and the angular velocity of the tectonic plate, taking into account the continuity and unevenness of time series of daily solutions of the spatial location of permanent GNSS-stations. Results. According to the results of daily solutions of 28 permanent GNSS-stations in Antarctica for the period (1996-2014), the average position of Euler pole, the angular velocity of the plate, and their annual changes are determined. The annual parameters of the tensor of inertia and angular momentum of the Antarctic tectonic plate are determined. Using the data of the Earth's rotation service and geophysical observations, the annual changes in the angular momentum of the Earth, the tensors of moment of inertia, and angular momentum of oceanic and atmospheric masses for the period (1996-2014) have been calculated. Scientific novelty. It is established that during the whole observation period the increase of the angular momentum of the Antarctic tectonic plate corresponds to the decrease of the angular momentum of the Earth and the atmosphere. This indicates the conservation of angular momentum. The increases of the angular momentum of Antarctic tectonic plate corresponds to the increases of the angular momentum of the ocean. Explanation of this interrelationship requires additional research.

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“…Within the scope of the mechanical concept, motion with such properties [11,12] can occur only under the influence of own angular momentums of the blocks, in fact, their spins [14]. Interaction of the blocks determines both the motion of the Earth's crust as a whole and its "volume flowing in the cold state" [15] and / or its rheidity properties [16]. The Earth's rotation around its axis with angular velocity Ω and the rotational movements of crust blocks provided by "own moments" Ω, where is the moment of inertia of the spherical block, play an important role in geodynamics.…”

Section: Introductionmentioning

confidence: 99%

“…On the basis of these data, A. V. Vikulin with his co-authors developed a "rotational" approach to solving geodynamic problems (see, for example, [16,19]). This approach is based on the following assumptions: an elementary part of the rotating solid body -the Earth's crust blockis, first of all, a rigid non-deformable volume; secondly, its motion occurs under the action of its own moment; thirdly, such a motion leads to change of the stress state of the crust surrounding the block [16].…”

Section: Introductionmentioning

confidence: 99%

Propagation of rotational waves in a block geomedium

Ерофеев¹,

Leontyeva²,

Pavlov³

2017

J. vibroeng.

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On the base of assumption that the rotational movements of the chain of the crust blocks and the corresponding rotational waves characterizing the redistribution of tectonic stresses are described by the sine-Gordon equation with dissipation, the dispersion properties of this equation are analyzed. It is shown that the dispersion is manifested in the low-frequency range at high values of the dissipation factor. The presence of anomalous dispersion has been revealed for all values of the dissipation factor. Influence of this factor on dispersion is investigated. Some features of propagation of a stationary shock wave in a geomedium are studied. It has been found that the shock wave front width is directly proportional to the nonlinear wave velocity and to the dissipation factor of the medium, but it is inversely proportional to the nonlinearity coefficient.

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On wave and rheidity properties of the Earth’s crust

Cited by 19 publications

References 12 publications

On Discrete Structure of Geologic Medium and Continual Approach to Modeling Its Movements

On Discrete Structure of Geologic Medium and Continual Approach to Modeling Its Movements

Geodynamics

Propagation of rotational waves in a block geomedium

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