Modeling algorithm of acoustic waves penetrating through a medium with composite hierarchical inclusions

Hachay, Olga; Khachay, Andrey; Khachay, Oleg

doi:10.1063/1.5084384

Cited by 4 publications

(10 citation statements)

References 1 publication

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“…As a result of the analysis performed in [23], the use of the theory of catastrophe recommendations [24] on the prediction of dynamic phenomena can be drawn from the following conclusions. The processes occurring in mountain massive are dynamic processes that can be controlled following the recommendations provided by the theory of catastrophes.…”

Section: Discussionmentioning

confidence: 99%

“…In these processes, the energy values during explosions and the location of these explosions relative to the region of the massif under study or being processed are the control parameters. The internal parameters are the kinematic and dynamic parameters of deformation waves [21,[25][26][27], as well as the structural features of the massif through which these waves pass [22]. The use of analysis methods for short-term and medium-term forecasting of the state of a mountain massif only by using control parameters is not enough because the massif has sharp heterogeneities.…”

Section: Discussionmentioning

confidence: 99%

“…New Principles of Monitoring Seismological and Deformation Processes Occurring in the Moon… DOI: http://dx.doi.org /10.5772/intechopen.84300 it was preceded by a long process of preparing a resonant energy release [22]. Based on the ideas presented in [18], the analyzed database was supplemented with data of spatial coordinates of impacts.…”

mentioning

confidence: 99%

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New Principles of Monitoring Seismological and Deformation Processes Occurring in the Moon Rock Massive

Hachay¹,

Khachay²

2019

Lunar Science

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Currently, the interest in studying the processes occurring in other planets surrounding the Earth is becoming increasingly important. The Moon-satellite planet is the closest to the planet Earth, and therefore, it makes sense to organize a system for studying it first and foremost, incorporating the most advanced ideas about the physics of processes in rock massive, which are also used in terrestrial conditions. In this paper, new ideas on the organization of seismological and deformation monitoring are set out, based on the results obtained for the rock massive of the Earth and the theoretical ideas presented in the works of I. Prigogine and S. Hawking.

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Section: Discussionmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

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New Principles of Monitoring Seismological and Deformation Processes Occurring in the Moon Rock Massive

Hachay¹,

Khachay²

2019

Lunar Science

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“…We calculate We assume that the elastic parameters of the third hierarchical inclusion for all ranks s and the enclosing layer are identical, and the density of the hierarchical inclusion for all ranks differs from the density of the host environment, then the system of equations for the third hierarchical inclusion of rank s = 1 has the form according to [5] is the number of the hierarchical level, expression (10). The algorithm stops if the hierarchy ranks become larger than the given numbers (8').…”

Section: Algorithm Of Modeling Sound Diffraction On a Two-dimensionalmentioning

confidence: 99%

“…In work [9], a new 2D modeling algorithm for sound diffraction on elastic and porous, moisture-saturated inclusion of a hierarchical structure located in the J-th layer of an N-layer elastic medium was developed. In [10], modeling algorithms were constructed in the acoustic case for a 2-D heterogeneity for an arbitrary type of excitation source of an N-layer medium with a separate hierarchical anomalous density, stressed and plastic inclusions located in the J-th layer.…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling Algorithms for Creating New Materials with Desired Properties Using Nano-Hierarchical Structures

Hachay¹,

Khachay²,

Khachay³

2019

AMPC

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In the enormous and still poorly mastered gap between the macro level, where well developed continuum theories of continuous media and engineering methods of calculation and design operate, and atomic, subordinate to the laws of quantum mechanics, there is an extensive meso-hierarchical level of the structure of matter. At this level unprecedented previously products and technologies can be artificially created. Nano technology is a qualitatively new strategy in technology: it creates objects in exactly the opposite way-large objects are created from small ones [1]. We have developed a new method for modeling acoustic monitoring of a layered-block elastic medium with several inclusions of various physical and mechanical hierarchical structures [2]. An iterative process is developed for solving the direct problem for the case of three hierarchical inclusions of l, m, s-th ranks based on the use of 2D integro-differential equations. The degree of hierarchy of inclusions is determined by the values of their ranks, which may be different, while the first rank is associated with the atomic structure, the following ranks are associated with increasing geometric sizes, which contain inclusions of lower ranks and sizes. Hierarchical inclusions are located in different layers one above the other: the upper one is abnormally plastic, the second is abnormally elastic and the third is abnormally dense. The degree of filling with inclusions of each rank for all three hierarchical inclusions is different. Modeling is carried out from smaller sizes to large inclusions; as a result, it becomes possible to determine the necessary parameters of the formed material from acoustic monitoring data.

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Defining the Contours of Combined Stressed, Anomaly Elastic and Anomaly Densed Hierarchical Inclusions Located into a Block Layered Medium by Wave’s Data of Active Acoustic and Electromagnetic Monitoring

Hachay

Khachay

2019

Latest Advancements in Underground Structures and Geological Engineering

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Modeling algorithm of acoustic waves penetrating through a medium with composite hierarchical inclusions

Cited by 4 publications

References 1 publication

New Principles of Monitoring Seismological and Deformation Processes Occurring in the Moon Rock Massive

New Principles of Monitoring Seismological and Deformation Processes Occurring in the Moon Rock Massive

Mathematical Modeling Algorithms for Creating New Materials with Desired Properties Using Nano-Hierarchical Structures

Defining the Contours of Combined Stressed, Anomaly Elastic and Anomaly Densed Hierarchical Inclusions Located into a Block Layered Medium by Wave’s Data of Active Acoustic and Electromagnetic Monitoring

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