Dynamics of the Earth shape transformation

Tserklevych, A. L.; Zayats, Oleksandr; Shylo, Y.

doi:10.3103/s0884591317030060

Cited by 8 publications

(5 citation statements)

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“…Такий процес найімовірніше може відбуватись унаслідок переміщення мас і збільшення об'єму Землі, хоча можуть бути задіяні й інші геодинамічні чинники, наприклад, пов'язані зі зміщенням ядра [Баркин, 2011]. Зауважимо, що дослідження зміни параметрів фігури Землі за результатами GNSS спостережень стаціонарно діючих станцій підтверджують збільшення радіуса Землі із швидкістю 0,2-0,35 мм/рік [Баркин, 2011;Shen et al, 2015;Tserklevych et al, 2017]. Збільшення середнього радіуса Землі підтверджується й за результатами комп'ютерного моделювання палеореконструкцій розміщення материків і водної поверхні на растрових картах палеореконструкцій за геологічною шкалою, починаючи від сучасної епохи до 600 млн років потому [Церклевич та ін., 2019].…”

Section: т а б л и ц я 1 розподіл густини вздовж радіуса землі кг/мunclassified

“…Geodesy and Geodynamics, 6(4), 248-252. https://doi.org/10.1016/j.geog.2015.05.006. Tserklevych, A.L., Zayats, O.S. & Shylo, Y.O.…”

Section: мм Fys аL Tserklevych 2021mentioning

confidence: 99%

“…Якщо допустити, що повна потенціальна енергія планети в процесі її еволюції зменшується внаслідок гравітаційної диференціації, то такий результат може бути досягнутий лише через переміщення мас і збільшення об'єму Землі. Про збільшення об'єму верхньої оболонки, а звідси і радіуса планети свідчать результати досліджень [Баркин, 2011;Shen et al, 2015;Tserklevych et al, 2017;Церклевич та ін., 2019].…”

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Influence of the principle of minimum potential energy on the distribution of density and gravitational energy of the Earth for the reference model PREM

Fys

Tserklevych

2021

GZh

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From the point of view of modeling the internal structure of the Earth, its figure and evolution play an important role, which to one degree or another are associated with gravitational energy and the principle of its minimization. The realization of the minimum principle of potential for models of the distribution of the Earth’s density is the key in studies on the detection of inhomogeneous mass distribution. Achieving the minimum gravitational energy of the Earth is equivalent to the approximation of the internal structure to the hydrostatic state, and this condition is achieved due to variations in density. Therefore, for correct geophysical interpretation of gravimetric data, it is necessary to align the PREM (Preliminary Reference Earth Model) with harmonic coefficients of geopotential and minimum functional condition that determines gravitational energy, and only on this basis to estimate variations in density and tectonosphere. An algorithm for representing a piecewise continuous density distribution function in a spherical PREM model by Legendre polynomials is proposed in the paper to calculate the density, potential and energy distribution in an ellipsoidal planet using an additional condition — the minimum of gravitational energy. The use of such an algorithm made it possible to transform the spherically symmetric PREM model to a hydrostatically balanced state. It turned out that in the model obtained, the excess potential energy is concentrated in the inner and outer core of the Earth, and also insignificantly in the planet’s crust. The total energy E for the PREM reference model, which is subdivided into ellipsoidal layers, is 2.3364∙1024 erg, and in the modified PREM model after its correction for the hydrostatic component, it is 2.2828∙1024 erg. Estimation of density redistribution and identification of areas of their greatest change provide a mechanism for explaining the dynamic processes in the middle of the Earth.

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Section: т а б л и ц я 1 розподіл густини вздовж радіуса землі кг/мunclassified

“…Geodesy and Geodynamics, 6(4), 248-252. https://doi.org/10.1016/j.geog.2015.05.006. Tserklevych, A.L., Zayats, O.S. & Shylo, Y.O.…”

Section: мм Fys аL Tserklevych 2021mentioning

confidence: 99%

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Influence of the principle of minimum potential energy on the distribution of density and gravitational energy of the Earth for the reference model PREM

Fys

Tserklevych

2021

GZh

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“…Для исследования динамики изменения фигуры Земли, а также оценки влияния, изменённых параметров фигуры на распределение тангенциальных сил, действующих на напряженное состояние литосферы, нами использована идея аппроксимации высот физической поверхности планеты двухосным эллипсоидом с семью параметрами. Алгоритм решения этой задачи был рассмотрен в статьях [2,3].…”

Section: фигура литосферы земли и геотектоникаunclassified

Shape of Earth's lithosphere and geotectonics

Tserklevych¹,

Shylo²

2018

Dopov. Nac. akad. nauk Ukr.

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“…But human activity does not lead to the destruction of the earth's surface [Close, 2010], it is the action of completely different processes -exogenous, and for the restored areas require their definition and mapping. Exogenous processes have a negative impact on the environment, landslides in settlements destroy houses, roads and other linear engineering structures [Tserklevych, et al, 2017[Tserklevych, et al, , 2018. With the help of GIS-technologies it is possible to map the negative effects of these processes and predict their spread with the help of modern geographic information systems [Kazachenko L. M., Kazachenko D. A., 2018;Rogister, 2009].…”

Section: Introductionmentioning

confidence: 99%

Geodesy, Cartography and Aerial Photography

Kazachenko¹,

Kazachenko²,

Zhidkova³

2021

ISTCGCAP

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The development of exogenous processes on the Earth's surface is a large-scale problem. Due to the development of exogenous processes there are changes in the composition and structure of the earth's crust and its surface. The destruction of streets, houses and public buildings, roads and railways leads to enormous losses. To predict the development of soil degradation, erosion processes on agricultural lands, which lose annual production areas, leads to the formation of a ravine-beam system and reduces the productive amount of land owned by citizens – is a solution. The use of GIS technologies, remote sensing of the Earth and modern programming can partially solve the problem, as it is a rapid identification of areas that have undergone the process of soil degradation and possible prediction of the development of negative phenomena. The use of geodetic software, GIS, information layers of the Public cadastral map can help in the fastest finding of territories, development of the forecast of the further destructive action, development of the corresponding protective methods and their introduction. The areas with manifestations of exogenous processes - soil degradation in agricultural enterprises, where every year the area of highly fertile chernozems is lost, which leads to large losses and landslides in the forest-steppe and steppe settlements of Kharkiv region have been subject of our study. We investigated destructive processes by geodetic measurements in the territories of their manifestations, observations were carried out for 8 years. The development of exogenous processes on the Earth's surface was revealed, which was manifested in landslides in the settlements of the forest-steppe zone and degradation of agricultural lands in the steppe and forest-steppe part of Kharkiv region. The cause of the destruction of the earth's surface were factors independent of human activity. We built 3-D models of development of exogenous processes manifested in soil erosion and growth of the ravine-beam system and determined the degree of erosion after surveying and processing the results of geodetic measurements in the software Digitals. For 8 years, we made changes to the software, surveying the area and building a monitoring line. Also in the settlements on the territory of the two zones, we observed the development of landslides on the streets of the village. Milova and s. Nova Vasylivka, where there is an intensive development of exogenous processes. The use of GIS technologies and remote sensing of the Earth to monitor the development of exogenous processes simplifies the solution.

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Dynamics of the Earth shape transformation

Cited by 8 publications

References 1 publication

Influence of the principle of minimum potential energy on the distribution of density and gravitational energy of the Earth for the reference model PREM

Influence of the principle of minimum potential energy on the distribution of density and gravitational energy of the Earth for the reference model PREM

Shape of Earth's lithosphere and geotectonics

Geodesy, Cartography and Aerial Photography

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