The scattering from generalized Cantor fractals

We consider a fractal with a variable fractal dimension, which is a generalization of the well known triadic Cantor set. In contrast with the usual Cantor set, the fractal dimension is controlled using a scaling factor, and can vary from zero to one in one dimension and from zero to three in three dimensions. The intensity profile of small-angle scattering from the generalized Cantor fractal in three dimensions is calculated. The system is generated by a set of iterative rules, each iteration corresponding to a certain fractal generation. Small-angle scattering is considered from monodispersive sets, which are randomly oriented and placed. The scattering intensities represent minima and maxima superimposed on a power law decay, with the exponent equal to the fractal dimension of the scatterer, but the minima and maxima are damped with increasing polydispersity of the fractal sets. It is shown that for a finite generation of the fractal, the exponent changes at sufficiently large wave vectors from the fractal dimension to four, the value given by the usual Porod law. It is shown that the number of particles of which the fractal is composed can be estimated from the value of the boundary between the fractal and Porod regions. The radius of gyration of the fractal is calculated analytically.Comment: 8 pages, 4 figures, accepted for publication in J. Appl. Crys

The relationship of organization Failure Modes and Effects Analysis with the safety quality for Supply Chain Risk Management

Abstract- Supply chain risk management (SCRM) is a key component of not only supply success but firm success as well. All Companies aim to achieve the highest level in quantity and quality of their products in the shortest time while preserving the safety of their workers and providing all appropriate conditions for them. Whereas many institutions spend a lot of money to implement international safety and quality standards in order to reach this goal, they continue to suffer from some failures on the level of worker safety and unstable product quality. The presence of the human factor necessarily means the possibility of errors, and these errors naturally have accumulations that may reach even the furthest point in the organization and this leads to an increased possibility of accidents and fluctuations in product quality and waste of time. In view of the common goals and similarities between the Failure Modes and Effects Analysis (FMEA) organization, supply chain risk management, and the effective pivotal role of the FMEA organization in extracting points of failure and errors at the FMEA organization and field levels. Linking them in a way that allows managers to explore errors in the least time possible to remedy its consequences. The relationship between the FMEA organization and product quality management aims to improve performance and improve product quality in the shortest possible time

Soil patterns as a factor of crop heterogeneity

This paper examines the relationship between the heterogeneity of different crops in the Tula region of the Russian Federation based on vegetation observations during the period 2015-2020 with the mapping units of a large (scale 1:10,000) soil map. NDVI values calculated from Sentinel-2 satellite data were used as a measure of crop heterogeneit

Озёра у ледника Малый Азау на Эльбрусе: динамика и прорывы

The lake dynamics and the current state of them were analyzed on the basis of interpretation of aerial and satellite images of different years together with results of field surveys. Areas of six lakes existing in different years near the Maliy Azau Glacier had been determined. On August 22, 2011, the maximum area of one of the lakes was equal to 25.5 thousand m2. The first outburst was caused by the landslide deformations of the moraine massif forming a part of the lake basin, while the second one was a result of degradation of the lake ice dam and the water overflow on top of it. The present‑day lake dams (terminal‑moraine ramparts and medial moraine ridges) are the result of the Maliy Azau Glacier advance in 1990s. The revealed feature of the lake dynamics on the mountain Elbrus was a drop of the water level and corresponding decrease of the lake areas in winter that was related to existence of the groundwater runoff into fractured volcanic rocks. At present, moraine dams of lakes and areas of the surface water runoff from the lakes are in stable condition due to which there is no threat of a lake outburst. However, the potential threat of outburst still remains because of high seismicity and possible volcanic activity in this region.На основе дешифрирования аэрофотоснимков и космических снимков приводятся данные о количестве и динамике озёр у ледника Малый Азау за 1957–2015 гг. Наибольшая площадь озера (25,5 тыс. м2) зафиксирована на космоснимке 22.08.2011 г. незадолго до прорыва. Прорывы озёр происходили в 1978 и 2011 гг. и имели разные причины. Первый прорыв связан с оползневыми деформациями моренного массива, слагающего часть озёрной котловины, второй – с деградацией ледяной плотины озера и переливом воды поверх неё. Установлен также факт значительного падения уровня воды в озёрах в зимний период

О наступании ледников в условиях вулканической деятельности вулкана Ключевской (Камчатка)

New data on continuing advance of the Kamchatka glaciers Erman, Vlodavets, Sopochny, Schmidt, and Bogdanovich were obtained as a result of analysis of aerospace information taken at different times. Glacier Erman advances during the past 70  years (1945–2016). Over the period from 1949 to 2016, its area increased by 4.7 km2 and the length – by 3.3 km (from 18.2 to 21.5 km). The highest speed of advancing had been estimated for the Schmidt glacier, in 2007–2013 it exceeded 100 m/year. We had identified a new isolated glacier between glaciers Erman and Schmidt, named as the Obvalny (the «Avalanche») glacier, since in 1945 this glacier was buried under volcanic-avalanche deposits resulted from the Klyuchevskaya volcano eruption. In 1975–2016, the Obvalny glacier advanced over a distance of about 1700 m. Also, we had found more 30 ice-rock massifs («wandering glaciers») on slopes of the Klyuchevskaya volcano. Their contours looked like drops or tongues, and some of them advanced in the frontal zone. From 2002 to 2016, the «wandering glacier» in the upper reaches of river Glubokaya (eastern sector of the volcano) advanced for 740 m (55 m/year). Advancing of glaciers here is a consequence of lateral and terminal eruptions of the Klyuchevskaya volcano in XX and XXI centuries. Erman Glacier, glacier advance, Klyuchevskaya volcano, lateral eruption, space images, volcanic and rock avalanche deposits, «wandering glaciers».На основе анализа разновременной аэрокосмической информации за период 1949–2016 гг. полу- чены новые данные о современном состоянии и наступании ледников района вулкана Ключев- ской – Эрмана, Влодавца, Сопочного, Шмидта, Богдановича и безымянных «блуждающих ледников». Площадь ледника Эрмана увеличилась на 4,7 км2, а длина достигла 21,5 км. Самые высокие темпы наступания – до 100 м/год – характерны для ледника Шмидта. Наступание ледников есть следствие латеральных и терминальных извержений вулкана Ключевской в XX и XXI вв