RU2549533C1 - Method to determine gravity pressure of material medium in massif and its natural density - Google Patents

Abstract

FIELD: measurement equipment.

SUBSTANCE: invention relates to the field of "Physics of material contact interaction" and serves to determine gravity (compression) pressure in a massif of material medium of certain density. The method to determine gravity pressure of material medium in a massif and its natural density consists in the fact that at the specified depth h (cm) of the material medium massif using field methods of engineering survey, they determine the angle φ_srt of the inner friction and specific adhesion c_srt of the medium of integral structure under conditions of gravity (compression) pressure p_c. At the same time the value of gravity pressure in the massif of elastic cohesive plastic soil medium is determined according to dependence $$p_{cG}=c_G^{str}\cos {\phi }_G^{str}(1-\sin {\phi }_G^{str})/(1+{\sin }^2{\phi }_G^{str}),$$

and density of soil medium is calculated as $${\rho }_G^{str}=\frac{c_G^{str}\sin {\phi }_G^{str}}{gh}\left(\frac{1-\sin {\phi }_G^{str}}{1+{\sin }^2{\phi }_G^{str}}\right)$$

at specific weight $${\gamma }_G^{str}=\frac{c_G^{str}\sin {\phi }_G^{str}}{h}\left(\frac{1-\sin {\phi }_G^{str}}{1+{\sin }^2{\phi }_G^{str}}\right),$$

where g - acceleration of free fall of a body under gravity conditions (cm/s). Then the value of gravity pressure in the massif of elastic resilient anisotropic peat medium is determined using dependence $$p_{cP}=\frac{c_P^{str}}{1-tg{\phi }_P^{str}},$$

and density of peat medium is calculated as $${\rho }_P^{str}=\frac{c_P^{str}}{gh(1-tg{\phi }_P^{str})}$$

at specific weight $${\gamma }_P^{str}=\frac{c_P^{str}}{h(1-tg{\phi }_P^{str})}=p_{cP}/h.$$

EFFECT: possibility to determine the value of gravity (compression) pressure in a massif of material medium by data of its strength parameters φ_str and c_str in integral condition, and also value of specific weight γ_str and density ρ_str of medium under conditions of gravity of Earth surface.

2 dwg

Description

The invention relates to the field of “Physics of Material Contact Interaction” and is used to determine the natural gravitational pressure in an array of material medium and its density.

в массиве структурированной материальной среды и ее плотности ρ_стр (кг/см³), заключающийся в том, что на глубине h (см) материального массива в условиях действия гравитации с ускорением свободного падения тела g (см/с²) определяют плотность материальной среды из выражения ρ_стр=m/V (кг/см³), где m - масса отобранного образца среды (кг) объемом V (см³), а удельный вес среды ненарушенной структуры рассчитывают как γ_стр=ρ_стрg (кг/см³), а природное гравитационное давление в массиве определяют по зависимости

[1].A known method for determining natural gravitational pressure

in an array of structured material medium and its density ρ _pp (kg / cm ³ ), which consists in the fact that at a depth h (cm) of the material array under the influence of gravity with the acceleration of gravity g (cm / s ² ) determine the density of the material medium from the expression ρ _str = m / V (kg / cm ³ ), where m is the mass of the selected medium sample (kg) of volume V (cm ³ ), and the specific gravity of the undisturbed structure is calculated as γ _str = ρ _str g (kg / cm ³ ), and the natural gravitational pressure in the array is determined by the dependence

[one].

материальной среды в массиве является необходимость тщательного отбора из массива образцов материальной среды определенного объема с ненарушенной структурой и их догружения исходным гравитационным (бытовым) давлением

, значение которого принимают ориентировочным или определяют в массиве датчиками давления - мессдозами.The disadvantage of this method of determining the parameters ρ _p and

the material environment in the array is the need for careful selection from the array of samples of the material medium of a certain volume with an undisturbed structure and their loading with the initial gravitational (household) pressure

, the value of which is taken as a guideline or determined in the array by pressure sensors - messdozami.

а плотность грунтовой среды рассчитывают как

при удельном весе

, где g - ускорение свободного падения тела в условиях гравитации (см/с²), а величину гравитационного давления в массиве упругоэластичной анизотропной торфяной среды определяют по зависимости

, а плотность торфяной среды рассчитывают как

при удельном весе

The technical result according to a method for determining gravitational pressure of a material medium in the array and its natural density, lies in the fact that at a given depth h (cm) of the array material medium field methods of engineering studies determined angle φ _p internal friction and specific cohesion c _p undisturbed environment conditions of gravitational (household) pressure p _b , is achieved by the fact that the gravitational pressure in the array of visco-elastic plastic soil medium is determined by the dependence

and the density of the soil medium is calculated as

with specific gravity

, where g is the acceleration of gravity of the body under gravity (cm / s ² ), and the magnitude of the gravitational pressure in the array of an elastically elastic anisotropic peat medium is determined by the dependence

and the density of the peat medium is calculated as

with specific gravity

The invention is illustrated by graphic materials, where in FIG. 1 is a graph of Sh. Coulomb of the limiting state of a soil elastic-visco-plastic material medium, in FIG. 2 is a graph of the limiting state of a peat elastically elastic anisotropic medium in a swampy area under gravity.

предельного состояния грунтовой среды (фиг. 1) следует, что

, где p_б=r_Г, r_Г - малый радиус круга Мора материальной среды в состоянии растяжения за краями плоского жесткого штампа, R - большой радиус крута Мора материальной среды в состоянии сжатия под подошвой плоского жесткого штампа, причем R+r_Г=R₀. С другой стороны

Out of schedule

limit state of the soil environment (Fig. 1) it follows that

, where p _b = r _G , r _G is the small radius of the Mohr circle of the material medium in tension under the edges of the flat hard stamp, R is the large radius of the Mohr circle of the material environment in the state of compression under the sole of the flat hard stamp, and R + r _G = R ₀ . On the other hand

. Из уравнений (1)-(2) следуетwhere from

. From equations (1) - (2) it follows

.where from

.

получаем выражение для удельного веса грунта

. С учетом уравнения (3) получаем

- удельный вес грунта с плотностью

.With a known expression

we obtain the expression for the specific gravity of the soil

. In view of equation (3), we obtain

- specific gravity of soil with density

.

предельного состояния торфяной анизотропной среды (фиг. 2) следует, что гравитационное (бытовое) давление

в торфяной залежи с напластованиями горизонтальных малоразложившихся волокон растительных остатков определяется структурной прочностью этих волокон на растяжение, то есть

- удельный вес торфа на глубине h торфяной залежи.Out of schedule

limit state of the peat anisotropic medium (Fig. 2) it follows that the gravitational (household) pressure

in a peat deposit with layers of horizontal poorly decomposed fibers of plant residues is determined by the tensile structural strength of these fibers, i.e.

- the specific gravity of peat at a depth h of a peat deposit.

получаем величину удельного веса торфа в залежи ненарушенной структуры

при его структурной плотности

.At

we obtain the specific gravity of peat in the undisturbed structure

at its structural density

.

Example 1

, удельный вес суглинка

при его плотности

, где g=981 см/с² - ускорение свободного падения тела на поверхность Земли.According to the results of engineering surveys of the loam massif at a depth of h = 300 cm, its angle φ ^str = 25 ° of internal friction and specific adhesion c ^str = 0.2 kg 1 cm ^{2 were} determined. The value of gravitational (household) pressure at depth h is

, specific gravity of loam

at its density

where g = 981 cm / s ² is the acceleration of the free fall of the body on the surface of the Earth.

Example 2

и удельное сцепление

. Величина гравитационного (бытового) давления на глубине h равна

, удельный вес торфа

при его плотности

According to the results of engineering surveys of a peat deposit at a depth of h = 180 cm, its angle of internal friction is determined

and specific grip

. The value of gravitational (household) pressure at depth h is

specific gravity of peat

at its density

при степени ее разложения R_p=20% [2].According to the reference data, the specific gravity of lowland peat in the unconsolidated peat deposit is

with the degree of its decomposition R _p = 20% [2].

The present invention allows for the first time to determine the value of gravitational (household) pressure in an array of material medium according to its strength parameters φ _p and c _p in the undisturbed state, as well as the value of specific gravity γ _p and density ρ _{p of the} medium under gravitational attraction of the Earth's surface.

Information sources

1. Ter-Martirosyan Z.G. Mechanics of soils / Textbook. - M .: Publishing house of the Association of construction universities, 2005. - S. 24-25, 85, 389.

2. Reference on peat / Ed. Ph.D. A.V. Lazarev and Doctor of Engineering S.S. Korchunova - M .: Nedra, 1982. - P. 50.

Claims (1)

A method for determining gravitational material fluid pressure in the array and its natural density, consisting in that at a predetermined depth h (cm) of the array material medium field methods of engineering studies determined angle φ _p internal friction and specific cohesion c _p undisturbed environment under gravity ( household) pressure p _b , characterized in that the value of the gravitational pressure in the array of elastically-connected-plastic soil medium is determined by the dependence

and the density of the soil medium is calculated as

with specific gravity

, where g is the acceleration of gravity of the body under gravity (cm / s ² ), and the value of the gravitational pressure in the array of uproelastic anisotropic peat medium is determined by the dependence

and the density of the peat medium is calculated as

with specific gravity

.

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