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If the reduction in volume under compression is low, i.e., for V/V 0 greater than about 90%, the Murnaghan equation can model experimental data with satisfactory accuracy. Moreover, unlike many proposed equations of state, it gives an explicit expression of the volume as a function of pressure V(P). But its range of validity is limited and ...
Volumetric water content, θ, is defined mathematically as: = where is the volume of water and = + + is equal to the total volume of the wet material, i.e. of the sum of the volume of solid host material (e.g., soil particles, vegetation tissue) , of water , and of air .
Earth's density varies considerably, between less than 2700 kg/m 3 in the upper crust to as much as 13 000 kg/m 3 in the inner core. [13] The Earth's core accounts for 15% of Earth's volume but more than 30% of the mass, the mantle for 84% of the volume and close to 70% of the mass, while the crust accounts for less than 1% of the mass. [13]
Green curves show hypothetical Earths with density constant (dashed) and decreasing linearly from center to surface (stippled) The preliminary reference Earth model (PREM) plots the average of Earth's properties by depth. [1] It includes a table of Earth properties, including elastic properties, attenuation, density, pressure, and gravity.
Hypsometric curves are commonly used in limnology to represent the relationship between lake surface area and depth and calculate total lake volume. These graphs can be used to predict various characteristics of lakes such as productivity , dilution of incoming chemicals, and potential for water mixing.
Stream power is the result of multiplying the density of the water, the acceleration of the water due to gravity, the volume of water flowing through the river, and the slope of that water. There are many forms of the stream power formula with varying utilities, such as comparing rivers of various widths or quantifying the energy required to ...
where is the hydrostatic pressure in addition to the atmospheric one, is the volume at atmospheric pressure, is the volume under additional pressure , and , are experimentally determined parameters. A very detailed historical study on the Tait equation with the physical interpretation of the two parameters A {\displaystyle A} and Π ...
Cavendish found that the Earth's density was 5.448 ± 0.033 times that of water (although due to a simple arithmetic error, found in 1821 by Francis Baily, the erroneous value 5.480 ± 0.038 appears in his paper). [10] [11] The current accepted value is 5.514 g/cm 3.