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Geomathematics (also: mathematical geosciences, mathematical geology, mathematical geophysics) is the application of mathematical methods to solve problems in geosciences, including geology and geophysics, and particularly geodynamics and seismology.
Geographical distance or geodetic distance is the distance measured along the surface of the Earth, or the shortest arch length.. The formulae in this article calculate distances between points which are defined by geographical coordinates in terms of latitude and longitude.
where is bulk density given in g/cm 3, is P-wave velocity given in ft/s, and and are empirically derived constants that depend on the geology. Gardner et al. proposed that one can obtain a good fit by taking α = 0.23 {\displaystyle \alpha =0.23} and β = 0.25 {\displaystyle \beta =0.25} . [ 1 ]
The Universal Soil Loss Equation (USLE) is a widely used mathematical model that describes soil erosion processes. [1]Erosion models play critical roles in soil and water resource conservation and nonpoint source pollution assessments, including: sediment load assessment and inventory, conservation planning and design for sediment control, and for the advancement of scientific understanding.
In geology, numerical modeling is a widely applied technique to tackle complex geological problems by computational simulation of geological scenarios. Numerical modeling uses mathematical models to describe the physical conditions of geological scenarios using numbers and equations. [ 2 ]
Because their formula works with only two fractions simultaneously, they define the critical shear stress for each of the two grain size classes, , where represents either the sand (s) or gravel (g) fraction. The critical shear stress that represents the incipient motion for each of the two fractions is consistent with established values in the ...
Mathematical Geosciences (formerly Mathematical Geology) is a scientific journal published semi-quarterly by Springer Science+Business Media on behalf of the International Association for Mathematical Geosciences. [1] It contains original papers in mathematical geosciences.
In cases where Birch's law was applied beyond the transition zone, parts of the formula need to be revised. For higher pressure regimes, different laws may be needed to determine wave velocities. For higher pressure regimes, different laws may be needed to determine wave velocities.
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