This article has multiple issues. Please help improve it or discuss these issues on the talk page. (Learn how and when to remove these template messages)
This article may be confusing or unclear to readers. Please help clarify the article. There might be a discussion about this on the talk page.(April 2013) (Learn how and when to remove this message)
The topic of this article may not meet Wikipedia's general notability guideline. Please help to demonstrate the notability of the topic by citing reliable secondary sources that are independent of the topic and provide significant coverage of it beyond a mere trivial mention. If notability cannot be shown, the article is likely to be merged, redirected, or deleted. Find sources: "Mathematical Q models" – news · newspapers · books · scholar · JSTOR(April 2013) (Learn how and when to remove this message)
This article may be too technical for most readers to understand. Please help improve it to make it understandable to non-experts, without removing the technical details.(April 2013) (Learn how and when to remove this message)
(Learn how and when to remove this message)
Mathematical Q models provide a model of the earth's response to seismic waves. In reflection seismology, the anelastic attenuation factor, often expressed as seismic quality factor or Q, which is inversely proportional to attenuation factor, quantifies the effects of anelastic attenuation on the seismic wavelet caused by fluid movement and grain boundary friction. When a plane wave propagates through a homogeneous viscoelastic medium, the effects of amplitude attenuation and velocity dispersion may be combined conveniently into the single dimensionless parameter, Q. As a seismic wave propagates through a medium, the elastic energy associated with the wave is gradually absorbed by the medium, eventually ending up as heat energy. This is known as absorption (or anelastic attenuation) and will eventually cause the total disappearance of the seismic wave.[1]
The frequency-dependent attenuation of seismic waves leads to decreased resolution of seismic images with depth. Transmission losses may also occur due to friction or fluid movement, and for a given physical mechanism, they can be conveniently described with an empirical formulation where elastic moduli and propagation velocity are complex functions of frequency. Bjørn Ursin and Tommy Toverud [2] published an article where they compared different Q models.
MathematicalQmodels provide a model of the earth's response to seismic waves. In reflection seismology, the anelastic attenuation factor, often expressed...
of developing a mathematical model is termed mathematicalmodeling. Mathematicalmodels are used in applied mathematics and in the natural sciences (such...
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling...
Mathematicalmodels can project how infectious diseases progress to show the likely outcome of an epidemic (including in plants) and help inform public...
The Azimi Qmodels used MathematicalQmodels to explain how the earth responds to seismic waves. Because these models satisfies the Krämers-Krönig relations...
The Kjartansson constant Qmodel uses mathematicalQmodels to explain how the earth responds to seismic waves and is widely used in seismic geophysical...
sentences in a formal language expressing statements about a mathematical structure), and their models (those structures in which the statements of the theory...
The newsvendor (or newsboy or single-period or salvageable) model is a mathematicalmodel in operations management and applied economics used to determine...
(2008), The theoretical background for mathematicalQmodels can be found in the Wikipedia article: MathematicalQmodels. Here we found a function K(w) we...
as opposed to black box where no model form is assumed or white box models that are purely theoretical. Some models assume a special form such as a linear...
A standard linear solid Qmodel (SLS) for attenuation and dispersion is one of many mathematicalQmodels that gives a definition of how the earth responds...
diffusion models, also known as diffusion probabilistic models or score-based generative models, are a class of latent variable generative models. A diffusion...
solved. Mathematics portal List of mathematical jargon Lists of mathematicians Lists of mathematics topics Mathematical constant Mathematical sciences...
A mathematical symbol is a figure or a combination of figures that is used to represent a mathematical object, an action on mathematical objects, a relation...
Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economics. Often, these applied methods...
that Q(n) cannot be true for any n. The validity of this method can be verified from the usual principle of mathematical induction. Using mathematical induction...
Decline), The Bass model focuses on the first two (Introduction and Growth). Some of the Bass-Model extensions present mathematicalmodels for the last two...
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection...
This article describes the mathematics of the Standard Model of particle physics, a gauge quantum field theory containing the internal symmetries of the...
hydrologic models. Prior to the advent of computer models, hydrologic modeling used analog models to simulate flow and transport systems. Unlike mathematical models...
Numerical climate models (or climate system models) are mathematicalmodels that can simulate the interactions of important drivers of climate. These...
Global Information
