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  • ...ac{\partial^2 P}{d x^2} = \left(\frac{\rho}{k}\right) \frac{\partial^2 P}{\partial t^2} </math> ...rtial^2 \rho}{d x^2} = \left(\frac{\rho}{k}\right) \frac{\partial^2 \rho}{\partial t^2} </math>
    454 bytes (64 words) - 11:20, 8 December 2017
  • ...-sectional area, <math>\mu </math> =viscosity, and <math>\Delta p </math> =pressure differential across the thickness <math>\Delta x </math> . For radial flow <center><math>q=(\frac{k}{\mu})2\pi r h (\frac{\partial p}{\partial r}) </math> ,</center>
    638 bytes (98 words) - 10:51, 10 March 2020
  • <center><math>\frac{\partial T}{\partial t} = \frac{k}{\rho c_p}\nabla^2 T </math>,</center> ...>\rho </math>=density, and ''c''<sub>''p''</sub>=specific heat at constant pressure. See Fowler (1990, 222&#x2013;223).
    938 bytes (138 words) - 09:52, 17 July 2017
  • ...2 \psi}{\partial z^2} =\left( \frac{1}{V^2}\right)\frac {\partial^2 \psi}{\partial t^2} </math>,</center> where <math>\psi</math> represents wave displacement (pressure, rotation, dilatation, etc.) and ''V'' the velocity of the wave. Functions
    2 KB (378 words) - 16:38, 27 September 2020
  • ...ured carbonate oil reservoir: Predrill prediction of instantaneous shut-in pressure gradients," [[Heloise B. Lynn]], [[Walter S. Lynn|Walter Lynn]], [[Justin O * 1995 "Seismic signatures of partial saturation," [[Rosemary J. Knight]], [[Jack P. Dvorkin]], and [[Amos Nur]]
    9 KB (1,146 words) - 01:26, 29 September 2019
  • ...ch core. The parent material for igneous rocks, called magma, is formed by partial melting that occurs at various levels within Earth’s crust and upper mant ...three factors or the combination of them, these factors are a decrease in pressure or addition of water or an increase in temperature.
    19 KB (2,870 words) - 23:23, 15 May 2020
  • Based on assumptions 1 and 2, the reflection coefficient ''c'' (for pressure or stress), which is associated with the boundary between, say, layers 1 an The characteristic pressure wave created by an impulsive source, such as dynamite or air gun, is called
    247 KB (37,353 words) - 10:59, 30 July 2014
  • For a vertically incident plane wave, the pressure amplitude reflection coefficient associated with an interface is given by {{NumBlk|:|<math>\frac{\partial L}{\partial f_i}=0,\quad i=0,1,2,\ldots,(n-1).</math>|{{EquationRef|B-50}}}}
    59 KB (9,331 words) - 17:26, 7 October 2014
  • ...-noise ratio while circumventing the nonhyperbolic moveout effect is to do partial stacking. By a simple series of tests, one can judge as to what portion of ...full-fold CMP-stacked section (top), the near-offset section (middle), and partial-fold CMP-stacked section (bottom) in which the nearest one-third of the cab
    210 KB (32,495 words) - 16:24, 5 September 2014
  • ...ac{\partial^2 P}{\partial z^2} = \frac{1}{v^2(x,y,z)} \frac{\partial^2 P}{\partial t^2}</math>|{{EquationRef|1}}}} ...is a mathematical statement of Huygen’s principle which states that the pressure disturbance at time ''t''+Δ''t'' is the superposition of the spherical wav
    10 KB (1,461 words) - 07:59, 2 October 2014
  • ...^2}+\frac{\partial^2P}{\partial z^2}-\frac{1}{v^2(x,z)}\frac{\partial^2P}{\partial t^2}=0,</math>|{{EquationRef|12}}}} ..., ''v'' is the velocity of wave propagation, and ''P''(''x, z, t'') is the pressure wavefield.
    12 KB (1,756 words) - 18:12, 7 October 2014
  • ...nNote|13b}}) adapted to the [[exploding reflectors]] model. Operate on the pressure wavefield ''P'' and inverse Fourier transform in ''z'' to obtain the differ {{NumBlk|:|<math>\frac{\partial}{\partial z}P(k_x,z,\omega)=-ik_zP(k_x,z,\omega),</math>|{{EquationRef|20}}}}
    9 KB (1,347 words) - 18:23, 7 October 2014
  • # Operate on the pressure wavefield ''P'' and inverse transform in ''z'' to obtain the differential e ...^2}+\frac{\partial^2P}{\partial z^2}-\frac{1}{v^2(x,z)}\frac{\partial^2P}{\partial t^2}=0,</math>|{{EquationRef|12}}
    8 KB (1,027 words) - 10:07, 15 May 2018
  • ...ensities, and rock physics parameters such as porosity, permeability, pore pressure, and fluid saturation. When populated by the petrophysical parameters, the ...al L}{\partial a_0} = \frac{\partial L}{\partial a_1} = \frac{\partial L}{\partial a_2} = 0.</math>|{{EquationRef|J-63}}}}
    278 KB (43,816 words) - 14:40, 10 September 2014
  • ...r rocks. The petrophysical properties include porosity, permeability, pore pressure, and fluid saturation. Specifically, we shall discuss prestack amplitude in ...sical properties of the reservoir rocks, such as fluid saturation and pore pressure. Specifically, such changes may be related to changes in the seismic amplit
    395 KB (60,721 words) - 14:42, 10 September 2014
  • ...\frac{\partial^2}{\partial z^2} - \frac{1}{v^2(x,y,z)} \frac{\partial^2}{\partial t^2}\right] P (x,y,z;t) = 0</math>|{{EquationRef|H-1}}}} ...ium with velocity ''v''(''x, y, z''). Huygen’s principle states that the pressure disturbance at time ''t'' + Δ''t'' is the superposition of the spherical w
    30 KB (4,912 words) - 11:53, 11 December 2019
  • ...ure (the negative sign signifies the compressive nature of the hydrostatic pressure), and ''P<sub>xy</sub>'' = ''P<sub>xz</sub>'' = ''P<sub>yz</sub>'' = 0. \partial u/\partial x&\partial u/\partial y & \partial u/\partial z\\
    84 KB (13,083 words) - 11:58, 12 September 2020
  • *[[Partial Differential Equations]] **[[Pressure maintenance]]
    4 KB (414 words) - 23:52, 25 December 2020
  • ...rho\frac{\partial^2 u_{i} }{\partial t^2} = \frac{\partial \sigma _{ji} }{\partial x_{j} } </math></center> ...\tfrac{1}{2}(\frac{\partial u_{i}}{\partial x_{j}} +\frac{\partial u_{j}}{\partial x_{i}})</math></center>
    39 KB (5,997 words) - 14:03, 11 September 2020
  • Below is a partial list of current and former student member publications: * [http://library.seg.org/doi/abs/10.1190/geo2012-0459.1 Modeling the pressure sensitivity of uncemented sediments using a modified grain contact theory:
    4 KB (544 words) - 09:30, 28 October 2020

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