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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
  • 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
  • ...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
  • ...\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
  • ...mic Data Processing, associated video tapes and publications in [[prestack partial migration]], [[multiple suppression]], [[velocity analysis]], [[statics and ...ion deviates significantly from standard diffusion and becomes more like a pressure front.”
    7 KB (1,017 words) - 12:28, 24 February 2022
  • <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).
    824 bytes (122 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 (328 words) - 10:28, 17 October 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>
    559 bytes (86 words) - 10:51, 10 March 2020
  • ...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>
    362 bytes (52 words) - 16:38, 29 December 2017
  • ...k; also related to the mineralogy, porosity, pore fluids, temperature, and pressure.<ref name=":5">Hart, B., 2011, An Introduction to Seismic Interpretation: A ...saturation gas filled reservoir from fizz gas, a reservoir which contains partial gas saturation.
    14 KB (2,046 words) - 11:21, 28 December 2020
  • ...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>
    362 bytes (52 words) - 10:04, 26 March 2018
  • # 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}}
    7 KB (959 words) - 18:47, 15 May 2018
  • ...in sedimentary rocks. It is the initial form of hydrocarbons, but heat and pressure cause a portion of the kerogen to be converted into a soluble form, bitumen ...d TOC% found in organic-rich shales tend to be highly anisotropic due to a partial alignment of already anisotropic clay minerals and bedding-parallel laminat
    10 KB (1,526 words) - 19:01, 30 November 2018
  • ...quad} {\mathrm{\varepsilon}} _{zz} =\frac{{\mathrm{\partial}} w}{{\mathrm{\partial}} z}. ...artial}} v}{{\mathrm{\partial}} x} +\frac{{\mathrm{\partial}} u}{{\mathrm{\partial}} y},{\quad} \hbox{and so on for }{\mathrm{\varepsilon}} _{yz}\hbox{ and }{
    10 KB (1,327 words) - 12:17, 14 February 2019
  • ...no longer escape. If it is at a depth of 2.00 km, what velocity and fluid pressure would you expect? If at a depth of 3.00 km? ...gradient due to the rock overburden is about 22.5 MPa/km. The differential pressure gradient is therefore approximately 12 MPa/km.
    6 KB (815 words) - 14:30, 4 March 2019
  • ...a variable range of depth from 7,100 to 11,000 ft<ref name=platin />. High pressure zones are developed in this zone which creates risks in drilling activities ...ured depth can be detected since we can see from this figure that the over-pressure zone will not fit the trend line.]]
    12 KB (1,862 words) - 13:32, 25 November 2019