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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Gassmann's equation ： ウィキペディア英語版 Gassmann's equation The Gassmann equation is used in geophysics and its relations are receiving more attention as seismic data are increasingly used for reservoir monitoring. The Gassmann equation is the most common way of performing a fluid substitution model from one known parameter. ==Procedure== These formulations are from Avseth ''et al.'' (2006).〔Avseth, P, T Mukerji & G Mavko (2006), Quantitative seismic interpretation, Cambridge University Press, 2006.〕 Given an initial set of velocities and densities, $V\_^$, $V\_^$, and $\backslash rho\; ^$ corresponding to a rock with an initial set of fluids, you can compute the velocities and densities of the rock with another set of fluid. Often these velocities are measured from well logs, but might also come from a theoretical model. Step 1: Extract the dynamic bulk and shear moduli from $V\_\backslash mathrm^$, $V\_\backslash mathrm^$, and $\backslash rho\; ^$: :$K\_\backslash mathrm^\; =\; \backslash rho\; \backslash left\; ((V\_\backslash mathrm^)^-\backslash frac(V\_\backslash mathrm^)^\; \backslash right)$ :$\backslash mu\_\backslash mathrm^\; =\; \backslash rho\; (V\_\backslash mathrm^)^$ Step 2: Apply Gassmann's relation, of the following form, to transform the saturated bulk modulus: :$\backslash frac\}^\}-\backslash frac\}^)\}=\backslash frac\}^\}-\backslash frac\}^)\}$ where $K\_\backslash mathrm^$ and $K\_\backslash mathrm^$ are the rock bulk moduli saturated with fluid 1 and fluid 2, and $K\_\backslash mathrm^$ and $K\_\backslash mathrm^$ are the bulk moduli of the fluids themselves. Step 3: Leave the shear modulus unchanged (rigidity is independent of fluid type): :$\backslash mu\_\backslash mathrm^=\backslash mu\_\backslash mathrm^$ Step 4: Correct the bulk density for the change in fluid: :$\backslash rho^=\; \backslash rho^+\backslash phi\; (\backslash rho\_\backslash mathrm^\; -\backslash rho\_\backslash mathrm^)$ Step 5: recompute the fluid substituted velocities :$V\_\backslash mathrm^=\backslash sqrt\; \backslash frac+\backslash frac\; \backslash mu\_\backslash mathrm^\}^\; =\; \backslash sqrt\; \backslash frac\}\{\backslash rho^\{(2)\}\}$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Gassmann's equation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.