# Difference between revisions of "Dictionary:Dar Zarrouk"

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(dar zar ruk') The name given by Maillet to resistivity parameters or curves that deal with layered anisotropic materials. The '''dar Zarrouk variable''' is the '''transversal unit resistance''' (<math>\rho_{T}</math>), the depth integral of the transverse resistivity perpendicular to the strata; the '''dar Zarrouk function''' is the [[Dictionary:longitudinal unit conductance|longitudinal unit conductance]] (<math>\frac{1}{\rho_{L}}</math>), the depth integral of the conductivity parallel to the strata; and the '''dar Zarrouk curve''' is a plot of the mean resistivity (<math>\rho_{T}</math>) of the formation down to the depth ''z'', plotted versus the anisotropy coefficient times <math>z (\rho_{T}\rho_{L})^{1/2}</math>: | (dar zar ruk') The name given by Maillet to resistivity parameters or curves that deal with layered anisotropic materials. The '''dar Zarrouk variable''' is the '''transversal unit resistance''' (<math>\rho_{T}</math>), the depth integral of the transverse resistivity perpendicular to the strata; the '''dar Zarrouk function''' is the [[Dictionary:longitudinal unit conductance|longitudinal unit conductance]] (<math>\frac{1}{\rho_{L}}</math>), the depth integral of the conductivity parallel to the strata; and the '''dar Zarrouk curve''' is a plot of the mean resistivity (<math>\rho_{T}</math>) of the formation down to the depth ''z'', plotted versus the anisotropy coefficient times <math>z (\rho_{T}\rho_{L})^{1/2}</math>: | ||

− | <center> | + | <center><math>\rho _{T} = \sum \rho _{i} z_{i} \ \text{and} \ \frac{1}{\rho_{L}} = \sum \frac{z_{i}}{\rho_{i}}</math></center> |

where <math>z_{i}</math> are layer thicknesses.<ref>Maillet, R., 1947, The fundamental equations of electrical prospecting: Geophysics, 12, 529–556.</ref> | where <math>z_{i}</math> are layer thicknesses.<ref>Maillet, R., 1947, The fundamental equations of electrical prospecting: Geophysics, 12, 529–556.</ref> |

## Revision as of 17:44, 20 January 2015

(dar zar ruk') The name given by Maillet to resistivity parameters or curves that deal with layered anisotropic materials. The **dar Zarrouk variable** is the **transversal unit resistance** (), the depth integral of the transverse resistivity perpendicular to the strata; the **dar Zarrouk function** is the longitudinal unit conductance (), the depth integral of the conductivity parallel to the strata; and the **dar Zarrouk curve** is a plot of the mean resistivity () of the formation down to the depth *z*, plotted versus the anisotropy coefficient times :

where are layer thicknesses.^{[1]}

## References

- ↑ Maillet, R., 1947, The fundamental equations of electrical prospecting: Geophysics, 12, 529–556.