GRAVITY APPROXIMATION AND INTERPRETATION OF A TWO‐DIMENSIONAL VERTICAL FAULT

Geophysics ◽  
1977 ◽  
Vol 42 (7) ◽  
pp. 1462-1467 ◽  
Author(s):  
Jay Gopal Saha

The error in depth determination due to the thin plate approximation of a two‐dimensional vertical fault is investigated by the maximum slope method and the traditional [Formula: see text] method. We show here that although the gravity curves for thin and thick faults are not greatly different, faults with large throws have significant percentage errors in the depth to the central plane which warrant attention in precision interpretation. When the ratio of the throw of the fault to its mid‐depth varies from 1.5 to 1.9, the percentage error in depth increases from 10 to more than 16 percent. The maximum slope method for determination of depth gives larger percentage errors compared to [Formula: see text] measures. When the fault throw is large, a gradient method may be used to find the principal parameters of a two‐dimensional vertical fault. The method is theoretically free from any ambiguity and has other advantages which may facilitate precise interpretation. The thin plate approximation should be avoided in such cases.

1968 ◽  
Vol 90 (1) ◽  
pp. 130-134 ◽  
Author(s):  
G. F. Kohlmayr

Locke’s maximum slope method for the reduction of transient heat transfer test data is extended to include arbitrary upstream fluid temperature changes. The analytical solution of the single-blow problem is used to evaluate maximum slopes which are shown to depend, in general, nonmonotonically on the number of transfer units, Ntu. It is shown that there is a critical number of transfer units, (Ntu)crit, such that, for Ntu > (Ntu)crit, the maximum slope method remains applicable. In illustration of the analysis, maximum slopes and maximum slope errors are presented for various upstream temperature changes deviating from the step change.


1984 ◽  
Vol 19 (1) ◽  
pp. 23-34 ◽  
Author(s):  
Y Phang ◽  
C Ruiz

Various methods for the determination of stress intensity factors from photoelastic data obtained from models containing narrow slits, are compared by reference to the case of a wide plate with a central crack. The linear slope method is applied to a number of two-dimensional problems when cracks interact with free surfaces or with other cracks.


2019 ◽  
Vol 128 ◽  
pp. 04011
Author(s):  
Dijin J S ◽  
Rajkumar M R ◽  
Anjan R Nair

It has been well documented in many literature that porous media and nanofluid can augment heat transfer in many engineering system. However the combined usage of these two media has not been given much attention in literature. The objective of the present work is to experimentally investigate porous media heat exchanger using Al2O3/water nanofluids. The heat transfer characteristics is determined using transient testing method wherein, only one fluid stream flows steadily throughthe test core, then a transient perturbation in the inlet fluid temperature is induced and the outletfluid temperature variation is measured continuously. The measured data is evaluated using the maximum slope method to obtain the heat transfer characteristics. The results show an increase in Nusselt number values with the use of nanofluids in porous media heat exchanger compared to water


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