Faults and matrix deformations in chalk: contribution of porosity and sonic wave velocity measurements

2006 ◽  
Vol 177 (4) ◽  
pp. 203-213 ◽  
Author(s):  
Christian Schroeder ◽  
Patrick Gaviglio ◽  
Françoise Bergerat ◽  
Sara Vandycke ◽  
Michel Coulon

Abstract Measurements of sonic wave velocity and of porosity have been carried out on the Campanian so-called “craie blanche” (white chalk) of the Mons Basin. They have been made on cores collected perpendicular to normal fault planes, at different distances, between 0 (fault plane) and 30 cm. The applications of the continuity index, deduced from the sonic velocity, to these measurements allow us to estimate the amount of microcracking. A new evaluation of the used coefficients, after the physical characteristics of the intact material, has been necessary. The systematic comparison of the values of both velocity and porosity highlight the matrix transformations (decreasing of porosity by calcitic cementation) in a narrow band of about 10 cm on both sides of the fault planes. Depending on the stratigraphic level, the porosity of the intact chalk ranges between 40 and 44% and the sonic wave velocity between 2300 and 2600 m/s. Close to the fault planes, the porosity is about 30 to 35% and the sonic wave velocity about 2700 to 2900 m/s. Along the fault planes, the rock material has an anisotropic behaviour, due to both vertical tectonic microcracking and calcitic barriers resulting from cementation.

Mathematics ◽  
2018 ◽  
Vol 6 (11) ◽  
pp. 268 ◽  
Author(s):  
Kuddusi Kayaduman ◽  
Fevzi Yaşar

In 1978, the domain of the Nörlund matrix on the classical sequence spaces lp and l∞ was introduced by Wang, where 1 ≤ p < ∞. Tuğ and Başar studied the matrix domain of Nörlund mean on the sequence spaces f0 and f in 2016. Additionally, Tuğ defined and investigated a new sequence space as the domain of the Nörlund matrix on the space of bounded variation sequences in 2017. In this article, we defined new space and and examined the domain of the Nörlund mean on the bs and cs, which are bounded and convergent series, respectively. We also examined their inclusion relations. We defined the norms over them and investigated whether these new spaces provide conditions of Banach space. Finally, we determined their α­, β­, γ­duals, and characterized their matrix transformations on this space and into this space.


2013 ◽  
Vol 405-408 ◽  
pp. 470-473
Author(s):  
Sheng Jie Di ◽  
Ming Yuan Wang ◽  
Zhi Gang Shan ◽  
Hai Bo Jia

A procedure for evaluating liquefaction resistance of soils based on the shear wave velocity measurements is outlined in the paper. The procedure follows the general formal of the Seed-Idriss simplified procedure. In addition, it was developed following suggestions from industry, researchers, and practitioners. The procedure correctly predicts moderate to high liquefaction potential for over 95% of the liquefaction case histories. The case study for the site of offshore wind farm in Jiangsu province is provided to illustrate the application of the proposed procedure. The feature of the soils and the shear wave velocity in-situ tested in site are discussed and the liquefaction potential of the layer is evaluated. The application shows that the layers of the non-cohesive soils in the depths 3-11m may be liquefiable according to the procedure.


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