A novel completely explicit algorithm to solve dynamic -p equations of saturated soil

2021 ◽  
Vol 141 ◽  
pp. 106452
Author(s):  
Chengshun Xu ◽  
Chaoqun Feng ◽  
Jia Song ◽  
Xiuli Du ◽  
Mi Zhao

1951 ◽  
Vol 6 (3-4) ◽  
pp. 176-178
Author(s):  
S. ITO ◽  
M. KUSAKABE


Author(s):  
J. L. Mroginski ◽  
H. G. Castro ◽  
J. M. Podestá ◽  
P. A. Beneyto ◽  
A. R. Anonis


2021 ◽  
pp. 117297
Author(s):  
Annesh Borthakur ◽  
Brian K. Cranmer ◽  
Gregory P. Dooley ◽  
Jens Blotevogel ◽  
Shaily Mahendra ◽  
...  


2020 ◽  
Vol 8 ◽  
Author(s):  
Takayuki Kihara

Abstract In [12], John Stillwell wrote, ‘finding the exact strength of the Brouwer invariance theorems seems to me one of the most interesting open problems in reverse mathematics.’ In this article, we solve Stillwell’s problem by showing that (some forms of) the Brouwer invariance theorems are equivalent to the weak König’s lemma over the base system ${\sf RCA}_0$ . In particular, there exists an explicit algorithm which, whenever the weak König’s lemma is false, constructs a topological embedding of $\mathbb {R}^4$ into $\mathbb {R}^3$ .



Author(s):  
Fumiaki Nagashima ◽  
Hiroshi Kawase

Summary P-wave velocity (Vp) is an important parameter for constructing seismic velocity models of the subsurface structures by using microtremors and earthquake ground motions or any other geophysical exploration data. In order to reflect the ground survey information in Japan to the Vp structure, we investigated the relationships among Vs, Vp, and depth by using PS-logging data at all K-NET and KiK-net sites. Vp values are concentrated at around 500 m/s and 1,500 m/s when Vs is lower than 1,000 m/s, where these concentrated areas show two distinctive characteristics of unsaturated and saturated soil, respectively. Many Vp values in the layer shallower than 4 m are around 500 m/s, which suggests the dominance of unsaturated soil, while many Vp values in the layer deeper than 4 m are larger than 1,500 m/s, which suggests the dominance of saturated soil there. We also investigated those relationships for different soil types at K-NET sites. Although each soil type has its own depth range, all soil types show similar relationships among Vs, Vp, and depth. Then, considering the depth profile of Vp, we divided the dataset into two by the depth, which is shallower or deeper than 4 m, and calculated the geometrical mean of Vp and the geometrical standard deviation in every Vs bins of 200 m/s. Finally, we obtained the regression curves for the average and standard deviation of Vp estimated from Vs to get the Vp conversion functions from Vs, which can be applied to a wide Vs range. We also obtained the regression curves for two datasets with Vp lower and higher than 1,200 m/s. These regression curves can be applied when the groundwater level is known. In addition, we obtained the regression curves for density from Vs or Vp. An example of the application for those relationships in the velocity inversion is shown.



2021 ◽  
Vol 136 ◽  
pp. 104211
Author(s):  
Song Xu ◽  
L.H. Tong ◽  
Changjie Xu ◽  
Haibin Ding


2021 ◽  
Vol 131 ◽  
pp. 103942
Author(s):  
Chunyi Cui ◽  
Kun Meng ◽  
Chengshun Xu ◽  
Zhimeng Liang ◽  
Haijiang Li ◽  
...  


PAMM ◽  
2009 ◽  
Vol 9 (1) ◽  
pp. 215-216 ◽  
Author(s):  
Felix Nagel ◽  
Janosch Stascheit ◽  
Günther Meschke


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