Prediction of Longwall Progressive Subsidence Basin Using the Gompertz Time Function

Author(s):  
Jian Wang ◽  
Keming Yang ◽  
Xiangping Wei ◽  
Xiaoyu Shi ◽  
Shuyi Yao
2011 ◽  
Vol 422 ◽  
pp. 318-321 ◽  
Author(s):  
Hao Liang Han ◽  
Bo Cui

Base on Knothe time function, a new time function was proposed by adding parameter which is approved more accurate in predicting surface subsidence than Knothe funciton. Combing this new time function with section function of surface subsidence basin, a dynamic model is proposed to predict surface subsidence induced by underground mining and a case study based on this model was carried out. The results illustrates this model is more accurate to reflect the dynamic process of surface subsidence


2011 ◽  
Vol 382 ◽  
pp. 323-327 ◽  
Author(s):  
Hao Liang Han ◽  
Nai Lian Hu ◽  
Bo Cui

A new time function was proposed to cover the disadvantage of knothe time function in predicting surface subsidence by adding parameter k. The velocity and acceleration of the progressive surface subsidence obtained from this new time function were compared with actual subsidence data from an iron mine in China. Combining this new time function with section function of surface subsidence basin, a dynamic mode was proposed to predict surface subsidence induced by underground mining and a case study based on this model was carried out. It shows that this model accurately represents the actual subsidence pattern observed. Instruction


1997 ◽  
Vol 62 (10) ◽  
pp. 1511-1526
Author(s):  
María-Luisa Alcaraz ◽  
Ángela Molina

A theoretical study of the potential-time response to sinusoidal current applied to static and dynamic electrodes for regeneration processes is presented. Methods for determination of the regeneration fraction, rate constant of the chemical reaction and heterogeneous kinetic parameters are proposed.


Author(s):  
T. M. Rudavsky

Of the many philosophical perplexities facing medieval Jewish thinkers, perhaps none has challenged religious belief as much as God’s creation of the world. No Jewish philosopher denied the importance of creation, that the world had a beginning (bereshit). But like their Christian and Muslim counterparts, Jewish thinkers did not always agree upon what qualifies as an acceptable model of creation. Chapter 6 is devoted to attempts of Jewish philosophers to reconcile the biblical view of creation with Greek and Islamic philosophy. By understanding the notion of creation and how an eternal, timeless creator created a temporal universe, we may begin to understand how the notions of eternity, emanation, and the infinite divisibility of time function within the context of Jewish philosophical theories of creation.


2015 ◽  
Vol 12 (08) ◽  
pp. 1560027 ◽  
Author(s):  
Albert Fathi

In this paper we revisit our joint work with Antonio Siconolfi on time functions. We will give a brief introduction to the subject. We will then show how to construct a Lipschitz time function in a simplified setting. We will end with a new result showing that the Aubry set is not an artifact of our proof of existence of time functions for stably causal manifolds.


2013 ◽  
Vol 5 (2) ◽  
pp. 1125-1162 ◽  
Author(s):  
S. C. Stähler ◽  
K. Sigloch

Abstract. Seismic source inversion is a non-linear problem in seismology where not just the earthquake parameters themselves, but also estimates of their uncertainties are of great practical importance. Probabilistic source inversion (Bayesian inference) is very adapted to this challenge, provided that the parameter space can be chosen small enough to make Bayesian sampling computationally feasible. We propose a framework for PRobabilistic Inference of Source Mechanisms (PRISM) that parameterises and samples earthquake depth, moment tensor, and source time function efficiently by using information from previous non-Bayesian inversions. The source time function is expressed as a weighted sum of a small number of empirical orthogonal functions, which were derived from a catalogue of >1000 STFs by a principal component analysis. We use a likelihood model based on the cross-correlation misfit between observed and predicted waveforms. The resulting ensemble of solutions provides full uncertainty and covariance information for the source parameters, and permits to propagate these source uncertainties into travel time estimates used for seismic tomography. The computational effort is such that routine, global estimation of earthquake mechanisms and source time functions from teleseismic broadband waveforms is feasible.


1995 ◽  
Vol 29 (5) ◽  
pp. 230 ◽  
Author(s):  
Liana L. Fong ◽  
Mark S. Squillante
Keyword(s):  

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