Spontaneous combustion influenced by surface methane drainage and its prediction by rescaled range analysis

This study established numerical modeling using COMSOLTMto examine the influence of horizontal location and drainage ability of surface borehole on spontaneous combustion in longwall working face gob. Rescaled Range Analysis(R/S analysis) was employed to investigate the chaos characteristic of N_2/O_2 ratio from a surface borehole in 10416 working face gob, Yangliu Colliery, China. The simulation results show that there is always a circular ‘‘dissipation zone" around the drainage borehole and an elliptic ‘‘spontaneous combustion zone" in deep gob. Little influence was found on spontaneous combustion zone on the intake side of the gob but the width of spontaneous combustion zone in middle gob is enlarged, while the depth of spontaneous combustion zone near the return side is reduced. The R/S analysis indicates that the influence of surface borehole on spontaneous combustion can be divided into two stages by the chaos feature of N_2/O_2: safety drainage stage and spontaneous combustion initiating stage. It can be concluded that the methane drainage from gob through surface borehole can intervene in the distribution of spontaneous combustion zone in gob and the chaos feature of N_2/O_2 from surface borehole can effectively reflect coal spontaneous combustion condition in gob.

Comparison of performance between rescaled range analysis and rescaled variance analysis in detecting abrupt dynamic change

In the present paper, a comparison of the performance between moving cutting data-rescaled range analysis （MC- R/S） and moving cutting data-rescaled variance analysis （MC-V/S） is made. The results clearly indicate that the operating efficiency of the MC-R/S algorithm is higher than that of the MC-V/S algorithm. In our numerical test, the computer time consumed by MC-V/S is approximately 25 times that by MC-R/S for an identical window size in artificial data. Except for the difference in operating efficiency, there are no significant differences in performance between MC-R/S and MC-V/S for the abrupt dynamic change detection. Mc-R/s and MC-V/S both display some degree of anti-noise ability. However, it is important to consider the influences of strong noise on the detection results of MC-R/S and MC-V/S in practical application

An rescaled range analysis on the characteristics of coal seam development in the Eastern depression of the Liaohe Basin

煤缝接开发的特征，和一个有利形成煤的区域的前景，为位于中国的 Liaohe 盆被评估。将近同等地， spaced 在 Liaohe 盆的东方消沉厌烦的从 60 的第 3 期和第 9 期煤缝接厚度系列被重新可伸缩的范围分析检验。结果显示第 3 期和第 9 期煤缝接厚度系列的林中小丘代表分别地是 0.69 和 0.68。这建议坚持的存在。当讨厌的人间距增加数字的林中小丘代表， 3 系列逐渐地减少(从 0.69 ～ 0.52 的 H 变化) 并且从坚持的移动到随意。9 厚度数据逐渐地增加的数字(从 0.68 ～ 0.91 的 H 变化) 并且总是的林中小丘代表显示出坚持的特征。地质的特征和系列数据的联合允许第 9 期煤缝接比数字在东方消沉的东北部分形成是更合适的结论 3 煤缝接。

R/S AND WAVELET ANALYSIS ON EVOLUTIONARYPROCESS OF REGIONAL ECONOMIC DISPARITY IN CHINA DURING PAST 50 YEARS

This paper shows the dynamic process of regional disparity of economic development in China in the past 50 years from a new insight by using the rescaled range statistic (R/S) analysis and wavelet analysis of the Theil index sequence with different time scales. The main conclusions are: 1) The regional disparity of economic development in China, including the inter-provincial disparity, inter-regional disparity and intra-regional disparity, has existed for many years. Theil index by the comparative price has revealed the true trend for comparative disparity of regional economic development from 1952 to 2000. 2) Decomposition of Theil index indicates that the dynamic trend of comparative inter-provincial disparity in the coastal region is in line with dynamic trend of inter-provincial disparity in the whole China. 3) The R/S analysis results tell us that during 1966-1978, the Hurst exponent H=0.504≈0.5, which indicates that in that period the evolution of comparative inter-provincial disparity of economic development showed a random characteristic, and in the other periods, i.e. 1952-1965, 1979-1990 and 1991-2000, the Hurst exponent H>0.5, which indicates that in those periods the evolution of the comparative inter-provincial disparity of economic development in China had a long-enduring characteristic. 4) By using wavelet analysis at different time scale, we arrived at a conclusion that the evolutionary process of the disparity of economic development of China is not a simple inverted U shape but a compound of several U shapes. The result tells us that the evolutionary plot of inter-provincial disparity in China follows the inverted U on the whole at the higher scale, 24(16 years). That is to say, the disparity tends to rise in the first stage of economic development, and fall slowly over the peak in the second stage of economic development. However, if we shorten the time scale to 23 (8 years), then a link of several U shapes will appear.

Fractal Method for Statistical Analysis Geological Data

This paper establishes the phase space in the light of spacial series data , discusses the fractal structure of geological data in terms of correlated functions and studies the chaos of these data . In addition , it introduces the R/S analysis for time series analysis into spacial series to calculate the structural fractal dimensions of ranges and standard deviation for spacial series data -and to establish the fractal dimension matrix and the procedures in plotting the fractal dimension anomaly diagram with vector distances of fractal dimension . At last , it has examples of its application .

R/S Analysis and its Application in the Forecast of Mine Inflows

In this paper, the status quo and modeling principles of R/S analysis of non-linear theory are introduced and reviewed. Given the hydro-geological conditions of the Wutongzhuang coal mine, Hurst exponents of mine inflow for the main shaft, venti- lating shaft and auxiliary shaft were obtained using R/S analysis, which are 0.772 0, 0.824 7 and 0.905 1 respectively. Since all of the three Hurst exponents are larger than 0.5, it can be concluded that the trend of mine inflow are a long-term as well as persistent problem. Based on the level of duration, the shafts can be listed in decreasing order as the auxiliary shaft, the ventilation shaft and the main shaft, which appears identical with the actual situation of the mine inflow. With R/S analysis, a new method for long-term forecasting of mine inflows is provided.

Multi-scale and multi-fractal analysis of pressure fluctuation in slurry bubble column bed reactor

The Daubechies second order wavelet was applied to decompose pressure fluctuation signals with the gas flux varying from 0.18 to 0.90 m3/h and the solid mass fraction from 0 to 20% and scales 1?9 detail signals and the 9th scale approximation signals. The pressure signals were studied by multi-scale and R/S analysis method. Hurst analysis method was applied to analyze multi-fractal characteristics of different scale signals. The results show that the characteristics of mono-fractal under scale 1 and scale 2, and bi-fractal under scale 3?9 are effective in deducing the hydrodynamics in slurry bubbling flow system. The measured pressure signals are decomposed to micro-scale signals, meso-scale signals and macro-scale signals. Micro-scale and macro-scale signals are of mono-fractal characteristics, and meso-scale signals are of bi-fractal characteristics. By analyzing energy distribution of different scale signals,it is shown that pressure fluctuations mainly reflects meso-scale interaction between the particles and the bubble.

Quantitative analysis of 3D vasculature for evaluation of angiogenesis in liver fibrosis with SR-μCT

The micro-CT imaging of vasculature is a powerful tool for evaluation of angiogenesis,a prominent characteristic of hepatic fibrosis.The segment or bifurcation density,which is usually adopted to evaluate the degree of hepatic fibrosis,does not always work and may lead to incorrect assessment,especially when the threedimensional vasculature obtained is imperfect in sample preparation or image collection.In this paper,we propose a new parameter to solve this problem.The experimental results demonstrate that the method is robust and reliable,and is practical for angiogenesis evaluation,despite of image data imperfections.This quantitative analysis method can be extended to investigate other kinds of diseases in which vasculature change is a key indicator.

基于NAR神经网络和R/S分析法的隧道围岩变形预测分析

为研究隧道围岩变形非线性特点,采用NAR神经网络和R/S分析法,对隧道围岩变形量和变形趋势进行分析。通过NAR神经网络对变形监测样本进行误差分析,认为NAR神经网络对围岩变形短期预测时的误差小精度高。运用R/S分析法对各变形时间序列进行重标极差分析,获得各时序的Hurst指数,分析其与围岩变形趋势的关系,并通过Hurst指数对隧道围岩变形趋势进行判定。结果表明:算例中的断面围岩变形仍然会呈增长趋势,但增长幅度在减小,且水平收敛的趋势性强于拱顶沉降,说明前者受随机扰动影响较小,后期稳定性相对更高。通过运用R/S分析法进行时间序列分析,不仅为围岩变形趋势预判提供了Hurst指数判据,同时也为围岩稳定性分析及治理提供了一种依据。

Long-range Dependence Characteristics of Forest Biological Disasters in China against the Background of Climate Change

Forest biological disasters(FBD) seriously impact energy flow and material cycling in forest ecosystems,while the underlying causes of FBD are complex. These disasters involve large areas and cause tremendous losses. As a result,the occurrence of FBDs in China( CFBD) threatens the country's ability to realize its strategic target of increasing both forested area(40 million ha) and forest volume(1.3 billion m^3) from 2005 to 2020. Collectively,China has officially named this effort to increase forest area and volume the "Two Increases" as national goals related to forestry. Based on Hurst index analysis from fractal theory,we analyzed the time series of the occurrence area and related data of FBDs from 1950 to 2007 to quantitatively determine the patterns of the macro occurrence of FBDs in China. Results indicates that,the time series of( CFBD) areas is fractal( self-affinity fractal dimension D = 1. 3548),the fluctuation of( CFBD) areas is positively correlated( auto-correlation coefficient C = 0. 2170),and the occurrence of the time series of( CFBD) is long-range dependent( Hurst index H =0. 6416),showing considerably strong trend of increases in FBDC area. Three different methods were further carried out on the original time series,and its two surrogate series generated by function surrogate in library t series,and function Surrogate Data in library in Wavelet software R,so as to analyze the reliability of Hurst indexes. The results showed that the Hurst indices calculated using different estimation methods were greater than 0. 5,ranging from 0. 64 to 0. 97,which indicated that the change of occurrence area data of FBDs was positively autocorrelated.The long-range dependence in forest biological disasters in China is obvious,and the spatial extent of FBDs tended to increase during this study period indicating this trend should be expected to persistent and worsen in the future.

湖北及周边地区地震活动分形特征与R/S分析

地震的孕育、发震机制是一个复杂的非线性过程,分形理论描述这一过程具有较大的理论优势。本文基于分形理论,运用功率谱、分形维数等手段确定了湖北及周边地区地震活动分形特征,利用R/S分析发现震级hurst指数的趋势性下降代表着断裂孕震系统稳定性被破坏,与ML4.5级以上地震的发生存在关联,可以作为地震活动性中长期预测的一个指标,认为未来一段时间湖北及周边地区发生ML4.5级以上地震的危险性增强。

Melt extraction and mineralization: A case study from the Shuangjianzishan supergiant Ag-Pb-Zn deposit(208 Mt), Inner Mongolia, NE China

The supergiant Shuangjianzishan(SJZ) Ag-Pb-Zn deposit is in the southern segment of the Great Hinggan Range(SGHR), northeast China. Previous studies suggest the ore-forming material and fluid originated from the magmatic system, and the mineralization age was consistent with the diagenetic age. However,the relationship between granitic magmatism and mineralization is still unclear in the SJZ. In this study, CH-O-He-Ar and in-situ S-Pb isotope analyses were conducted to determine the sources of ore-forming fluids and metals, which were combined with geochemistry data of SJZ granitoids from previous studies to constrain the relationship between the magmatism and the mineralization. The C-H-O-He-Ar-S-Pb isotopic compositions suggested the SJZ ore-forming material and fluids were derived from a magmatic source, which has mixed a small amount of mantle-derived materials. In addition, the disseminated sulfide from the syenogranite has comparable S-Pb isotopic composition with the sulfide minerals from ore veins,suggesting that the generation of the SJZ ore-forming fluids has a close relationship with the syenogranite magmatism. Combining with the geochemical characters of the syenogranite, the authors proposed that the mantle-derived fingerprint of the SJZ ore-forming fluid might be caused by the parent magma of the syenogranite, which was derived from partial melting of the juvenile lower crust, and underwent the residual melts segregated from a crystal mush in the shallow magma reservoir. The extraction of the syenogranite parent magma further concentrated the fertilized fluids, which was crucial to mineralization of the SJZ Ag-Pb-Zn deposit.

基于REOF分析的山东省年降水区域特征及趋势分析

[目的]探究山东省不同气候分区年降水量的时空特征,为该地区气候分析、防灾减灾提供更加区域性的参考依据。[方法]根据山东省95个国家地面气象观测站1991—2020年降水年值数据,首先对山东省年降水场进行气候分区,然后通过相关统计方法分析各分区降水的时空变化特征。[结果](1)山东省各降水模态降水偏少的年份更多,降水偏多的年份降水强度更大,年代际变化均较为明显,但各模态降水偏多偏少的年份分布及强度变化有所不同。(2)山东省年降水量大致由东南向西北递减,年降水场划分为东南沿海区(Ⅰ区)、西北平原区(Ⅱ区)和中部山地区(Ⅲ区)3个区域,各降水分区年降水均呈不显著增加趋势,趋势率各不相同,突变均不明显。(3)山东省各降水分区年降水量均具有较为明显的周期性特征,东南沿海区年降水场存在2个较为明显的能量中心,中心尺度均为2~3 a,未来变化具有强持续性;西北平原区年降水场存在3个较为明显的能量中心,中心尺度分别为5~7 a, 3 a和2~3 a,未来变化具有持续性;中部山地区年降水场存在2个较为明显的能量中心,中心尺度分别为2~3 a, 6 a,未来变化具有强持续性。[结论]山东省降水偏少的年份更多,降水偏多的年份降水强度更大,年降水场大致可分为3个分区,各分区年降水量均呈不显著增加趋势,均具有较为明显的周期性特征,且未来变化均具有持续性。

全国市场VS区域市场:碳市场有效性的差异、成因及其对策

对碳市场有效性进行测度、把握碳市场运行效率,有利于进一步推动碳交易机制优化和效率提升。本文以全国碳排放权交易市场及8个区域试点碳市场为研究对象,以2021年7月16日至2023年6月16日碳配额成交均价为样本,运用结构突变检验法与重标极差分析法对各个碳市场整体与阶段运行效率进行测度。研究结果表明:全国碳市场整体运行效率偏低,仅第一阶段达到了弱式有效水平;在区域试点碳市场中北京碳市场达到弱式有效,若考虑结构突变点时,则上海、广东、湖北、深圳和重庆碳市场达到阶段性弱式有效。在此基础上,进一步剖析了全国碳市场有效性较低的影响因素,并有针对性地提出对策建议。

和田绿洲水文气象要素分形特征与R/S分析

基于和田绿洲半个世纪(1954-2003年)以来实测水文气象资料,应用Kandell秩次相关检验法进行趋势性分析,结果表明:气温、蒸发的增加趋势显著,降水、相对湿度与河川径流量存在不显著的减少趋势。R/S分析结果表明,绿州内各水文气象要素的变化具有持续性,但不同季节的持续强度不同,降水和相对湿度的持续强度夏季大于冬季,其余表现为冬季大于夏季。分形结果显示,各水文气象要素变化的趋势性和复杂程度不同,其中玉龙喀什河径流量>喀拉喀什河径流量>相对湿度>降水量>平均气温>蒸发量,即绿洲径流变化的趋势线最不明显,也最复杂。研究结果对了解绿洲气候资源、指导农业生产及预防灾害有参考作用。

R/S分析及矿井瓦斯涌出量的分形预测

介绍了分形理论中的时间序列 (R/S)分析方法 ,讨论了赫斯特指数的理论意义和实际计算方法 ,并将其应用于矿井瓦斯涌出量预测。通过对矿井瓦斯涌出量时间序列的分形处理 ,根据极差、标准差的结构分维值的大小 。

基于R/S分析法的地下水位动态变化趋势分析

为预知兴平市黄土台原区未来的地下水位动态变化趋势,采用R/S分析法及其修正式计算065和066号井1994～2009年月平均水位埋深时间序列的Hurst指数以及统计量Vτ。通过分析区域地下水的补给来源,用Kendall秩次相关检验法和5点滑动平均法分别对兴平市同期的年降水序列和地表水灌溉序列进行了趋势成分识别。研究结果表明:065和066号井月平均水位埋深序列的H分别是0.989和0.974 9,相应的Vτ与lnτ的关系曲线向上倾斜,即065和066号井的水位埋深在未来年份仍然有着显著下降的趋势。兴平市年降水量略减少的趋势并不显著,灌溉水量却有着明显的减少趋势,这与同期的地下水位动态变化趋势是相一致的。

R/S法的土石坝施工期沉降规律及预警标准研究

为提高施工期土石坝沉降安全性,研究其具有复杂非线性特征的施工期沉降规律和相应的预警标准。基于国内某在建高土石坝的沉降数据,采用R/S法分析坝体不同高程测点、同高程测点和同测点不同时期沉降数据的Hurst指数及分形维数,提出评价坝体施工期沉降安全性的预警标准。结果表明:各测点的Hurst指数最小值为0.763,坝内各处沉降仍处于快速增长阶段;坝体下部比上部、中部比下游堆石区沉降能更快趋于稳定,且坝体下部的沉降速率已经渐趋平缓。

煤矿安全状况关键指标变化特征的R/S分析

为掌握煤矿安全状况关键指标变化特征及规律,应用分形理论中的R/S分析方法对2001—2010年我国煤矿安全生产百万吨死亡率、煤矿事故死亡人数、瓦斯事故死亡人数等安全状况关键指标建立分形时间序列。结果表明:煤矿安全状况关键指标是分数布朗运动,有明显的赫斯特现象和分形特征,分形维数为1.055 3～1.073 5;煤矿安全状况关键指标的分形时间序列具有明显的趋势性,赫斯特指数为0.926 5～0.944 7,煤矿安全生产持续好转的趋势性很强。用R/S分析方法,能较好地反映煤矿安全生产复杂非线性系统的动力学特征。

利用R/S方法分析兰州城市化气候效应

运用 R/ S方法 ,对 195 1～ 1997年兰州市城市气候的温度、水汽压、相对湿度和日照百分率等指标的冬 ( 1月 )、夏 ( 7月 )及年平均值进行了分析计算 ,各项指标的Hurst指数 H均大于 0 .5 ,说明它们存在明显的 Hurst现象 ,反映出兰州市过去 47年来气候变化存在趋势性成分 ,即持续性的城市化增暖。至于各项指标的 Hurst指数在冬、夏及年平均值间有差异 。