fractal 中文意思是什麼

For this purpos, from the point of the log geology, aimed at the actuality of the current fractured reservoir log geology interpretation and evaluation, based on synthetical analysis of the current domestic and foreign fruit of fractal dimension investigation of reservoir fracture, using the method and technique of fractal dimension, through the further discussion of the fractal dimension characteristics of m index and n index in the log interpretation archie model in a sample way and through the theoretic reasoning to the fractal dimension dfa and m index of fractured reservoir interval ' s log curve, according to the geophysical signification of the fractal dimension dfa of fractured reservoir interval ' s log curve shape : the more complicated the change of the curve shape is, the larger the its dfa value is, then the more complicated space structure of fracture and pore, then the higher value of m index of space structure of fracture and pore, and so on, the text propounds an improved method, based on box dimension, of covering log curve with scale grid, and by programming computes the dfa and its m index value of fractured reservoir interval ' s log curve, for instance, ac and rt curve, ect, then further puts this technique into application investigation, and makes analysis of application effects in the reservoirs located in l area of qx oil field from three aspects : 1. the dfa and its m index value of fractured reservoir interval ' s log curve, for instance, ac and rt curve, ect, which are derived from computing, is used to identify reservoir type by crossplotting m index with the product df _ acrt of fractal dimension of acoustical wave log curve and restivity log curve and by experiential discriminance plate of reservoir type in l area of qx oil field

因此，對該區裂縫性儲集層的類型識別、孔滲特徵的測井地質解釋以及儲層裂縫的發育和分佈規律進行深入的研究便成為本文研究的出發點。為此，本文從測井地質的角度，針對當前裂縫性儲層測井地質解釋與評價的現狀，在綜合分析當前國內外儲層裂縫的分形分維研究成果的基礎上，利用分形分維方法和技術，通過對archie測井解釋模型中的m指數、 n指數的分形分維特性的深入淺出的論述以及裂縫性儲層段測井曲線分維d _ （ fa ）與m指數的理論推導，根據裂縫性儲層測井曲線形態分維值的地球物理意義? ?曲線變化越復雜，則其分維值d _ （ fa ）越大、裂縫孔隙空間結構越復雜、裂縫孔隙空間結構指數m值越高等特徵，提出了改進的基於盒維數的測井曲線網格覆蓋法，編程計算了裂縫性儲層段常規測井曲線（如聲波和電阻率曲線）上分形分維值及其m指數值，進而從以下三個方面對qx油田l區塊的裂縫油藏進行應用研究，效果十分理想： 1將計算得到的可變的m指數與聲波和電阻率分維之積df _ acrt進行交繪，採用儲層分維值分類技術統計分析這些參數變化的規律，並結合qx油田l區塊儲層類型經驗判別圖版，從而實現qx油田l區塊下白堊統的裂縫性儲層的類型識別。

The research shows that the fractal theory can be used to describe quantificationally differentiate and anomalistic micro cracks of concrete that formed in injury evolution

研究表明，用分形理論方法可以定量描述和區分混凝土在損傷演化期間形成的極其不規則的微裂紋。

The fractal characteristics of the nano - ar - bubbles ' structure

納米氬泡的分形特徵

Analyse of fractal and chaotic characteristics for the thickness - distributions of auriferous - quartz - veins in xiangxi au deposit, hunan, china

湘西金礦含礦石英脈厚度變化的分形和混沌分析

Combined with the foundation research ( avigation science fund 04d52032 ) ” study on cfar detecting expert system base on clutter tracking ”. this paper study the fractal technic and snake algorithm on the application of clutter tracking. it proved that the method was effective by the algorithm which adapt to the real and simulant clutter data

本課題結合航空科學基金「基於雜波跟蹤融合的恆虛警檢測專家系統研究」 ，研究分形技術和snake演算法在雜波跟蹤中應用，設計了相應的演算法，通過分析真實數據和模擬數據驗證了演算法的有效性。

We describe the meaning of chaos > future idea of chaotic theory and influence on forecast ; introduce the character of chaotic time series, and point out the problem and shortage of the methods already existed computing character value which are fractal dimension and the largest lyapunov exponent and improve on it ; present the forecast principle of forecast method based on chaotic attractor, and point out the shortage of local field forecast method based on chaotic attractor and bring forward improved on methodo at the same time, we put forward a banausic algorithm and compare two models using practical example

論述了混飩的含義與混淪理論的未來觀及其對預測的影響；介紹了。混飩時間序列的特徵，指出了己有的計算分形維及最大李雅譜諾夫指數這兩個特徵量的方法存在的問題與不足，並對此進行了改進；給出了基於混飩吸引子的預測方法的預測原理，指出了常用的基於混燉吸引子預測的局域法的不足並給出了改進方法，同時，給出了其實用演算法，並用實例進行了比較。

Form. taxus chinensis var. mairei is protecting plant in the first class, which is a precious and endangering plant in china in this paper, the quantitative characterics of form. taxus chinensis vsr. mairei population including age structure, spatial distribution pattern, growth dynamics of tree basal area, niche characterics, fractal dimension and competition between specises were studied using methods of mathematics ecology from the angle of population ecology of form. taxus chinensis var. mairei, then the prent state and the endangering causes were analysed. this research offers gist to protecting and enlarging the crude resourse of form. taxus chinensis vsr. mairei population, afforesting plantation and sustainable utilize for us

本文從南方紅豆杉種群生態學的角度、主要應用數學生態學的方法探討南方紅豆杉種群的數量特徵，包括南方紅豆杉種群年齡結構、種群空間格局（探討分佈格局動態規律與生境相互關系） 、不同立地條件下種群優勢度增長趨勢、生態位寬度、生態位相似比例、生態位重疊、空間占據能力及種間競爭等，分析其目前現狀及瀕危原因，期望為南方紅豆杉野生資源的保護和擴大、營造人工林及可持續利用提供理論基礎，也為瀕危植物種群生態學的研究提供參考。

Fractal description of roundness of clastic particles

碎屑顆粒圓度的分形描述

Fractal characteristics of particle size distribution of coal series kaolinite during calcination

煅燒煤系高嶺土粒度分佈的分形特徵

Contrapose the shortcoming of the thecnology of the image compression, we present a new method based on the theory of the fractal, and do some experiment

在此基礎上針對現有圖像壓縮技術中存在的一些不足，提出了一種新的基於分形理論的圖像壓縮演算法並進行了實驗。

The fractal is a disciplinarian subject that describes many anomalous things in the mature

分形是一門描述自然界中許多不規則事物的規律性的學科。

Through the inspecting, the author selected three methods of eradiate noise ' s feature extraction. the methods include the pedigree, e - filter, fractal. in those methods, the pedigree is based on frequency field, the e - filter is based on the energy field and the fractal is based on time field

本文作者經過考察，採用了三種前期研究中較為有效的水下目標特徵提取方法? ?基於功率譜估計的線譜特徵提取方法、基於小波分析的不同頻段內能量特徵提取方法和基於水聲信號分維特性的特徵提取方法。

At last, the probability density function shows multi - fractal characteristic, which is gauss distribution in euclidean space

流體微團的概率密度分佈函數也表現出多重分形特徵

Furthermore, the dq value ranges of profile multifarctal spectra in different landform types and in different directions of the same sections perform different properties and anisotrpies. it can be concluded that the landscape fractal properties depends closely on the int ensity, manner and inhomogenity of exogenic and inogenic processess, and with the properties, we can study quantatively the dynamic geomorphic process. by using the same methods just above, local fractal dimensions d, crossover length tc and the multifractal spectra dq - q of two large - scale landform profiles ( across and along tianshan mountain ranges respectively ) are calculated. the results show that in the studied scaling range the two profiles perform different scaling properties, and both of them can be divided to three evident different linear scaling subsections

不同類型地貌區二維地貌表面也表現出多度域分形特徵，而且隨著觀測尺度的增加，每個區間的分維值均表現為依次減小，表明外營力作用的影響逐漸被內營力作用所取代：不同類型地貌區在相應區間的分維值表現為高山區中低山區盆地區，體現了不同類型地貌表面粗糙性或復雜性的差異，因此分維值大小可作為地貌表面外營力侵蝕作用強度的重要指標：利用標度區的間斷點和各種地貌類型表面分維值或宏觀效應趨於一致，提出5 - 6km左右可作為地貌的宏觀臨界點，並且與利用地貌剖線研究所得到的5km這一數值是基本吻合的。

The fractal interpolation based on the self - similar of data interpolates data by certain mathematical model. the fractional brownian motion ( fbm ) is one of

分形布朗運動（ fractionalbrownianmotion ，簡稱fbm ）是用以描述地形表面分形特徵最有效的數學模型之一。

The fourth chapter introduces the theory of fractional brown movement ( fbm ). the image texture of turning workpiece is analyzed using fbm model. after abstracting the texture character, the cutting tool wear status can be determined according to fractal dimension and average slope of the fitting curve of the logarithm power spectrum

第四章採用分數布朗運動（ fbm ）的基本理論，對切削工件表面紋理的圖像進行分析，提取紋理特徵參數，根據分形維數和圖像上對數功率譜的擬合曲線的平均斜率來判斷刀具的磨損狀態。

In this thesis, flow regime identification and malfunction diagnosis of fluidization were studied with fractal technology, the presented methods for both flow regime identification and malfunction diagnosis were proved of effectivity. main achievements are as following : 1. fractal brownian motion ( fbm ) was made from gauss noise and compared with pressure fluctuation signal of gas - solid fluidization, which demonstrated the similarity between the fbm and the signal

在通過fbm （分數布朗運動）數據模擬證明了氣固流化床壓力波動信號與分數布朗運動是相似的基礎上，提出了用分數布朗運動來模擬氣固流化床壓力波動信號，並採用r s分析法從信號時間序列中提取出hurst指數，通過分析信號hurst指數值對流化床流型和結塊故障進行了研究。

The research emphases of the paper include the establishment of terrain model and the realization of detail of surface. during the establishment of terrain model, the theory of fractal and the characteristics of ivs, fractal brown motion ( fbm ) are discussed and compared, and prove the model is adapt to the feature of the physiognomy

地形模型的建立和地表細節的表現是本文研究工作的重點，在建立地形模型的過程中，分析了分形理論和分形法中的隨機插值、布朗運動（ fbm ）的原理並進行比較，論證了其數學模型與真實地貌特徵基本吻合，並運用隨機插值法（ insert - valuestochastically ， ivs ）實現了地形的分形模型。

Under the fractal application, the transitional state rendering method based on t - fbm constraint model is proposed. in this model, the transitional deformation energy is defined as the bi - association between the initial state and the transitional fractal detail, and the fbm constraint is realized by the threshold statistical estimation. furthermore, the regional buffering control and regional harmonic control can offer more abundant and flexible control ways for the rendering of fractal transitional state

針對過渡狀態可視化的分形應用，提出了基於t一fbm約束的繪制方法，將過渡變形能作為與初始形狀和過渡分形細節之間的雙向關聯，以閉值估計一作為fbm約束因子的具體實現，以區域緩沖與區域調和作為不同約束下的控制手段，很好地在繪制結果中反映出分形性過渡特性的分佈情況。

The fire bomb shader is an excellent example of how a complex effect, such as smoke and fire, can be achieved by animating and remapping a fractal texture

這個爆炸火球材質是一個優秀的例子，告訴我們如何控制一個復雜的效果，如煙和火，能通過動畫一個分形紋理來貼圖完成。