The multilevel fast multipole method for forward modelling the multiply scattered seismic surface waves   总被引：1，自引：0，他引：1  

Özcan Çakir 《Geophysical Journal International》2006,167(2):663-678

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Large‐scale poroelastic fractured reservoirs modeling using the fast multipole displacement discontinuity method          下载免费PDF全文

A. Verde  A. Ghassemi 《国际地质力学数值与分析法杂志》2016,40(6):865-886

An effective approach to modeling the geomechanical behavior of the network and its permeability variation is to use a poroelastic displacement discontinuity method (DDM). However, the approach becomes rather computationally intensive for an extensive system of cracks, particularly when considering coupled diffusion/deformation processes. This is because of additional unknowns and the need for time‐marching schemes for the numerical integration. The Fast Multipole Method (FMM) is a technique that can accelerate the solution of large fracture problems with linear complexity with the number of unknowns both in memory and CPU time. Previous works combining DDM and FMM for large‐scale problems have accounted only for elastic rocks, neglecting the fluid leak‐off from the fractures into the matrix and its influence on pore pressure and stress field. In this work we develop an efficient geomechanical model for large‐scale natural fracture networks in poroelastic reservoirs with fracture flow in response to injection and production operations. Accuracy and computational performance of the proposed method with those of conventional poroelastic DDM are compared through several case studies involving up to several tens of thousands of boundary elements. The results show the effectiveness of the FMM approach to successfully evaluate field‐scale problems for the design of exploitation strategies in unconventional geothermal and petroleum reservoirs. An example considering faults reveals the impact of reservoir compartmentalization because of sealing faults for both geomechanical and flow variables under elastic and poroelastic rocks. Copyright © 2015 John Wiley & Sons, Ltd.  相似文献   

多极子声波测井在低孔低渗气层中的数值研究   总被引：3，自引：1，他引：2       下载免费PDF全文

陈雪莲  王瑞甲 《地球物理学进展》2007,22(6):1836-1840

现有的天然气勘探中的测井技术,在评价低孔低渗气层时遇到诸多难题,本文引入了一种新的气藏评价方法,即利用多极源激发的模式波的幅度来识别气藏,并对此方法进行了数值验证.以Biot多孔介质理论为基础建立了低孔低渗含气储层计算模型,数值计算了多极子声源在充液井孔中激发的频散曲线、衰减曲线以及全波列波形.结果表明,挠曲波和螺旋波的衰减系数与相速度相比,对孔隙中的流体性质更敏感,且随着多极源级数的增加和工作主频的提高,挠曲波和螺旋波的衰减系数的变化程度明显增强;在偶极子和四极子激发的全波列波形中,可清晰的观测到对地层孔隙流体不敏感的地层横波,在这种情况下,可以通过对比波列中地层横波和频散的弯曲波(或螺旋波)幅度来识别气层.  相似文献   

任意阶次磁多极子场力线方程的解析表示          下载免费PDF全文

马石庄 《地球物理学报》1994,37(5):703-706

本文证明任意阶次磁多极子场力线方程总可以用有限形式解析地表示，并对偶极族和四极族磁多极子场力线的位形给予注记。  相似文献   

Buoyancy and The Sensible Heat Flux Budget Within Dense Canopies   总被引：1，自引：8，他引：1  

D. Cava  G. G. Katul  A. Scrimieri  D. Poggi  A. Cescatti  U. Giostra 《Boundary-Layer Meteorology》2006,118(1):217-240

In contrast to atmospheric surface-layer (ASL) turbulence, a linear relationship between turbulent heat fluxes (F_T) and vertical gradients of mean air temperature within canopies is frustrated by numerous factors, including local variation in heat sources and sinks and large-scale eddy motion whose signature is often linked with the ejection-sweep cycle. Furthermore, how atmospheric stability modifies such a relationship remains poorly understood, especially in stable canopy flows. To date, no explicit model exists for relating F_T to the mean air temperature gradient, buoyancy, and the statistical properties of the ejection-sweep cycle within the canopy volume. Using third-order cumulant expansion methods (CEM) and the heat flux budget equation, a “diagnostic” analytical relationship that links ejections and sweeps and the sensible heat flux for a wide range of atmospheric stability classes is derived. Closure model assumptions that relate scalar dissipation rates with sensible heat flux, and the validity of CEM in linking ejections and sweeps with the triple scalar-velocity correlations, were tested for a mixed hardwood forest in Lavarone, Italy. We showed that when the heat sources (S_T) and F_T have the same sign (i.e. the canopy is heating and sensible heat flux is positive), sweeps dominate the sensible heat flux. Conversely, if S_T and F_T are opposite in sign, standard gradient-diffusion closure model predict that ejections must dominate the sensible heat flux.  相似文献   

A sequential sparse polynomial chaos expansion using Bayesian regression for geotechnical reliability estimations     

Qiujing Pan  Xingru Qu  Leilei Liu  Daniel Dias 《国际地质力学数值与分析法杂志》2020,44(6):874-889

Polynomial chaos expansions (PCEs) have been widely employed to estimate failure probabilities in geotechnical engineering. However, PCEs suffer from two deficiencies: (a) PCE coefficients are solved by the least-square minimization method which easily causes overfitting issues; (b) building a high order PCE is often computationally expensive. In order to overcome the aforementioned drawbacks, the Bayesian regression technique is employed to evaluate PCE coefficients, which not only provides a sparse solution but also avoids overfitting. With the aid of the predictive means and variances given by Bayesian analysis, a learning function is proposed to sequentially select the most informative samples that are critical to build a PCE. This sequential learning scheme can highly enhance the computational efficiency of PCEs. Besides, importance sampling (IS) is incorporated into the sequential learning (SL)-PCEs to deal with geotechnical problems with small failure probabilities. The proposed method of SL-PCE-IS is applied to three illustrative examples, which shows that the improved PCE method is more effective and efficient than the common PCEs method, leading to accurate estimations of small failure probabilities using fewer training samples.  相似文献   

地下水模型的Neumann展开Monte-Carlo随机有限元法   总被引：1，自引：0，他引：1  

姚磊华 《煤田地质与勘探》1997,25(4):31-34

讨论了求解地下水模型(水流模型和水质模型)的Neumann展开Monte-Carlo随机有限元法。从基本的随机变量入手,避免了过程中随机变量的增多问题,给出结点水头(浓度)的均值、方差和水头在某区间的概率计算方法;改进了矩阵求逆的效率,对输入随机变量较多、随机变量变异较大的非稳定地下水问题特别有效。同时选取二维承压地下水水流问题(有解析解)作为例子,进行了随机数值模拟实验。   相似文献   

没水倾斜板式防波堤消波性能分析     

王禹龙  上官子昌  董榅键  祁隆 《海洋工程》2017,35(6):55-61

提出了一种将波浪中倾斜板问题等效化简为波浪中水平板单元组的方法,该方法建立在使用分离变量法求解水工结构边值问题的基础上,并使用伽辽金法精确求解连续边界条件,确定考虑衰减波态的速度势函数,从而求解没水倾斜板结构的消波性能。等效化简法计算精度于边界元法相当,且计算单元数量少、开销低。基于二维线性势波理论,对没水倾斜板式防波堤消波性能分析显示,没水板的倾斜角度、没水深度与板长是结构消波性能的控制因素:没水倾斜板防波堤的消波性能优于没水水平板防波堤的消波性能,随着没水板结构的倾斜角度增大,没水倾斜板结构的波浪透射系数显著减小,且长板优于短板,浅板优于深板;与前人的水槽实验对比显示,相对没水深度与波陡影响结构的消波性能,且波陡造成的波浪破碎贡献了显著的波能消耗。该结论对板式防波堤的结构配置、优化设计有重要意义。  相似文献   

多极子声波测井资料在辽河油田硬地层中的应用   总被引：4，自引：4，他引：0  

刘景武 《现代地质》2004,18(3):378-382

通过声波全波列测井中斯通利波的反射和差异能量分析,在辽河油田中进行了裂缝识别并评价了其有效性。利用由4个波列旋转得到的交叉能量成分可以描述碳酸盐岩中的有效裂缝。通过分析计算各向异性的最小和最大能量,并通过不同井的实际产量已证实这些计算结果的一致性,从而对有效裂缝进行了描述。用多极子声波测井可以提高地震资料解释的精度,确定岩性与岩石特征,并探测气层与裂缝。编制出适合辽河油田使用的岩石力学性质参数图并应用在生产中。  相似文献   

小参数展开法解圆柱扭转的有限位移问题   总被引：1，自引：0，他引：1  

左谨平 《地球科学》1990,15(5):572-580

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