基于第二代小波自适应网格的二维声波方程波传模拟

本文利用第二代小波多尺度分解和快速变换的特点,构造自适应计算网格.对初始计算网格上的数值解进行第二代小波变换,得到数值解对应的小波系数空间.小波系数的大小表示相邻网格上数值变化率,小波系数大的区域网格点上的数值解变化梯度大.当小波系数大于等于预设的阈值时,在小波系数对应的网格点周围插入新的计算网格点,通过阈值可以实现网格的细化,得到多尺度下层层嵌套的细化自适应网格;由有限差分法得到相应网格点的空间导数.比较数值算例得到的波场快照和计算时间,验证了该方法的有效性.     

Rainfall data simulation by hidden Markov model and discrete wavelet transformation

In many regions, monthly (or bimonthly) rainfall data can be considered as deterministic while daily rainfall data may be treated as random. As a result, deterministic models may not sufficiently fit the daily data because of the strong stochastic nature, while stochastic models may also not reliably fit into daily rainfall time series because of the deterministic nature at the large scale (i.e. coarse scale). Although there are different approaches for simulating daily rainfall, mixing of deterministic and stochastic models (towards possible representation of both deterministic and stochastic properties) has not hitherto been proposed. An attempt is made in this study to simulate daily rainfall data by utilizing discrete wavelet transformation and hidden Markov model. We use a deterministic model to obtain large-scale data, and a stochastic model to simulate the wavelet tree coefficients. The simulated daily rainfall is obtained by inverse transformation. We then compare the accumulated simulated and accumulated observed data from the Chao Phraya Basin in Thailand. Because of the stochastic nature at the small scale, the simulated daily rainfall on a point to point comparison show deviations with the observed data. However the accumulated simulated data do show some level of agreement with the observed data.     

Conductivity model for pyrite-bearing laminated and dispersed shaly sands based on a differential equation and the generalized Archie equation

The conductance of pyrite-bearing laminated and dispersed shaly sands is not well understood and resistivity models for pyrite-bearing shaly sands are nonexistent. Thus, we first synthesize clean pyrite-matrix samples, and quartz-matrix samples with variable laminated shale, dispersed shale, and pyrite content and then perform petrophysics experiments to assess the effect of pyrite content on the conductivity of pyrite-bearing shaly sands. Second, based on the differences in conductivity and conduction pathways and geometries because of the variable composition of the pyrite-bearing laminated and dispersed shaly sands, we divide the shaly sands into their components, i.e., laminated shale, quartz grains, pyrite grains, hydrocarbon, dispersed shale, microscopic capillary water, and mobile water. A generalized resistivity model is proposed to describe the conductivity of pyrite-bearing laminated and dispersed shaly sands, based on the combined conductivity differential equation and generalized Archie equation. In the generalized resistivity model, the conductivity differential equation is used to describe the conductivity of dispersed inclusions in a host, whereas the generalized Archie equation is used to describe the conductivity of two conducting phases. Moreover, parallel conductance theory is used to describe the conductivity of dispersed shaly sands and laminated shale. Theoretical analysis suggests that the proposed model satisfies the physical constraints and the model and experimental results agree. The resistivity and resistivity index of shaly sands decrease with increasing conductivity and pyrite. Finally, the accuracy of the resistivity model is assessed based on experimental data from 46 synthetic core samples with different oil saturation. The model can describe the conductivity of clean pyrite-matrix samples, and quartz-matrix samples with different volumes of laminated shale, dispersed shale, and pyrite. An accurate saturation model of pyrite-bearing laminated and dispersed shaly sands is thus obtained and the log data interpretation in complex shaly sands can improve with the proposed model.     

Muskingum equation based downstream sediment flow simulation models for a river system

Applications of sediment transport and water flow characteristics based sediment transport simulation models for a river system are presented in this study. An existing water–sediment model and a new sediment–water model are used to formulate the simulation models representing water and sediment movement in a river system. The sediment–water model parameters account for water flow characteristics embodying sediment transport properties of a section. The models are revised formulations of the multiple water inflows model describing water movement through a river system as given by the Muskingum principle. The models are applied to a river system in Mississippi River basin to estimate downstream sediment concentration, sediment discharge, and water discharge. River system and the river section parameters are estimated using a revised and the original multiple water inflows models by applying the genetic algorithm. The models estimate downstream sediment transport rates on the basis of upstream sediment/water flow rates to a system. Model performance is evaluated by using standard statistical criteria;downstream water discharge resulting from the original multiple water inflows model using the estimated river system parameters indicate that the revised models satisfactorily describe water movement through a river system. Results obtained in the study demonstrate the applicability of the sediment transport and water flow characteristics-based simulation models in predicting downstream sediment transport and water flow rates in a river system.     

基于改进声波方程和MCPML边界的频率域高精度正演模拟

数值频散和边界反射是频率域模拟时需要解决的两个重要问题.然而,受计算效率和分解阻抗矩阵时的内存占用量的制约,提高有限差分算子长度或增加有限差分网格数目均不是提高频率域模拟精度的最优解决方案.本文首先分析了数值频散产生的理论机制,在此基础上,推导了一种"波数补偿"的声波方程表达式来压制数值频散,并给出其物理意义,有效地改善了数值频散问题,提高了模拟精度;在边界问题上,本文采用多轴卷积完全匹配层（MCPML）边界条件代替传统的完全匹配层（PML）边界条件,快速吸收边界内的残余能量,压制边界反射.结合改进声波方程和MCPML边界条件,给出了一种高精度的频率域声波方程有限差分格式.数值模拟结果表明,在不增加计算量和内存占用量的前提下,本文研究的方法、正演精度高、波场模拟清晰、无干扰反射,是一种可靠高效的频率域模拟方法.     

基于Markov链模型的储层岩相随机模拟

在油气储层随机建模研究中，基于Markov链模型的方法是一类较受欢迎的技术，同时也是一类不成熟的技术，问题的症结之一在于侧向的转移概率矩阵很难求取，针对这种情况，作者在深入理解Walther相律的基础上，借鉴模拟退火算法的相应思路，提出了一种岩相模拟的新方法，该方法依据不同岩相的百分比进行随机模拟得到一幅初始图象，而后以按岩相组织剖面得到的垂向和侧向的岩相转移概率矩阵的相似性作为判别标准对图象进行扰动，直至得到满意的图象，二维模型试算结果表明了这种岩相随机模拟方法的可行性。     

基于含气泡液体声波方程的海底冷泉数值模拟

海底冷泉羽状流与海底天然气水合物的分布密切相关,对水合物稳定带的边界具有指示作用,是未来能源勘探的重要领域.研究海底冷泉羽状流的地震响应特征,对确定天然气水合物的储集区域及成藏环境等均有重要意义.当前获得海底冷泉羽状流的地震响应主要通过数值模拟进行,然而该过程所依据的含气泡介质声速模型及随机介质理论不能完整描述海底冷泉的物理性质,采用的声波方程也不适用于高频地震波数值模拟.为了准确地实现海底冷泉羽状流地震波数值模拟,精确分析其地震响应特征,本文提出利用Keller-Miksis气泡振动模型来描述气泡在声波作用下的运动状态,同时考虑气泡间的相互作用,建立海底冷泉气泡模型.在此基础上,本文创新性地采用含气泡液体声波方程进行海底冷泉高频地震波数值模拟.数值模拟结果表明,本文提出的方法能够实现海底冷泉羽状流地震响应的高精度数值模拟.     

基于含气泡液体声波方程的海底冷泉数值模拟

海底冷泉羽状流与海底天然气水合物的分布密切相关,对水合物稳定带的边界具有指示作用,是未来能源勘探的重要领域.研究海底冷泉羽状流的地震响应特征,对确定天然气水合物的储集区域及成藏环境等均有重要意义.当前获得海底冷泉羽状流的地震响应主要通过数值模拟进行,然而该过程所依据的含气泡介质声速模型及随机介质理论不能完整描述海底冷泉的物理性质,采用的声波方程也不适用于高频地震波数值模拟.为了准确地实现海底冷泉羽状流地震波数值模拟,精确分析其地震响应特征,本文提出利用Keller-Miksis气泡振动模型来描述气泡在声波作用下的运动状态,同时考虑气泡间的相互作用,建立海底冷泉气泡模型.在此基础上,本文创新性地采用含气泡液体声波方程进行海底冷泉高频地震波数值模拟.数值模拟结果表明,本文提出的方法能够实现海底冷泉羽状流地震响应的高精度数值模拟.

     

Numerical simulation of elastic wave propagation based on the transversely isotropic BISQ equation

Introduction More real models are being developed by the modern seismology. As we all know, the earth is not a simple elastic body. Oil and gas reservoir, ground surface, seashore zone, sea bottom layer, etc, are porous solid media with fluids. It has been confirmed that there are two main fluid flow mechanisms in these media (Dvorkin, Nur, 1993), i.e., the Biot flow mechanism (Biot, 1956, 1962) based on the macroscopic property and the Squirt-flow mechanism (Mavko, Nur, 1979) based on the …     

基于纤维模型的CFT框架柱滞回性能模拟及模型灵敏度分析

研究了基于纤维模型的CFT框架柱滞回性能模拟的建模方法,建立了基于不同材料本构模型的CFT框架柱数值模型,并探讨了材料本构关系、纤维截面网格划分、积分点数量等因素对模拟精度的影响。以试验为依据,运用Opensees软件,通过计算结果与试验结果的对比,分析了影响滞回模型计算精度的主要因素。结果表明,受约束混凝土本构关系的下降段,钢材本构关系的强化段,是影响滞回模型准确性的主要因素,而网格划分和积分点数量的影响则主要体现在程序运行速率方面。研究将为基于纤维模型法的CFT框架柱滞回性能模拟分析提供理论依据。     

基于连续方程的河道水流双变量耦合演算模型

针对现有的河道水流洪水演算模型只能模拟单一变量(流量或水位)的问题,以水流连续方程和河段蓄水量的两种不同表达形式(蓄水量等于平均过水断面面积与河段长乘积,蓄水量等于河段平均流量与传播时间的乘积)为基础,对马斯京根模型进行了通用性改进,提出了双变量耦合通用演算模型.选取了四大水系(包括内陆河流和入海河流)的16个河段汛期洪水资料进行模型检验,模型验证考虑了地理范围、不同的河段特征和水力特征、洪水量级等因素,全面地检验了模型结构的合理性和模拟实际洪水的有效性.将双变量耦合通用演算模型与传统的马斯京根法进行了效果比较,结果表明双变量耦合通用演算模型的模拟精度高于马斯京根法,模拟效果比马斯京根法稳定一些,而且具有较好的通用性.     

基于变形P-L模型的矩阵方程迭代精细横波预测

横波速度预测问题的关键有两个,一是如何建立合理的岩石物理模型,二是针对建立的横波预测目标函数,如何准确高效地求解.针对第一个问题,对Pride模型和Lee模型(P-L模型)进行变形,提出拟固结指数的概念,将干岩石模量和岩石基质模量相联系,变形后的P-L模型在没有降低P-L模型准确度的情况下简化了问题的复杂度,建立起了饱和流体岩石弹性模量与干岩石模量、岩石基质模量、混合流体模量之间的关系,进而计算理论上的纵波速度,并通过比较实测纵波速度与计算的理论纵波速度大小,最终建立了横波预测的目标函数.针对第二个问题,借鉴了地震反演的思路,将该目标函数的最优化问题转化为线性矩阵方程组迭代求解问题,通过几步迭代就可以求解出合适的拟固结指数,进而得到预测横波速度.实际验证和应用表明,该横波预测方法具有很好的稳定性和准确性,并且岩石物理模型的构建和目标函数的求解思路可用于其他储集类型地层的横波预测.     

基于小波包分解及AR模型的单通道地震波信号初至点检测

地震波信号的初至点检测在核爆地震的自动识别中起着重要作用,本文描述了一种单通道地震波信号初至点检测方法,它是基于小波包分解及对大地噪声信号进行统计分析后建立的大地噪声模型——AR模型而提出的. 文中对该方法进行了理论分析及实际地震波信号检验. 研究结果表明,该方法对地震波信号具有很强的自适应能力,能定量确定初至点的位置.     

基于BISQ模型的三维双相各向异性介质数值模拟

Biot-flow and squirt-flow are the two most important fluid flow mechanisms in porous media containing fluids. Based on the BISQ （Biot-Squirt） model where the two mechanisms are treated simultaneously, the elastic wave-field simulation in the porous medium is limited to two-dimensions and two-components （2D2C） or two-dimensions and three-components （2D3C）. There is no previous report on wave simulation in three- dimensions and three-components. Only through three dimensional numerical simulations can we have an overall understanding of wave field coupling relations and the spatial distribution characteristics between the solid and fluid phases in the dual-phase anisotropic medium. In this paper, based on the BISQ equation, we present elastic wave propagation in a three dimensional dual-phase anisotropic medium simulated by the staggered-grid high-order finite-difference method. We analyze the resulting wave fields and show that the results are an improvement.     

基于时间相依地震活动性模型的地震时间序列模拟

模拟地震时间序列在地震危险性分析和地震灾害预测等领域中具有重要作用,地震活动性模型是模拟地震序列的重要理论基础.本文以时间相依地震活动性模型为理论模型,系统梳理了现有时间相依地震活动性模型理论与方法,研究了断层（震源）上最新地震发生时间已知、未知以及地震历史开放间隔已知三种情况下地震发生概率的计算方法,分析了地震复发间隔的变异系数对时间相依地震发生概率的影响.研究了基于布朗模型的特征地震准周期发生的物理原理,建立了时间相依地震时间序列的模拟方法.研究结果表明,在地震离逝时间较长的情况下,基于时间相依地震活动性模型计算的地震发生概率要显著大于泊松模型;在地震历史开放时间已知情况下,计算的地震发生概率要高于地震离逝时间未知的情况.地震复发间隔的变异系数越小,模拟的地震时间序列越呈现周期性.本文研究结果可提高长期地震概率预测水平,模拟的具有时间相依特征的地震时间序列可用于地震预测、概率地震危险性分析以及地震灾害预测等领域.

     

Designing optimal number of receiving traces based on simulation model

Currently, the selection of receiving traces in geometry design is mostly based on the horizontal layered medium hypothesis, which is unable to meet survey requirements in a complex area. This paper estimates the optimal number of receiving traces in field geometry using a numerical simulation based on a field test conducted in previous research (Zhu et al., 2011). A mathematical model is established for total energy and average efficiency energy using fixed trace spacing and optimal receiving traces are estimated. Seismic data acquired in a complex work area are used to verify the correctness of the proposed method. Results of model data calculations and actual data processing show that results are in agreement. This indicates that the proposed method is reasonable, correct, sufficiently scientific, and can be regarded as a novel method for use in seismic geometry design in complex geological regions.     

基于小波变换与小波包变换的降噪方法比较

在模拟地震记录信号中加入信噪比为17的高斯白噪声,然后分别采用小波降噪和小波包降噪方法,对含噪信号进行降噪处理。在不同降噪阈值下,比较降噪后信号的信噪比。结果表明:在同一降噪阈值下,小波包降噪后信号的信噪比高于小波降噪后信号的信噪比,而且采用wbmpen方法给定的阈值明显可以提高降噪后信号的信噪比。     

基于GSLS模型TI介质衰减拟声波方程

随着计算机硬件技术的发展以及高分辨率勘探需求的增加,我们希望能够更准确地模拟地下介质,得到更丰富的地层信息.然而,传统的声学假设并不能描述实际地层所存在各向异性和黏滞性,使得成像分辨率较低.为了实现深部储层的高精度成像,本文同时考虑了介质的各向异性和黏滞性,从TI介质弹性波的基本理论出发,结合各向异性GSLS理论,并通过声学近似方法导出基于GSLS模型的各向异性衰减拟声波方程.数值模拟表明该方程既能准确地描述各向异性介质下的准P波运动学规律,又能体现地层的吸收衰减效应;模型逆时偏移结果表明,在实现成像过程中考虑各向异性和黏滞性的影响,能对高陡构造清晰成像,且剖面振幅相对均衡,分辨率较高.     

Simplified lateral free field boundary based on a lumped mass system

After reviewing the studies on the lateral artificial boundaries in dynamic soil-structure interactions, the free field boundary was theoretically analyzed in asymmetric-and symmetric-matrix forms. First, the lumped mass system was combined with viscous or viscoelastic elements to obtain a lumped mass-free field boundary. Second, typical examples were implemented using the finite element software ABAQUS. The incident shear wave was taken to be perpendicular to the bottom to verify the effectiven...     

Prediction of landslide occurrence based on slope-instability analysis and hydrological model simulation

Hillslope failure usually occurs as soil resistance deteriorates in the presence of the acting stress developed by a rising groundwater level during rainstorms. The present study adopted a slope-instability analysis and a hydrological model for landslide prediction during heavy rainstorms. Variation of the groundwater table on hillslope was simulated by using the hydrological model and then the temporal groundwater level at each grid was substituted into the slope-instability analysis to determine the instability of the grids in watersheds for prediction of massive landslides.Hydrological records from two landslide-prone areas in northern Taiwan were collected. Digital elevation model was adopted to obtain the geomorphologic factors required for the slope-instability analysis and the hydrological model. The spatial distribution of soil thickness required for performing the infinite slope model was estimated by using a wetness index. Results showed that the temporal variation of the percentage of unstable grids in the study watersheds basically followed the variation of rainfall hyetographs. The percentage of the unstable grids reached a maximum value when the centroid of the hyetograph passed. A comparison between the landslide records and the model analytical results revealed that a massive landslide might occur if more than 50% of the grids in the subwatershed were classified as unstable in the study areas. The predicted time and location of landslide occurrence were consistent with those obtained from field investigations. It is therefore considered promising to apply the developed analytical method for landslide warning to alleviate the loss of lives and property.