改进的伴随状态法初至波走时层析成像方法     

董良国  张建明  韩佩恩 《地球物理学报》2021,64(3):982-992

目前,有关伴随状态法初至波走时层析成像方法的文献,基本上都是基于面积分来定义目标函数,由此得到的伴随方程也都依赖于地表的法向量.这样,一方面会因为伴随变量计算的不准确而造成梯度的不合理,另一方面也无法合理地处理井中观测问题.本文从理论或数值试验角度指出了这些问题,并提出了不依赖地表法向量的改进的伴随状态法走时层析成像方法.主要改进包括:(1)采用体积分定义目标函数,避免了传统方法不能较好处理井中观测数据的缺陷,可以适应任意地表或井中观测系统.(2)采用摄动法得到了新的伴随方程,克服了传统方法中伴随场计算需要依赖于地表法向量的缺陷,使得检波点处的走时残差可以正确地反传播至地下,进而得到更加合理的速度修正方向,提高了速度反演的精度.  相似文献   

页岩气地震勘探中页岩各向异性的地震模拟研究          下载免费PDF全文

孙伟家  符力耘  管西竹  魏伟 《地球物理学报》2013,56(3):961-970

页岩的强各向异性特征挑战地震波传播数值模拟方法的精度极限, 特别是易引起频散的高频波(>100 Hz)传播的数值模拟.鉴于目前我国页岩气地震勘探主要以常规地震声波资料为主,本文首先介绍了一种VTI介质声波方程的任意偶数阶有限差分数值模拟方法,并讨论其稳定性条件和吸收边界条件.任意偶数阶的差分解可有效提高计算精度,压制数值频散噪声.针对页岩较强的各向异性特征,本文比较了不同模型的声波方程和VTI介质声波方程计算得到的地震响应.数值结果表明,各向异性对地震波的运动学(相位)和动力学(振幅)特性影响作用明显.因此,在页岩气地震勘探资料处理的各个环节必须充分考虑各向异性的影响,采取有别于常规油气勘探的处理流程和技术.  相似文献   

波动方程叠前深度偏移直接产生角道集          下载免费PDF全文

刘礼农  张辉  张剑锋 《地球物理学报》2013,56(9):3124-3133

基于单程波深度延拓算法,得到震源波场在成像点的入射角度,结合对地层倾角的估计,获得入射地震波与界面法线的夹角.通过运用"保幅"的反褶积成像条件和考虑累加的炮数,解决了炮点覆盖不均匀导致的成像幅值误差问题,进而建议了炮域波动方程叠前深度偏移直接产生角道集的方法和流程.与基于空间移动或时移成像条件的波动方程叠前深度偏移提取角道集的方法相比,本文建议的方法只需少量额外的存储空间,又可补偿观测系统非均匀覆盖对成像幅值的影响;其增加的计算量与炮域偏移算法相比几乎可以忽略.文中算例表明,本文方法提取的角道集可为叠前反演提供较精确的AVO振幅特性.此外,就改善地震成像效果本身而言,提取角道集使得可在波动方程叠前深度偏移中应用剩余动校和拉伸切除技术,从而可更好地保持高频成分并提高成像的信噪比.  相似文献   

基于HAFMM的无射线追踪跨孔雷达走时层析成像   总被引：2，自引：2，他引：0       下载免费PDF全文

王飞  刘四新  曲昕馨  李宏卿  王元新  吴俊军 《地球物理学报》2013,56(11):3896-3907

本文使用最小二乘线性迭代反演方法对跨孔雷达直达波初至时数据进行反演,每次迭代过程中,用有限差分法求解走时程函方程,并用高精度快速推进方法(HAFMM)进行波前扩展,通过追踪波前避免了进行射线追踪.为了验证该方案,我们对三组合成数据进行了测试,分析了单位矩阵算子、一阶差分算子和拉普拉斯算子等三种不同模型参数加权算子对模型的约束和平滑效果;讨论了FMM和HAFMM对反演精度的影响;测试了LSQR,GMRES和BICGSTAB等三种矩阵反演算法的反演效果.此外,我们还对一组野外实测数据进行了反演,对比了基于本方案以及基于平直射线追踪和弯曲射线追踪的走时层析成像反演效果.对比分析结果表明,使用拉普拉斯算子和HAFMM进行反演能较好地进行目标体重建,而三种矩阵反演方法对反演效果的影响差别不大;并且通过对波前等时线图的分析可以定性地判断异常体的性质和位置;而在对实测数据目标体的重建上,本方案能达到甚至优于弯曲射线算法的重建效果.  相似文献   

Wide‐azimuth angle gathers for anisotropic wave‐equation migration     

Paul Sava  Tariq Alkhalifah 《Geophysical Prospecting》2013,61(1):75-91

Extended common‐image‐point gathers (CIP) constructed by wide‐azimuth TI wave‐equation migration contain all the necessary information for angle decomposition as a function of the reflection and azimuth angles at selected locations in the subsurface. The aperture and azimuth angles are derived from the extended images using analytic relations between the space‐ and time‐lag extensions using information which is already available at the time of migration, i.e. the anisotropic model parameters. CIPs are cheap to compute because they can be distributed in the image at the most relevant positions, as indicated by the geologic structure. If the reflector dip is known at the CIP locations, then the computational cost can be reduced by evaluating only two components of the space‐lag vector. The transformation from extended images to angle gathers is a planar Radon transform which depends on the local medium parameters. This transformation allows us to separate all illumination directions for a given experiment, or between different experiments. We do not need to decompose the reconstructed wavefields or to choose the most energetic directions for decomposition. Applications of the method include illumination studies in complex areas where ray‐based methods fail, and assuming that the subsurface illumination is sufficiently dense, the study of amplitude variation with aperture and azimuth angles.  相似文献   

Reply     

C. LOUMAGNE  M. NORMAND  M. RIFFARD  A. WEISSE 《水文科学杂志》2013,58(1):162-163

Abstract

This paper develops a new analytical solution for the aquifer system, which comprises an unconfined aquifer on the top, a semi-confined aquifer at the bottom and an aquitard between them. This new solution is derived from the Boussinesq equation for the unconfined aquifer and one-dimensional leaky confined flow equation for the lower aquifer using the perturbation method, considering the water table over-height at the remote boundary. The head fluctuation predicted from this solution is generally greater than the one solved from the linearized Boussinesq equation when the ratio of the tidal amplitude to the thickness of unconfined aquifer is large. It is found that both submarine groundwater discharges from upper and lower aquifers increase with tidal amplitude–aquifer thickness ratio and may be underestimated if the discharge is calculated based on the average head fluctuation. The effects of the aquifer parameters and linearization of the Boussinesq equation on the normalized head fluctuation are also investigated.

Editor D. Koutsoyiannis; Associate editor J. Simunek

Citation Chuang, M.-H., Mahdi, A.-A. and Yeh, H.-D., 2012. A perturbation solution for head fluctuations in a coastal leaky aquifer system considering water table over-height. Hydrological Sciences Journal, 57 (1), 162–172.  相似文献   

Analytical inversion of specific energy–depth relationship in channels with parabolic cross-sections     

Ali R. Vatankhah 《水文科学杂志》2013,58(5):834-840

Abstract

The specific energy–depth relationship in open channels with parabolic cross-sections is analytically inverted. Two nondimensional expressions of the specific energy are considered, depending on the prescribed quantity (specific energy or alternate depth). The inversion of such functions consists of finding the roots of cubic and quartic equations. By solving a quartic equation for a given discharge and for each value of the specific energy, a subcritical depth and a supercritical depth are found analytically. In this case, two acceptable roots are recognized and two other roots are discarded, on the basis of their physical meaning. Moreover, by solving a cubic equation for a given discharge and for each value of the depth, the other corresponding alternate depth is found analytically. Then, one acceptable root is recognized and two other complex conjugate roots are discarded. Finally, different examples are presented, to show the efficiency of the proposed solutions. Such analytical solutions can be easily used in natural rivers and parabolic channels.

Citation Vatankhah, A. R. & Valiani, A. (2011) Analytical inversion of specific energy–depth relationship in channels with parabolic cross-sections. Hydrol. Sci. J. 56(5), 834–840.  相似文献   

Identification of optimal soil hydraulic functions and parameters for predicting soil moisture     

Feifei Pan  Robert B. McKane  Marc Stieglitz 《水文科学杂志》2013,58(4):723-737

Abstract

The accuracy of six combined methods formed by three commonly-used soil hydraulic functions and two methods to determine soil hydraulic parameters based on a soil hydraulic parameter look-up table and soil pedotransfer functions was examined for simulating soil moisture. A novel data analysis and modelling approach was used that eliminated the effects of evapotranspiration so that specific sources of error among the six combined methods could be identified and quantified. By comparing simulated and observed soil moisture at six sites of the USDA Soil Climate Analysis Network, we identified the optimal soil hydraulic functions and parameters for predicting soil moisture. Through sensitivity tests, we also showed that adjusting only the soil saturated hydraulic conductivity, K_s , is insufficient for representing important effects of macropores on soil hydraulic conductivity. Our analysis illustrates that, in general, soil hydraulic conductivity is less sensitive to K_s than to the soil pore-size distribution parameter.

Editor D. Koutsoyiannis; Associate editor D. Hughes

Citation Pan, F., McKane, R.B. and Stieglitz, M., 2012. Identification of optimal soil hydraulic functions and parameters for predicting soil moisture. Hydrological Sciences Journal, 57 (4), 723–737.  相似文献   

逆时偏移中的归一化加权互相关成像条件及应用     

常海明  何兵寿  杨佳佳  陈婷 《中国煤炭地质》2014,(1):51-55

成像条件是决定声波方程叠前逆时深度偏移效果的重要因素。常规的归一化互相关成像条件能补偿深部地层的反射波能量,但无法压制地震波逆时偏移过程中产生的偏移噪声。针对归一化互相关成像条件的主要缺陷,从二维声波方程出发,在交错网格空间中推导了声波方程逆时延拓的高阶有限差分格式和PML吸收边界条件,进而在对常规互相关成像条件分析的基础上对其进行改进,给出了一种加权互相关成像条件,即在成像过程中利用炮检波场的夹角进行加权校正,以实现只利用炮点下行波场与接收点上行波场进行成像的目标。模型数据和实测资料偏移结果表明,归一化加权互相关成像条件成像效果明显优于常规归一化互相关成像条件。  相似文献   

三维生物礁滩建模及地震数值模拟     

黄继伟  熊晓军  贺振华 《物探化探计算技术》2014,(3):326-330

基于塔礁、点礁、生物滩等地质体的几何特征及地质特征,采用高精度的三维块状建模方法,建立了适合于复杂地区的三维礁滩复合体模型。该模型不但立体地反映了生物礁、生物滩及地层间的空间展布特征,还可以直观地体现了生物礁滩储层内部的物性差异。此外采用FK域三维波动方程数值模拟方法对其进行了地震波场数值模拟,得到了一系列具有代表性时间剖面上的地震波场响应特征,为正确认识实际生物礁滩的复杂结构和特性提供了依据。  相似文献