大地电磁资料精细处理和二维反演解释技术研究(二)——反演数据极化模式选择

针对大地电磁二维反演中TE、TM极化模式的选择问题,设计了多个二维、三维模型进行了正演计算,从数据对比和反演结果对比两方面入手,分析研究了三维模型和二维模型响应数据的差异、反演中极化模式的选择、以及三维模型数据的二维反演近似等问题.研究结果表明:在三维模型条件下,利用二维模型进行反演时,TE模式对模型的二维的近似程度要求远高于TM模式;当三维结构影响较明显时,利用TM模式数据进行二维反演比利用TE模式或利用TE+TM模式联合反演都更合理,反演结果中的虚假结构明显减少;对于TM模式,相位受三维畸变影响较小,视电阻率较大,所以二维反演中可适当加大相位的权;对于实测数据的二维反演,应优先考虑采用TM模式数据进行二维反演,其次是TM+TE模式,一般不要单独采用TE模式.     

基于MPI的二维大地电磁正演的并行计算

大地电磁二维正演对每一个频率分别进行计算,各频率对应的电磁场值间相互独立,根据这一特点可以将程序按频率划分粒度,将每个频点计算分配到各个进程同时进行计算,并行执行。文中给出了大地电磁二维有限元正演的并行算法,它结合了MPI的优点,采用主从并行模式、分频并行计算的并行方案来执行。为了检验编写的并行程序,对设计的2个模型进行试算,并与串行程序对比验证了该算法的可行性、正确性,为二维反演、三维正反演的并行计算提供了研究基础。     

带地形的大地电磁各向异性二维模拟及实例对比分析

带地形的大地电磁二维正演数值模拟多数基于电性各向同性理论,由于地球内部电性各向异性现象的普遍存在,基于电性各向异性理论研究地形起伏情况下大地电磁二维正演数值模拟就显得非常迫切.本文首先由麦克斯韦方程出发,引入张量电导率,求得一组关于平行走向的电场分量Ex和磁场分量Hx的二阶偏微分方程,使用有限差分法求解出Ex和Hx的近似解,并以此求得其他场分量;其次,引入地形因素,改变变量在网格节点中的排列方式,选择交错排列方式从而给有限差分系数矩阵的最大带宽分配合理的存储空间;最后,使用Weaver的方法解决TM模式下,在地-空分界面垂直于构造走向的一些区域存在不同电导率的问题.通过对带地形的二维电性各向异性结构做正演模拟,研究地形因素对大地电磁响应的影响;以电性各向异性理论为基础,将地形因素引入对实测大地电磁资料的处理中,通过做二维正演拟合和未引入地形因素的结果做对比,说明电性各向异性现象的普遍存在,认识地形因素对观测大地电磁场的影响,为今后分析解释实测大地电磁资料包含地形因素和电性各向异性情况提供理论基础和技术指导.     

大地电磁三维交错网格有限差分数值模拟的并行计算研究

为了更有效的提高大地电磁三维正演的计算速度,引入了并行处理技术.大地电磁三维交错网格有限差分数值模拟是按照不同频率来计算的,各频率之间求取电磁场值的过程是相互独立的.根据这一特点,可以将多个频率的计算任务平均划分为一个或者几个频率的计算子任务,分配到各个计算节点去并行执行,计算完成后将结果汇总.本文通过采用主从并行模式、分频并行计算的方案,在曙光TC5000A高性能并行平台上实现了基于MPI的大地电磁三维正演的并行计算.通过两个理论模型对实现的大地电磁三维正演并行算法进行试算,对比分析了多个节点机下程序的执行效率.测试结果表明,所实现的三维正演并行算法是正确的、高效的,为进一步的大地电磁三维反演并行算法研究奠定了重要基础.     

隐伏地质构造的大地电磁有限单元法正演模拟

对常见的隐伏地质构造体进行大地电磁场正演模拟,并研究和总结了构造体对大地电磁场的响应特征.由麦克斯韦方程组导出大地电磁场的边界条件,应用有限单元法求解变分问题并得出刚度矩阵,根据线性方程组计算出相应的场值,再由改进的视电阻率定义式求出视电阻率.模拟结果显示:改进的视电阻率定义式相对于传统的Cagniard定义式能有效地提高视电阻率曲线的收敛速度和逼近程度;隐伏地质构造体对大地电磁场的响应具有一定的规律性,通过分析两种极化模式下的正演结果,可以有效地识别地质构造体的存在和分布情况.通过实例分析,得出隐伏地质构造正演模拟与实际观测资料的互相验证关系,为实践应用中的反演工作提供了重要的指导意义.     

耦合PML边界条件的三维大地电磁二次场有限差分法

本文将大地电磁场分解为一次场和二次场,应用交错网格有限差分法模拟计算大地电磁二次场,并引入各向异性最佳匹配层(PML)吸收边界条件作为二次场边界条件,实现了耦合PML吸收边界条件的三维大地电磁二次场有限差分正演模拟.为了确保正演的稳定性和效率,QMR求解器和磁感应矢量散度校正技术被用于PML吸收边界条件下系数矩阵的快速求解.三维模型正演响应表明,基于二次场的三维大地电磁有限差分算法具有较高的计算精度和可靠性.通过计算分析不同PML吸收因子条件的大地电磁正演结果,显示在适当的吸收因子下,PML吸收边界条件可较大幅度的减小外边界距离,从而有效的压缩模型求解空间,最终提高三维大地电磁正演模拟的效率.     

无网格局部Petrov-Galerkin法大地电磁场二维正演模拟

有限差分法和有限单元法在大地电磁场数值模拟中已经得到了广泛的应用,但其数值结果的精度在很大程度上依赖于网格的离散程度.当模拟起伏地形、弯曲界面等复杂地电模型大地电磁场响应时,常常需要花费大量的时间以便得到较合理的离散网格.无网格局部Petrov-Galerkin法(MLPG)不同于有限差分法和有限元法,其形函数和权函数脱离了网格的束缚.本文详细推导了二维大地电磁场边值问题的弱式形式,并将其离散为局部积分域内的表达形式.通过模拟二维海洋地电模型大地电磁场响应,并与结构网格有限元结果进行对比,验证了本文算法和程序的正确性及精度.设计了一个含有弯曲界面的二维地电模型,讨论了不同离散网格对MLPG无网格法模拟结果的影响,并与结构有限元法结果进行了比较,结果表明MLPG无网格法模拟结果受离散网格影响较小.最后利用MLPG无网格法计算了两个海洋起伏地形模型的大地电磁响应,讨论了海底起伏地形对大地电磁响应的影响.     

大地电磁测深二维反演对“准二维”地质构造的适应性研究

受计算机硬件水平限制,大地电磁(MT)三维反演难以在实际中推广应用,MT数据解释仍以二维反演为主.地质构造具有一定的二维性特征,但不同的地质构造走向往往不同、MT测线无法与每个构造的走向垂直,这使得实际MT数据并不满足严格的二维反演条件.因此,有必要开展大地电磁测深二维反演对"准二维"地质构造的适应性研究.本文设计三个理论地电模型,通过三维正演计算获得各测点大地电磁响应,以此模拟实际观测数据.对MT数据进行相位张量分析,结果表明设计的地电模型主要表现为二维性特征.利用非线性共轭梯度(NLCG)反演算法对理论MT数据进行二维反演研究,重点讨论了测线方向、电性主轴旋转策略及反演模式选择,对反演结果的影响.对比分析反演结果,得到如下认识:1.测线方向对反演结果影响较小;2.电性主轴旋转角度对反演结果影响较大;3.TE+TM联合模式及单独TM模式的反演效果较好.研究结果表明:当一条测线下方在横向与纵向上存在走向不同的多个异常体时,对整条剖面分测点、分频段进行电性主轴旋转,反演所得结果最可靠.     

大地电磁测深二维反演方法求解复杂电性结构问题的适应性研究

为探讨二维反演方法在三维电性结构中的适应性问题,本研究中设计了一系列的二维/三维正演模型进行实验计算,分析了三维高阻/低阻异常体对模型响应的畸变作用,并从反演模式选择和数据旋转方向两个方面进行模型二维反演的对比分析,与三维反演的结果进行了比较,最后采用了实测数据进一步进行了二维和三维反演的比较实验.实验和研究结果表明,在剖面选择方面,在剖面方向与垂直主构造方向相差不大的情况下,截取剖面方向,将电性主轴旋转到垂直剖面方向的二维反演结果与垂直主构造方向的反演结果都可以较好地还原正演模型,在大的构造的反映上并无太大差异.在地下为二维或近三维条件时,正演模型的主要结构都可以较好地被二维和三维反演解析出来.二维的反演结果可能甚至会比三维的反演结果的边界更清晰,更精确.然而,对于具有较强的三维结构的模型而言,其二维反演结果与原始模型可能仍然存在较大差异,其中TM+TP或TM模式的二维反演结果相对更接近原始模型,而TE模式的结果往往会有较大误差,需要在解释时特别注意以免得出错误结论.     

大地电磁三维矢量有限元正演研究

本文首先从麦克斯韦方程出发,研究了三维大地电磁场所满足的方程和边界条件,利用加权余量法推导了与大地电磁场边值问题等价的变分方程.用六面体单元对计算区域进行剖分,通过矢量有限元分析形成大型复系数线性方程组,采用不完全Cholesky预处理结合双复共轭梯度算法对方程进行求解.建立均匀半空间模型和三层层状模型进行数值模拟,并与解析解进行对比,验证了矢量有限元方法以及程序的正确,然后对三维异常体模型进行正演模拟,并对结果进行了分析.在验证过程中发现利用矢量有限元方法进行三维大地电磁正演时,传统的边界条件结果不理想,还需要给定四个垂直侧面的边界条件,另外认识到网格剖分的重要性,得到了一些在用矢量有限元方法进行三维大地电磁正演时关于剖分的有意义的结论.     

STUDY ON THE ELECTRICAL STRUCTURE OF THE ANQIU AND JUXIAN ELECTROMAGNETIC STATIONS IN THE TANLU FAULT ZONE

The Yishu fault zone is one of the branch faults of the Tanlu fault zone in its central part. Moderate and strong earthquakes occurred in the Yishu fault zone repeatedly. Due to its complex structure, the Yishu fault zone attracts much attention from earthquake researches. The Anqiu and Juxian electromagnetic stations in Shandong Province locate near the Anqiu-Juxian Fault and Changyi-Dadian Fault, which are branches of the Yishu fault zone, respectively. Geoelectric field and geomagnetic field observation were carried out in these two stations. The Wudi electromagnetic station is in the west of Tanlu fault zone in the Jidong-Bohai block and 230km from Anqiu electromagnetic station. This paper firstly describes the crustal structure near the electromagnetic stations by using magnetotelluric(MT)method. By processing the data carefully, we obtain the MT data in good quality near the stations. The MT data of each electromagnetic station and its nearby area suggests that the electrical structure and geological structure of the station are comparable. This paper applied 1-D and 2-D inversion for MT data and obtained the crustal electrical structure model beneath the Anqiu and Juxian seismic station. The shallow electrical structure from the MT method was compared with the results of symmetrical quadrupole electrical sounding. The model suggests that the electrical structure beneath the Anqiu and Juxian electromagnetic stations is complex and shows the feature of block boundary. The Wudi electromagnetic station is located inside a basin, the crustal structure shows layered feature typical for the stable blocks. Beneath the Anqiu electromagnetic station, there is a 1km-thick relative low resistivity layer in the shallow crust and a high resistivity body beneath it with a depth of 13km. There is a high resistivity structure in the crust beneath the Juxian electromagnetic station. The crustal structures are divided into two different parts by Anqiu-Juxian Fault and Changyi-Dadian Fault, respectively. More conductive layers appear to the west of the two faults. Plenty of fluid possibly exists within the conductive body to the west of Changyi-Dadian Fault, which plays important role in the earthquake generation. There is a relative low resistivity layer in the crust within 1~2km beneath the Wudi electromagnetic station. Beneath the relatively low resistivity layer, a relatively high resistivity layer extends to a depth of around 15km, and the resistivity value decreases with the increase of depth. The electrical resistivity model suggests the seismic activity of the Yishu fault zone around the Anqiu and Juxian electromagnetic stations should be taken into account seriously, and monitoring and research on it need to be strengthened. The results of this paper provide a certain reference value for the crustal structure research to similar stations.     

京津唐渤和周围地区地壳上地幔电性结构及其与地震活动性的关系

京津唐渤及其周围地区是我国的强烈地震活动区之一。自1976年以来,我们在该区开展大地电磁测深工作,完成了近30个测点。所得结果表明,本区壳内存在高导层,与地震方法确定的壳内低速层一致。平原内上地幔高导层埋深50-80公里,山区大于100公里,与地震方法确定的上地幔低速层基本一致,同时与大地热流测量、居里等温面计算和对新生代玄武岩地球化学研究结果基本吻合。本区绝大多数地震位于壳内高导层之上,强烈地震主要发生在上地幔高导层隆起的边缘。最后讨论了本区强震活动与壳内和上地幔高导层的关系。     

可控源海洋电磁勘探中空气波影响的理论分析和数值模拟

可控源海洋电磁勘探(MCSEM)中空气波对海底电磁响应的影响已为业界所熟知,且已提出了多种压制方法.然而,由于空气波与海水层中其它信号相互作用的复杂性,至今其作用机理及对有效信号的影响方式尚未完全清楚,这也阻碍了浅水域MCSEM油气勘探的应用.本文在前人研究的基础上, 基于一维层状介质的电磁位和电磁场分析,采用电磁场的模式分解理论导出了空气、海水层和海底地层之间的相互作用关系.分析了MCSEM电磁响应的影响因素和空气波的作用机理.以无限水深假想模型、三层介质模型和四层介质模型为基础,导出了水平电偶极子(HED)的横电(TE)和横磁(TM)模式的电磁场关系,分析显示了前人提出的上下行波分离进行空气波压制所存在的缺陷.通过理论和数值模拟知道, 利用横电(TE)和横磁(TM)模式受空气相互作用影响的差异和电磁场水平分量与垂直分量受空气层相互作用影响程度的不同可减弱空气波对有效信号的影响,这将有助于实现浅水域海洋电磁勘探数据的有效利用.     

海岸效应对近海地区大地电磁测深数据畸变作用研究

在近海地区采集的大地电磁测深数据通常受到海岸效应的影响,使得大地电磁测深数据发生畸变,因而很难利用大地电磁测深资料较为可靠地获得地下深部的电性结构.本文通过正演模拟方法,分析和总结海水深度变化和海底地形变化对近海地区大地电磁测深数据的畸变影响.当测区与海岸线的距离小于目标频率的大地电磁场趋肤深度时,高导海洋的存在会严重影响测区内电磁场的分布.由于海岸效应的影响,大地电磁测深视电阻率曲线和相位曲线均会发生不同程度的畸变,在低频部分,这种畸变作用尤为明显.大地电磁测深一维Occam反演方法和二维非线性共轭梯度反演方法,对近海地区浅部地层具有较好的反演效果.随着海水深度的增加和海底地形的复杂变化,两种反演方法均会出现不同程度的假异常,为地质解释工作造成了影响.近渤海地区的实测大地电磁测深数据在低频部分可能受到海岸效应的影响而导致视电阻率曲线的严重畸变.     

3-D inversion of MT data from the Sabalan geothermal field,Ardabil, Iran

Since the true Earth is 3-D in nature, a three-dimensional (3-D) inversion has clear advantages over lower dimensional inversions. We utilized a 3-D magnetotelluric (MT) inversion code, WSINV3DMT, to obtain a realistic resistivity model using a long period MT data set collected in the Northwest Sabalan geothermal field in Ardabil, Iran. The apparent resistivity and phase curves, the magnetic induction vectors, the impedance polar diagrams and the rotational invariant of impedance tensor, indicate a complex 3-D conductivity structure. After setting up the model parameters and designing the appropriate block discretization, we performed the 3-D inversions for two sets of observed data; one set includes the full MT impedance tensor and another set contains only off-diagonal elements of the MT impedance. The final model was selected according to the relative magnitude of the data misfit and the model norm with respect to various Lagrangian multipliers. The results of this study illustrate the 3-D inversion of the off-diagonal elements of MT impedance tensor is precisely enough to explain the structures related to the geothermal source. The obtained results were compared with the results of available 2-D models and they are then interpreted using all of the geological and drilling data of the area. The main outcome of this study is the precise delineation of the geometry of geothermal source that is located at the center of the study area with a surface coverage of about 7 km².     

FRACTURES AS CONDUCTING DYKES AND CORRESPONDING TWO-DIMENSIONAL MODELS*

A statistical treatment of MT data from the Pannonian Basin, Hungary, based on the distortion theory of the S-effect suggests that the local increase in crustal conductivity is connected with deep fractures. Field model measurements have recently been carried out in a shallow, quasi two-dimensional basin of well known tectonics using MT station distances of 1–3 km. The results of the investigation and numerical modelling of near surface distortions, support the idea that deep fractures (faults) contain the conducting formations. According to 2-D model computations, several conducting dykes at considerable depths can cause anomalies which are indiscernible from an anomaly due to a conducting layer. The significance of these results is discussed from the point of view of geothermal energy exploitation.     

Numerical modeling of 3-D terrain effect on MT field

Using the boundary element method, the numerical modeling problem of three-dimensional terrain effect on magnetotelluric (MT) field is solved. This modeling technique can be run on PC in the case of adopting special net division. The result of modeling test for 2-D terrain by this modeling technique is basically coincident with that by 2-D modeling technique, but there is a great difference between the results of 3-D and 2-D modeling for 3-D terrain. Project supported by the National Natural Science Foundation of China.     

Mesoscale energetics and flows induced by sea-land and mountain-valley contrasts

We study the relative importance of sea-land and mountain-valley thermal contrasts in determining the development of thermally forced mesoscale circulations (TFMCs) over a mountainous peninsula. We first analyse the energetics of the problem, and using this theory, we interprete the numerical simulations over Calabria, a mountainous peninsula in southern Italy. The CSU 3-D nonlinear numerical model is utilised to simulate the dynamics and the thermodynamics of the atmospheric fields over Calabria. Results show the importance of orography in determining the pattern of the flow and the local climate in a region as complex as Calabria. Analysis of the results shows that the energetics due to the sea-land interactions are more efficient when the peninsula is flat. The importance of the energy due to the sea-land decreases as the mountain height of the peninsula increases. The energy stored over the mountain gains in importance, untill it is released by the readjustment of the warm mountain air as it prevails over the energy released by the inland penetration of the sea breeze front. For instance, our results show that over a peninsula 100 km wide the energy over the mountain and the energy in the sea-land contrast are of the same order when the height of the mountain is about 700 m, for a 1500 m convective boundary layer (CBL) depth. Over the Calabrian peninsula, the energy released by the hot air in the CBL of the mountain prevails over the energy released by the inland penetration of the sea air. Calabria is about 1500 m high and about 50 km wide, and the CBL is of the order of 1500 m. The energy over the mountain is about four time larger than the energy contained in the sea-land contrast. Furthermore, the energetics increase with the patch width of the peninsula, and when its half width is much less than the Rossby radius, the MAPE of the sea breeze is negligible. When its half width is much larger than the Rossby radius, the breezes from the two opposing coastlines do not interact. Over Calabria peninsula, numerical simulations show that the flow is highly ageostrophic, and that the flow intensity increases from sunrise to reach its maximum in the afternoon but before sunset, which suggests that, in the late part of the day, the conversion of potential energy into kinetic energy is balanced by the dissipation.     

三维大地电磁测深中的薄层近似方法在地震预报研究中的应用

本文将Ｓ．Ｐａｒｋ１９８４年提出的解决三维大地电磁测深问题的薄层近似方法，用于甘肃省河西地区的大地电磁测深定点复测结果的资料解释，展示了这种方法应用于复杂介质结构下的大地电磁测深工作的良好前景。依据该方法理论而编制的程序有较高的计算精度。