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Numerical considerations on the modeling of source and boundary conditions for the frequency domain visco-acoustic wave equation solution 频域粘声波方程解的源和边界条件建模的数值考虑
Pub Date : 2018-12-19 DOI: 10.29047/01225383.80
S. Avendaño, Juan Carlos Muñoz Cuartas
Seismic modeling is an important step in the process used for imaging Earth subsurface. Current applications require accurate models associated with solutions of the wave propagation equation in real media. Unfortunately, it is common not to find in the technical literature deep discussions on the impact of specific details associated with the physical modeling of some crucial ingredients of the process, such as seismic source term and boundary conditions. In this paper, we discuss some issues related to the modeling of wave propagation in visco-acoustic media using finite differences. We focus our attention on two major elements of the modeling problem that are associated to the source term and the boundary conditions. We show that the source term can be modeled using a scale parameter that controls the spread of energy and shows that this parameter is a function of frequency and position of the source. As to boundary conditions, we show that Perfectly Matched Layer (PML) parameters are also frequency dependent. For both cases, seismic source scale parameter and PML model parameters we provide values and functions that optimize the performance of the approach for problems where visco-acoustic wave propagation is required. Frequency domain Full Waveform Inversion (FWI), or Reverse Time Migration (RTM) processes that depend fundamentally on the appropriate modeling of the wave-field are potential fields of application of these results.
地震模拟是地下成像过程中的一个重要步骤。当前的应用需要与实际介质中波传播方程的解相关联的精确模型。不幸的是,通常在技术文献中找不到与过程中某些关键成分的物理建模相关的具体细节的影响的深入讨论,例如震源项和边界条件。本文讨论了用有限差分法模拟粘声介质中波传播的一些问题。我们将注意力集中在与源项和边界条件相关的建模问题的两个主要元素上。我们表明源项可以使用控制能量扩散的尺度参数建模,并表明该参数是源频率和位置的函数。至于边界条件,我们证明了完全匹配层(PML)参数也是频率相关的。对于这两种情况,我们提供了震源尺度参数和PML模型参数的值和函数,以优化该方法在需要黏声波传播的问题中的性能。频域全波形反演(FWI)或逆时偏移(RTM)过程基本上依赖于对波场的适当建模,是这些结果应用的潜在领域。
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引用次数: 0
A GPU implementation of the second order adjoint state theory to quantify the uncertainty on FWI results 一种二阶伴随状态理论的GPU实现,用于量化FWI结果的不确定性
Pub Date : 2018-12-19 DOI: 10.29047/01225383.86
S. Abreo, Ana Beatríz Ramírez Silva, Oscar Mauricio Reyes Torres
The second order scattering information provided by the Hessian matrix and its inverse plays an important role in both, parametric inversion and uncertainty quantification. On the one hand, for parameter inversion, the Hessian guides the descent direction such that the cost function minimum is reached with less iterations. On the other hand, it provides a posteriori information of the probability distribution of the parameters obtained after full waveform inversion, as a function of the a priori probability distribution information. Nevertheless, the computational cost of the Hessian matrix represents the main obstacle in the state-of-the-art for practical use of this matrix from synthetic or real data. The second order adjoint state theory provides a strategy to compute the exact Hessian matrix, reducing its computational cost, because every column of the matrix can be obtained by performing two forward and two backward propagations. In this paper, we first describe an approach to compute the exact Hessian matrix for the acoustic wave equation with constant density. We then provide an analysis of the use of the Hessian matrix for uncertainty quantification of the full waveform inversion of the velocity model for a synthetic example, using the 2D acoustic and isotropic wave equation operator in time.
Hessian矩阵及其逆提供的二阶散射信息在参数反演和不确定性量化中都起着重要的作用。一方面,对于参数反演,Hessian方法引导下降方向,使代价函数以较少的迭代次数达到最小。另一方面,它将全波形反演后得到的参数的概率分布作为先验概率分布信息的函数提供后验信息。然而,Hessian矩阵的计算成本代表了从合成数据或实际数据中实际使用该矩阵的最先进的主要障碍。二阶伴随状态理论提供了一种精确计算Hessian矩阵的策略,减少了它的计算成本,因为矩阵的每一列都可以通过执行两次正向和两次反向传播来获得。本文首先描述了一种计算等密度声波方程精确Hessian矩阵的方法。然后,我们分析了使用Hessian矩阵对速度模型的全波形反演进行不确定性量化的一个综合例子,使用二维声波和各向同性波动方程算子。
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引用次数: 1
Integral modelling of propagation of incident waves in a laterally varying medium: An exploration in the frequency domain 横向变化介质中入射波传播的积分模拟:频域的探索
Pub Date : 2018-12-19 DOI: 10.29047/01225383.79
A. Jim'enez, Juan Carlos Muñoz Cuartas, S. Avendaño
In this work we present a formalism that intends to solve the problem of modeling wave propagation in the context of seismic inversion. The formalism is based on the linear perturbation theory of Cauchy’s equations. Based on the foregoing, we derived an equivalent Helmholtz equation for the propagation of waves in a variable density media. Then, we defined a solution, by using the boundary conditions on a half plane. This solution is of an integral nature and resembles expansion in a Neumann series. We implemented the solution of the first terms in the series, considering only the incident wavefield and neglecting the reflections. We show how this approximation works in different media that include lateral in homogeneities in the velocity. The method presented hereunder is intended as a first step in the modelling process for the full wavefield, to be used in seismic inversion methods, Full Waveform Inversion, for example.
在这项工作中,我们提出了一个旨在解决地震反演背景下波传播建模问题的形式化方法。这种形式是基于柯西方程的线性摄动理论。在此基础上,导出了波在变密度介质中传播的等效亥姆霍兹方程。然后,利用半平面上的边界条件,给出了方程的解。这个解具有积分性质,类似于诺伊曼级数的展开。在只考虑入射波场而忽略反射波场的情况下,我们实现了该级数第一项的解。我们展示了这个近似如何在不同的介质中工作,包括速度的横向均匀性。本文提出的方法旨在作为全波场建模过程的第一步,用于地震反演方法,例如全波形反演。
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引用次数: 1
Optimal coding of blended seismic sources for 2D full waveform inversion in time 混合震源二维全波形实时反演优化编码
Pub Date : 2018-12-19 DOI: 10.29047/01225383.78
K. Florez, Sergio Alberto Abreo Carrillo, Ana Beatríz Ramírez Silva
Full Waveform Inversion (FWI) schemes are gradually becoming more common in the oil and gas industry, as a new tool for studying complex geological zones, based on their reliability for estimating velocity models. FWI is a non-linear inversion method that iteratively estimates subsurface characteristics such as seismic velocity, starting from an initial velocity model and the preconditioned data acquired. Blended sources have been used in marine seismic acquisitions to reduce acquisition costs, reducing the number of times that the vessel needs to cross the exploration delineation trajectory. When blended or simultaneous without previous de-blending or separation, stage data are used in the reconstruction of the velocity model with the FWI method, and the computational time is reduced. However, blended data implies overlapping single shot-gathers, producing interference that affects the result of seismic approaches, such as FWI or seismic image migration. In this document, an encoding strategy is developed, which reduces the overlap areas within the blended data to improve the final velocity model with the FWI method.
基于速度模型估计的可靠性,全波形反演(FWI)方案作为一种研究复杂地质带的新工具,在油气行业中越来越普遍。FWI是一种非线性反演方法,从初始速度模型和获取的预处理数据开始,迭代估计地震速度等地下特征。混合震源已被用于海洋地震采集,以降低采集成本,减少船舶穿越勘探圈定轨迹的次数。在混合或同时进行且未进行分离或解混的情况下,采用FWI方法将阶段数据用于速度模型的重建,减少了计算时间。然而,混合数据意味着重叠的单次射击集,产生干扰,影响地震方法的结果,如FWI或地震图像偏移。本文提出了一种编码策略,通过减少混合数据中的重叠区域来改进FWI方法的最终速度模型。
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引用次数: 0
Full Waveform Inversion in generalized coordinates for zones of curved topography 曲面地形带的广义坐标全波形反演
Pub Date : 2018-12-19 DOI: 10.29047/01225383.84
César-Augusto Arias Chica, D. Abreo, S. Abreo, Luis Fernando Duque Gómez, Ana Beatríz Ramírez Silva
Full waveform inversion (FWI) has been recently used to estimate subsurface parameters, such as velocity models. This method, however, has a number of drawbacks when applied to zones with rugged topography due to the forced application of a Cartesian mesh on a curved surface. In this work, we present a simple coordinate transformation that enables the construction of a curved mesh. The proposed transformation is more suitable for rugged surfaces and it allows mapping a physical curved domain into a uniform rectangular grid, where acoustic FWI can be applied in the traditional way by introducing a modified Laplacian. We prove that the proposed approximation can have a wide range of applications, producing precise near-surface velocity models without increasing the computing time of the FWI.
全波形反演(FWI)最近被用于估计地下参数,如速度模型。然而,由于在曲面上强制应用笛卡尔网格,当应用于地形崎岖的区域时,这种方法有许多缺点。在这项工作中,我们提出了一个简单的坐标变换,使曲面网格的构建成为可能。所提出的转换更适合于崎岖的表面,它允许将物理弯曲域映射到均匀的矩形网格中,其中声学FWI可以通过引入改进的拉普拉斯函数以传统方式应用。我们证明了所提出的近似可以有广泛的应用,在不增加FWI计算时间的情况下产生精确的近地表速度模型。
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引用次数: 0
Fluid Inclusions and Rare Earth Elements (REE) analysis in calcite veins: Tectonic - diagenesis interaction in the Rosablanca formation, Mesa de los Santos sector, eastern cordillera, Colombia 哥伦比亚东部科迪勒拉Mesa de los Santos段Rosablanca组方解石脉流体包裹体和稀土元素分析:构造-成岩作用
Pub Date : 2018-06-15 DOI: 10.29047/01225383.89
C. Jairo, Naranjo-Vesga Julián-Francisco, Mantilla-Figueroa Luis-Carlos
Studies conducted by means of petrography, cathodoluminescence, SEM, fluid inclusion and REE geochemistry in core samples from the Rosablanca Formation in the Mesa de Los  Santos sector, identified two types of material: the host rock classified as Packstones and Grainstones, and veins that texturally expose three types of filling (blocky texture, blocky elongate texture, fibrous texture). Diagenesis is characterized by dissolution, carbonate cement precipitation, compaction, fracturing and fluid circulation through fractures during at least three episodes; these diagenetic processes were contemporaneous with the distensive and compressive tectonic regimes regionally dominant during the Cretaceous, Paleogene and Neogene in the study area. The fluids that generated the different types of texture inside the veins were brines that belonged to the H2O – NaCl – CaCl2 system, with salinities between 0.03 – 12.96 % wt eq NaCl, derived from the Rosablanca Formation that was deposited under oxic conditions, retaining their marine character and implying an autochthonousorigin for the REE present in the veins. The conditions of entrapment for fluid inclusions during the early event were heterogeneous, arising from an immiscible mixture of brines andhydrocarbons, while in the second, they were homogeneous with later post-entrapment processes.later post-entrapment processes.
通过岩石学、阴极发光、扫描电镜、流体包裹体和稀土元素地球化学研究,对Mesa de Los Santos地区Rosablanca组岩心样品进行了研究,确定了两种类型的物质:被分类为Packstones和Grainstones的寄主岩石,以及在结构上暴露出三种充填类型(块状结构、块状细长结构、纤维状结构)的脉体。成岩作用的特征是溶蚀作用、碳酸盐胶结物沉淀作用、压实作用、压裂作用和流体通过裂缝的循环作用至少3次;这些成岩作用与研究区白垩纪、古近纪和新近纪区域主导的扩张和挤压构造体制是同时期的。在脉内形成不同类型纹理的流体为H2O - NaCl - CaCl2体系的盐水,盐度在0.03 ~ 12.96% (wt eq NaCl)之间,来自Rosablanca组,在缺氧条件下沉积,保留了其海洋特征,表明脉内REE存在本地来源。在早期事件中,流体包裹体的包裹条件是不均匀的,这是由盐水和碳氢化合物的不混相混合物引起的,而在第二次事件中,它们是均匀的,这是后期的包裹过程。之后的捕获过程。
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引用次数: 5
Techno-environmental assessment of a micro-cogeneration system based on natural gas for residential application 住宅用天然气微型热电联产系统的技术环境评价
Pub Date : 2018-06-15 DOI: 10.29047/01225383.97
R. F. Colmenares-Quintero, L. Latorre-Noguera, J. Colmenares-Quintero, J. Dibdiakova
The study carried out here aims to determine the advantage of using in-situ electricity generation facilities versus conventional generators, being evaluated from the environmental point of view. For this, an environmental analysis on the production of CO2 has been applied to two scenarios of electricity generation for a residential building in Medellin city (Colombia). The first one refers to La Sierra thermo-electric plant located in La Sierra, municipality of Puerto Nare, in the Antioquiashire, which is the most efficient plant in Colombian thermal generation. The second comparison scenario refers to the annual operation of a micro-cogeneration facility, which satisfies the building’s hot water and electrical energy needs. Using the capabilities of the TRNSYS v17® energy simulation software and the emission equations available in the public domain, the comparative environmental analysis is carried out between one and the other for the same load. The losses in electric transmission are assumed to be 10%. This analysis has shown a difference of more than 50% in emissions generation, with the main cause being the amount of fuel used, which for both cases is natural gas. On the other hand, this study shows the environmental advantages in the use of in-situ generators, decreasing transmission losses.
在这里进行的研究旨在确定使用就地发电设施与传统发电机的优势,并从环境的角度进行评估。为此,对二氧化碳产生的环境分析已应用于麦德林市(哥伦比亚)一座住宅楼的两种发电方案。第一个是位于Antioquiashire Puerto Nare市La Sierra的La Sierra热电厂,这是哥伦比亚火力发电效率最高的电厂。第二个比较方案是指微型热电联产设备的年度运行,该设备满足建筑物的热水和电能需求。利用TRNSYS v17®能源模拟软件的功能和公共领域可用的排放方程,在相同的负载下,在一个和另一个之间进行比较环境分析。假设电力传输中的损耗为10%。该分析显示,两者的排放量差异超过50%,主要原因是使用的燃料数量,两种情况下都是天然气。另一方面,本研究显示了使用原位发电机的环境优势,减少了传输损耗。
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引用次数: 5
Provenance and diagenesis from two stratigraphic sections of the lower cretaceous Caballos formation in the upper Magdalena valley: Geological and reservoir quality implications 马格达莱纳河谷上部下白垩统Caballos组两个地层剖面物源和成岩作用:地质和储层质量意义
Pub Date : 2018-06-15 DOI: 10.29047/01225383.101
E. Duarte
The Aptian-Albian Caballos Formation is a proven reservoir in the oil producing basins of the Upper Magdalena Valley and Putumayo (Colombia), characterized by wide variation in its petrophysical properties. Integrated provenance, diagenetic and basic petrophysical analyses are presented from two stratigraphic sections of the Caballos Formation in the Upper Magdalena Valley (Ocal and Cobre creeks) in order to test regional geological models, and to relate compositional and diagenetic factors with the reservoir quality.Sandstones from the Caballos Formation document a change from texturally immature- subarkoses, litharenites to quartz arenites. High quartz contents, the presence of feldspar, sedimentary, metamorphic and volcanic lithic suggest mixed provenance, with a major contribution from sedimentary sources. U-Pb dating of detrital zircons reveals age populations that include contributions from Precambrian, Permian, Triassic and Jurassic rocks. These data, together with the compositional trends, suggest that source areas likely include adjacent  massifs from the eastern segment of the Upper Magdalena Valley with similar compositional andtemporal characteristics (Garzón and Macarena Massifs for the southeastern Ocal Section, and the Upper Magdalena Valley massifs and the eastern flank of the Central Cordillera; Ocal Section). The changes in compositional features and detrital geochronology between the upper and lower members of both sections suggest a change in source areas, associated with the erosion and depletion of adjacent uplifts, and the increasing dominance of more distal eastern and western sources, which reflect the end of tectonic instability and the deepening of the basin.The presence of quartz, feldspar, and lithic rock fragments have a major impact on the porosity and permeability of Caballos Formation sandstones. Porosity values are lower in the lower member of the Caballos Formation where diagenesis has altered abundant feldspar and lithic rock fragments to authigenic porefilling clays. Higher porosity and permeability values found in the upper member of the Caballos correspond to a combination of higher quartz contents and the dissolution of meta-stable components during late diagenesis.
Aptian-Albian Caballos组是位于Upper Magdalena Valley和Putumayo(哥伦比亚)产油盆地的一个探明储层,其岩石物理性质变化很大。通过对上马格达莱纳河谷(Ocal和Cobre creek) Caballos组两个地层剖面的物源、成岩作用和基本岩石物理分析,验证了区域地质模型,并将储层的成分和成岩作用因素与储层质量联系起来。卡巴洛斯组的砂岩记录了从结构不成熟的亚斑砂岩、岩屑砂质到石英砂质的变化。石英含量高,长石、沉积、变质和火山岩屑的存在表明物源混合,主要来自沉积物源。碎屑锆石的U-Pb定年揭示了前寒武纪、二叠纪、三叠纪和侏罗纪岩石的年龄群。这些数据和成分趋势表明,源区可能包括上部马格达莱纳山谷东段具有相似成分和时间特征的相邻地块(Garzón和Macarena地块为局部东南部,上部马格达莱纳山谷地块和中央科迪勒拉东部;Ocal部分)。两段上下段的成分特征和碎屑年代学变化表明,源区发生了变化,与邻近隆起的侵蚀和枯竭有关,更远的东西源区主导地位日益增强,反映了构造不稳定的结束和盆地的加深。石英、长石和岩屑的存在对卡巴洛斯组砂岩的孔隙度和渗透率有重要影响。卡巴洛斯组下段孔隙度较低,成岩作用使丰富的长石和岩屑碎屑转化为自生充孔粘土。在卡巴洛上段发现较高的孔隙度和渗透率值,对应于较高的石英含量和晚期成岩作用中亚稳定组分的溶解。
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引用次数: 9
Finding a relationship between the composition and the emulsifying character of asphaltenes through FTICR-MS 通过FTICR-MS研究沥青质的组成与乳化特性之间的关系
Pub Date : 2018-06-15 DOI: 10.29047/01225383.90
F. Rojas-Ruiz, J. Orrego-Ruiz
In this work, n-heptane insoluble fractions (asphaltenes) from six crude oils were analyzed by means of Fourier-transform ion cyclotron resonance mass spectrometry (FTICR MS) using both positive Atmospheric Pressure Photo Ionization (+) APPI and negative Electro- Spray Ionization (-) ESI in order to understand their water-oil emulsion stabilization capability on a molecular level basis. Through (+) APPI it was possible to obtain an overview of samples composition. By sorting as nitrogen sulfur and oxygen containing compounds, it was possible to compositionally distinguish the asphaltenes. Through (-) ESI, several differences were also observed by grouping the classes as oxygen (NxOy+NxOySz+Oy+OySz) and non oxygen containing classes (Nx+NxSz). The interactions of these two groups of compounds must be considered in order to understand the water-oil emulsion stability. It implies that the cores where nitrogen and sulfur are part may interact via π-π stacking, while the oxygen containing compounds may interact either via hydrogen bonding or via dipole forces with the aromatic aggregates (highly polarizable), forming potentially surface active aggregates. Thus, the rate between these two families of compounds may determine the surfactant character of asphaltenes at the water-oil interface. Bearing this in mind, an emulsion stability coefficient was proposed based on the relative abundances of some families of compounds detected by (-) ESI-FTICR-MS to explain the crude oils’ tendency to form emulsions.
本文采用傅里叶变换离子回旋共振质谱(FTICR MS),利用正大气压光电离(+)APPI和负电喷雾电离(-)ESI对6种原油中的正庚烷不溶性组分(沥青烯)进行了分析,以期在分子水平上了解它们的水-油乳液稳定能力。通过(+)APPI可以获得样品组成的概述。通过对含氮、含硫、含氧化合物的分选,可以对沥青质的组成进行区分。通过(-)ESI,将其分类为含氧类(NxOy+NxOySz+Oy+OySz)和不含氧类(Nx+NxSz),也观察到一些差异。为了了解水-油乳液的稳定性,必须考虑这两类化合物的相互作用。这表明,含氮和硫的核可能通过π-π堆积相互作用,而含氧化合物可能通过氢键或偶极力与芳香聚集体(高度极化)相互作用,形成潜在的表面活性聚集体。因此,这两个化合物族之间的速率可以决定沥青质在水-油界面的表面活性剂特性。考虑到这一点,基于(-)ESI-FTICR-MS检测到的一些化合物家族的相对丰度,提出了乳状液稳定系数来解释原油形成乳状液的倾向。
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引用次数: 7
Estimation of Caving volumetric-flow using the ultrasonic Doppler method 用超声多普勒法估计崩落体流量
Pub Date : 2018-06-15 DOI: 10.29047/01225383.92
Jenny-Mabel Carvajal-Jiménez
Estimating the volumetric flow of cuttings and cavings that are extracted and transported by the drilling mud into the flow line while drilling a well is of major interest to for drillers so that they can understand the drilling conditions and maintain the wellbore stability. In this paper, a new method to estimate the volumetric flow of cavings via the Doppler effect is proposed. The proposed method is a non-invasive method that uses two piezo-electric acoustic sensors located on the flow line, one acting as an emitter and the other acting as a receiver. The system device estimates cavings and cuttings by measuring the mud and solids flow on a real-time basis. Results obtained at a laboratory experimental level reflected a maximum volumetric-flow error of 10.5% for small-sized cavings and 34,7% for large-sized cavings. According to those results, the method may be suitable for estimating cavingvolumetric-flow with acoustical techniques at the flow line while drilling and it might be used as a real-time operation method to evaluate wellbore stability.
在钻井过程中,钻井泥浆将岩屑和崩落物提取并输送到流线中,估算这些岩屑和崩落物的体积流量对钻井人员来说是非常重要的,这样他们就可以了解钻井条件并保持井筒稳定性。本文提出了一种利用多普勒效应估计崩落体流量的新方法。所提出的方法是一种非侵入式方法,该方法使用位于流线上的两个压电声传感器,一个作为发射器,另一个作为接收器。该系统设备通过实时测量泥浆和固体流动来估计崩落和岩屑。在实验室实验水平上获得的结果表明,小型崩落体的最大体积流量误差为10.5%,大型崩落体的最大体积流量误差为34.7%。研究结果表明,该方法可适用于随钻随流线声学技术估算崩落体流量,并可作为评价井筒稳定性的实时作业方法。
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引用次数: 0
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CT&F - Ciencia, Tecnología y Futuro
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