## Horizontally Layered(水平分层)研究综述

Horizontally Layered 水平分层 - Most models that investigate magma paths assume the crust to be either homogeneous or horizontally layered, often composed of rocks of contrasting mechanical properties.^{[1]}However, the overall consolidation rates also depend largely on the prescribed scales of fluctuation; in cases where the variation is horizontally layered, stagnation in pore pressure dissipation may occur due to soft parts yielding.

^{[2]}Simulation results show isotropic stress and strain distribution in the horizontally layered, isotropic part of the model that is totally covered by the ice.

^{[3]}The vast majority of models that investigate magma paths assume the crust to be either homogeneous or horizontally layered, often composed of rocks of contrasting mechanical properties.

^{[4]}The proposed technique is suitable when the soil can be considered as horizontally layered.

^{[5]}, horizontally layered, the notches are always well-defined and deep, but in a complex earth, they become blurry in some of the gather types.

^{[6]}We present two deep neural networks which are able to simulate the seismic response at multiple locations in horizontally layered and faulted 2-D acoustic media an order of magnitude faster than traditional finite difference modelling.

^{[7]}

大多数研究岩浆路径的模型都假设地壳是均质的或水平分层的，通常由具有对比力学特性的岩石组成。

^{[1]}然而，整体整合率也很大程度上取决于规定的波动幅度；在水平分层变化的情况下，由于软部件屈服，孔隙压力耗散可能会出现停滞。

^{[2]}模拟结果显示了模型的水平分层、各向同性部分完全被冰覆盖的各向同性应力和应变分布。

^{[3]}绝大多数研究岩浆路径的模型都假设地壳是均质的或水平分层的，通常由具有不同机械特性的岩石组成。

^{[4]}当土壤可以被认为是水平分层时，所提出的技术是合适的。

^{[5]}，水平分层，槽口总是清晰而深，但在复杂的地球中，它们在某些道集类型中变得模糊。

^{[6]}我们提出了两个深度神经网络，它们能够模拟水平分层和断层二维声学介质中多个位置的地震响应，比传统的有限差分建模快一个数量级。

^{[7]}

## horizontally layered model 水平分层模型

Since the representation of multistation surface wave dispersion curves (DCs) is uncertain in laterally varying media, average information beneath the receiver array is assumed to be obtained by inverting the dispersion curves with a horizontally layered model.^{[1]}However, a critical problem associated with the SWMs is that using a horizontally layered model assumption in inversion may introduce blurred errors into 2D Vs imaging due to the presence of lateral variations.

^{[2]}In this study, we present a method to numerically calculate the rotational motion and RIMFs excited by a seismic source in a horizontally layered model.

^{[3]}The work is devoted to the development of an experimental test stand for determining the forearm tissues resistivity in-vivo based on a horizontally layered model of electrical impedance signal formation.

^{[4]}At this stage, the interpretation was performed using computer systems within the framework of a horizontally layered model.

^{[5]}Scattering superficial anomalies influence was estimated by means of 2D ray tracing and synthetic shot records generation on horizontally layered model sectionconsisting near surface ancient karst spot.

^{[6]}The feasibility of our algorithm is verified by a horizontally layered model.

^{[7]}An inverse problem soultion program code is developed, capable of recovering the Biot modulus and Biot coefficient, as well as the permeability coefficient in a horizontally layered model.

^{[8]}

由于多站面波频散曲线（DC）的表示在横向变化的介质中是不确定的，因此假设接收器阵列下方的平均信息是通过用水平分层模型反转频散曲线来获得的。

^{[1]}然而，与 SWM 相关的一个关键问题是，由于存在横向变化，在反演中使用水平分层模型假设可能会在 2D Vs 成像中引入模糊误差。

^{[2]}在这项研究中，我们提出了一种数值计算水平分层模型中震源激发的旋转运动和 RIMF 的方法。

^{[3]}这项工作致力于开发一种基于电阻抗信号形成的水平分层模型来确定体内前臂组织电阻率的实验测试台。

^{[4]}在这个阶段，解释是在水平分层模型的框架内使用计算机系统进行的。

^{[5]}在近地表古岩溶点组成的水平分层模型剖面上，通过二维射线追踪和合成炮记录生成，估计了散射表面异常的影响。

^{[6]}通过水平分层模型验证了我们算法的可行性。

^{[7]}开发了逆问题求解程序代码，能够恢复水平分层模型中的Biot模量和Biot系数，以及渗透系数。

^{[8]}

## horizontally layered medium 水平分层介质

An efficient numerical method is presented to simulate the thin wire structures with multilayered coating in the horizontally layered media.^{[1]}A computational scheme based on the finite element method has been developed to simulate the propagation of a time-harmonic electromagnetic field excited by a logging tool coil in a horizontally layered medium.

^{[2]}In order to analyze the frequency periodicity characteristics of acoustic field interference and realize acoustic source ranging (ASR), the normal mode model is used to analyze the interference characteristics of the broadband acoustic field under the condition of horizontally layered medium; the broadband received signal field when the broadband pulse signal passes through the acoustic field is also simulated.

^{[3]}The proposed method is illustrated at the hand of the numerically modeled reflection response of a horizontally layered medium.

^{[4]}The results of mathematical modeling of electrical soundings with the AMNB (Schlumberger, Wenner) arrays and the proposed combined AMN + NMA array above horizontally layered medium and including a ball medium are presented.

^{[5]}The authors present a method that accounts for the thickness and electrical conductivity of individual beds in a vertically-inhomogeneous, horizontally layered medium (the most practically appropriate case).

^{[6]}Three-dimensional objects have differences by some electrodynamic parameters with a horizontally layered medium.

^{[7]}Previously derived reflection coefficient equations are limited to the assumption of a horizontally layered medium, which may be not suitable for orthorhombic media.

^{[8]}

提出了一种有效的数值方法来模拟水平分层介质中具有多层涂层的细线结构。

^{[1]}已经开发了一种基于有限元方法的计算方案来模拟由测井工具线圈激发的时谐电磁场在水平分层介质中的传播。

^{[2]}为分析声场干扰的频率周期性特征，实现声源测距（ASR），采用正常模式模型分析了水平层状介质条件下宽带声场的干扰特性；还模拟了宽带脉冲信号通过声场时的宽带接收信号场。

^{[3]}所提出的方法在水平分层介质的数值模拟反射响应的手边进行了说明。

^{[4]}给出了使用 AMNB（Schlumberger，Wenner）阵列和提议的组合 AMN + NMA 阵列在水平分层介质上方并包括球介质的电测深数学建模结果。

^{[5]}作者提出了一种计算垂直不均匀水平分层介质中单个床层的厚度和电导率的方法（最实用的情况）。

^{[6]}三维物体与水平分层介质存在一些电动力学参数的差异。

^{[7]}先前导出的反射系数方程仅限于水平分层介质的假设，这可能不适用于正交介质。

^{[8]}

## horizontally layered ground

Presented is an application of wave potential formulation (WPF) together with domain reduction method (DRM) to modeling earthquake soil structure interaction (ESSI) behavior in horizontally layered ground under inclined incident seismic waves.^{[1]}A faster computational scheme is proposed to determine multimodal dispersion plots using the stiffness matrix method (SMM) for Rayleigh wave propagation in horizontally layered ground media.

^{[2]}

介绍了波势公式 (WPF) 与域缩减法 (DRM) 一起在倾斜入射地震波下水平分层地面的地震土壤结构相互作用 (ESSI) 行为建模中的应用。

^{[1]}提出了一种更快的计算方案，用于使用刚度矩阵法 (SMM) 确定水平分层地面介质中瑞利波传播的多模态频散图。

^{[2]}

## horizontally layered visco

The response of the underlying soil is represented through a dynamic stiffness matrix, obtained via the Green’s function for a horizontally layered visco-elastic strata in a moving frame of reference in the frequency– wavenumber domain.^{[1]}The response of the underlying soil is represented through a dynamic stiffness matrix, obtained via the Green’s function for a horizontally layered visco-elastic half-space in a moving frame of reference in the frequency–wavenumber domain.

^{[2]}

下伏土壤的响应通过动态刚度矩阵表示，该矩阵是通过格林函数在频波数域中移动参考系中的水平分层粘弹性地层获得的。

^{[1]}下伏土壤的响应通过动态刚度矩阵表示，该矩阵通过格林函数在频率-波数域中移动参考系中的水平分层粘弹性半空间获得。

^{[2]}

## horizontally layered subsurface

In particular, the inversion facilitates separation of 1D scattering versus inelastic absorption in the horizontally layered subsurface.^{[1]}In particular, the inversion facilitates separation of 1D scattering versus inelastic absorption in the horizontally layered subsurface.

^{[2]}

特别是，反演促进了水平分层地下中一维散射与非弹性吸收的分离。

^{[1]}特别是，反演促进了水平分层地下中一维散射与非弹性吸收的分离。

^{[2]}

## horizontally layered soil 水平分层土壤

Evolutionary methods can be used for the determination of the parameters of a horizontally layered soil model.^{[1]}On the one hand, the global sampling method cannot accurately approximate the integral kernel of Green’s function in complicated horizontally layered soils with many thick layers, which would cause large calculation errors or divergent results.

^{[2]}

演化方法可用于确定水平分层土壤模型的参数。

^{[1]}一方面，全局采样方法无法准确逼近具有多厚层的复杂水平层状土壤中格林函数的积分核，从而导致计算误差大或结果发散。

^{[2]}