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相关概念视频

Residuals and Least-Squares Property01:11

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The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
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The Region of Convergence (ROC) is a fundamental concept in signal processing and system analysis, particularly associated with the Laplace transform. The ROC represents an area in the complex plane where the Laplace transform of a given signal converges, determining the transform's applicability and utility.
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A calibration curve is a plot of the instrument's response against a series of known concentrations of a substance. This curve is used to set the instrument response levels, using the substance and its concentrations as standards. Alternatively, or additionally, an equation is fitted to the calibration curve plot and subsequently used to calculate the unknown concentrations of other samples reliably.
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During leveling, the Earth's curvature and atmospheric refraction introduce deviations in the line of sight from a true horizontal reference. When the line of sight is leveled, it remains perpendicular to the plumb line only at a single point. Beyond this, it deviates due to the Earth’s curvature, represented by the correction C. For a sight distance D, the deviation can be derived using the relationship:This relationship shows that the deviation increases quadratically with distance. Over a...
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Deformation occurs in axial and transverse directions when an axial load is applied to a slender bar. This deformation impacts the cubic element within the bar, transforming it into either a rectangular parallelepiped or a rhombus, contingent on its orientation. This transformation process induces shearing strain. Axial loading elicits both shearing and normal strains. Applying an axial load instigates equal normal and shearing stresses on elements oriented at a 45° angle to the load axis.
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Elastic Strain Energy for Normal Stresses

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Strain energy quantifies the energy stored within a material due to deformation under loading conditions, a fundamental concept in materials science and engineering. The strain energy can be modeled when a material is subjected to axial loading with uniformly distributed stress. In this scenario, the stress experienced by the material is the internal force divided by the cross-sectional area, and the strain induced is directly proportional to this stress through the modulus of elasticity.
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地震反射率逆转与混合的L1-L2规范调节.

Jun Yang1, Ronghuo Dai2, Yang Ma3

  • 1School of Mathematics, Zunyi Normal College, Zunyi, 563006, China. yangjunandy2025@163.com.

Scientific reports
|November 25, 2025
PubMed
概括
此摘要是机器生成的。

这项研究引入了一个新的混合规范规范化用于地震反射率逆转 (SRI),提高矿产资源勘探的准确性和分辨率. 该方法增强了小型反射功率组件,同时保持了稀疏性,以便更好地进行地下成像.

关键词:
预测矿产储量预测矿产储量预测混合L1-L2规范 混合L1-L2规范发生地震的反射率逆转.稀疏的规范化 稀疏的规范化

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科学领域:

  • 地质物理学 地质物理学
  • 处理地震数据的地震数据.
  • 逆转技术是一种逆转技术.

背景情况:

  • 地震反射率逆转 (SRI) 对于矿产资源勘探和水库预测至关重要.
  • 传统的稀疏SRI方法面临着残余振荡和小反射功率组件保存不良的挑战.
  • 现有的方法难以平衡大特征的稀疏性和小变化的光滑性.

研究的目的:

  • 开发一种改进的地震反射率逆转 (SRI) 方法,解决当前稀疏规范化技术的局限性.
  • 引入一种新的混合规范规范化方法,以提高地震数据解释的分辨率和准确性.
  • 通过完善地震反射分析来改善地下矿产资源的估计.

主要方法:

  • 为SRI开发了一种新的混合规范规范化方法,将模型的L1-规范和L2-规范纳入.
  • 将模型梯度的L2规范集成到混合规范中,以提高垂直光滑度,考虑到渐进的地质变化.
  • 调整了一个权重参数,以平衡L1和L2规范化,控制溶液稀疏性和保留小反射功率组件.

主要成果:

  • 合成测试表明,混合L1-L2规范逆转比单一规范方法产生更紧和更准确的反射率分布.
  • 与传统的SRI相比,拟议的方法实现了更高的垂直分辨率,并最大限度地降低了模型值的低估.
  • 使用中国西部地震数据的实地测试证实了算法的有效性,显示了反射率序列的增强垂直限制.

结论:

  • 混合L1-L2规范规范化为地震反射率逆转提供了一个强大的框架,克服了传统稀疏方法的局限性.
  • 这种方法有效地将主要反射性特征的稀疏性与小组件的光滑性相协调,从而导致更可靠的地质解释.
  • 增强的垂直分辨率和精度使这种方法在采矿工程和矿藏预测方面非常有价值.