The weighted multi-scale connections networks for macrodispersivity estimation

IF 3.5 3区 环境科学与生态学 Q2 ENVIRONMENTAL SCIENCES
Zhengkun Zhou, Kai Ji
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引用次数: 0

Abstract

Macrodispersivity is critical for predicting solute behaviors with dispersive transport models. Conventional methods of estimating macrodispersivity usually need to solve flow equations and are time-consuming. Convolutional neural networks (CNN) have recently been proven capable of efficiently mapping the hydraulic conductivity field and macrodispersivity. However, the mapping accuracy still needs further improvement. In this paper, we present a new network shortcut connection style called weighted multi-scale connections (WMC) for convolutional neural networks to improve mapping accuracy. We provide empirical evidence showing that the WMC can improve the performance of CNN in macrodispersivity estimation by implementing the WMC in CNNs (CNN without short-cut connections, ResNet, and DenseNet), and evaluating them on datasets of macrodispersivity estimation. For the CNN without short-cut connections, the WMC can improve the estimating R2 by at least 3% on three datasets of conductivity fields. For ResNet18, the WMC improved the estimated R2 by an average of 2.5% on all three datasets. For ResNet34, the WMC improved the estimated R2 by an average of 5.6%. For ResNet50, the WMC improved the estimated R2 by an average of 16%. For ResNet101, the WMC improved the estimating R2 by an average of 30%. For DenseNets, the improved estimated R2 ranges from 0.5% to 5%. The WMC can strengthen feature propagation of different sizes and alleviate the vanishing-gradient issue. Moreover, it can be implemented to any CNN with down-sampling layers or blocks.

用于宏观分散性估算的加权多尺度连接网络
宏观分散性对于利用分散迁移模型预测溶质行为至关重要。估算宏观分散性的传统方法通常需要求解流动方程,非常耗时。最近的研究证明,卷积神经网络(CNN)能够有效地映射水力传导场和宏观分散性。然而,其映射精度仍有待进一步提高。在本文中,我们为卷积神经网络提出了一种新的网络快捷连接方式--加权多尺度连接(WMC),以提高映射精度。我们通过在 CNN(无捷径连接的 CNN、ResNet 和 DenseNet)中实现 WMC,并在宏观分散性估计数据集上对它们进行评估,提供了实证证据,证明 WMC 可以提高 CNN 在宏观分散性估计中的性能。对于无短切连接的 CNN,WMC 可在三个电导率场数据集上将估计 R2 提高至少 3%。对于 ResNet18,WMC 在所有三个数据集上的估计 R2 平均提高了 2.5%。对于 ResNet34,WMC 将估计 R2 平均提高了 5.6%。对于 ResNet50,WMC 将估计 R2 平均提高了 16%。对于 ResNet101,WMC 将估计 R2 平均提高了 30%。对于 DenseNets,估计 R2 的改进幅度在 0.5% 到 5% 之间。WMC 可以加强不同大小的特征传播,缓解梯度消失问题。此外,它还可以应用于任何具有向下采样层或块的 CNN。
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来源期刊
Journal of contaminant hydrology
Journal of contaminant hydrology 环境科学-地球科学综合
CiteScore
6.80
自引率
2.80%
发文量
129
审稿时长
68 days
期刊介绍: The Journal of Contaminant Hydrology is an international journal publishing scientific articles pertaining to the contamination of subsurface water resources. Emphasis is placed on investigations of the physical, chemical, and biological processes influencing the behavior and fate of organic and inorganic contaminants in the unsaturated (vadose) and saturated (groundwater) zones, as well as at groundwater-surface water interfaces. The ecological impacts of contaminants transported both from and to aquifers are of interest. Articles on contamination of surface water only, without a link to groundwater, are out of the scope. Broad latitude is allowed in identifying contaminants of interest, and include legacy and emerging pollutants, nutrients, nanoparticles, pathogenic microorganisms (e.g., bacteria, viruses, protozoa), microplastics, and various constituents associated with energy production (e.g., methane, carbon dioxide, hydrogen sulfide). The journal''s scope embraces a wide range of topics including: experimental investigations of contaminant sorption, diffusion, transformation, volatilization and transport in the surface and subsurface; characterization of soil and aquifer properties only as they influence contaminant behavior; development and testing of mathematical models of contaminant behaviour; innovative techniques for restoration of contaminated sites; development of new tools or techniques for monitoring the extent of soil and groundwater contamination; transformation of contaminants in the hyporheic zone; effects of contaminants traversing the hyporheic zone on surface water and groundwater ecosystems; subsurface carbon sequestration and/or turnover; and migration of fluids associated with energy production into groundwater.
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