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A Mathematical Model of Troposphere Water Vapor Tomography

机译：对流层水蒸汽断层扫描的数学模型

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The tomographical contribution of the Global Positioning System (GPS) is possible due to methods of high precision detection of tropospheric delays of navigation signals from the satellites to the receivers. A system of linear equations with rectangular matrices is considered as the mathematical model of troposphere water vapor distribution. The authors use numerical simulation as the most time- and cost-efficient way to study the different processes related to this model to realize the tropospheric water vapor tomography. The possible mathematical approach to construct the virtual ground-based sensors (GPS-receivers) network for a real geographical location and discretization of the troposphere are described. The output of tomographical modeling of the troposphere might be applied to improve the results of large scale numerical weather prediction models but also real-time navigation. The questions of voxel geometry and methods of data processing are expected as further key questions in constructing an effective GPS-receiver network for water vapor tomography.
机译：由于高精度地检测来自卫星从卫星到接收器的导航信号的对流层延迟的方法，可以实现全球定位系统（GPS）的折叠贡献。具有矩形矩阵的线性方程系统被认为是对流层水蒸气分布的数学模型。作者使用数值模拟作为研究与该模型相关的不同过程的最具时间和经济高效的方式，以实现对流层水蒸汽断层扫描。描述了构建虚拟地基传感器（GPS接收器）网络的可能的数学方法，用于实际地理位置和对流层的离散化。对流层的自动图形建模的产量可能适用于改善大规模数值天气预报模型的结果，还可以应用实时导航。预计体素几何和数据处理方法的问题是在构建用于水蒸汽断层扫描的有效GPS接收网络方面的进一步关键问题。

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