An iterative method for calculating the land water fraction recycling rate

By treating the global oceans and land as homogeneous water cycle units, an iterative equation system was constructed and mathematical transformations were performed to solve the problem of accurately quantifying the water recycling rate of the ocean and land on a global scale, thus achieving unified quantification and a deeper understanding of global water cycle research.

CN121614708BActive Publication Date: 2026-06-26STATE QIHOU CENT
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Patent Information

Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
STATE QIHOU CENT
Filing Date
2025-12-04
Publication Date
2026-06-26

AI Technical Summary

Technical Problem

Existing technologies are insufficient to accurately quantify the land-sea water recycling rate on a global scale, and the proportion of water vapor evaporating from the ocean and land returning to its source to form precipitation has not been systematically incorporated into the global water cycle quantitative assessment framework, resulting in a key theoretical gap in the study of land-sea air-water balance.

Method used

By treating the global ocean and land as two homogeneous water cycle units, we construct an infinite series of equations by iteratively decomposing the transport of evaporating water vapor and precipitation processes. Through mathematical transformation, we convert these equations into a system of algebraic equations that can be solved analytically, and accurately solve for the water recycling rate between the ocean and land.

Benefits of technology

This achievement enables direct and unified quantification of water recycling processes on a global scale, filling a gap in existing research, providing new key quantitative tools, and deepening the understanding of global water cycle dynamics and supporting water resource management.

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Abstract

The application discloses an iterative method for calculating sea-land water recycling rate, which comprises the following steps: according to the water conservation principle, respectively performing iterative decomposition on the ocean evaporation and the land evaporation, obtaining water vapor transport equation and precipitation equation variables, obtaining water vapor transport simplified equation and precipitation simplified equation through variable replacement and simplification, substituting the ocean water cycle elements and the land water cycle elements in the to-be-calculated period into the water vapor transport simplified equation and the precipitation simplified equation, solving the evaporation recycling rate, establishing a recycling rate balance equation according to the water conservation physical law, and calculating the precipitation recycling rate according to the ocean water cycle elements, the land water cycle elements and the evaporation recycling rate in the to-be-calculated period. The method can accurately calculate the ocean water recycling rate and the land water recycling rate, and can solve the difficult problem of including recycling into the global hydrological cycle evaluation.
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