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Incorporating Snowmelt into Daily Estimates of Recharge Using a State-Space Model of Infiltration
Allen M Shapiro1, Frederick D Day-Lewis2, William M Kappel3
1U.S. Geological Survey, Water Mission Area, Earth Systems Processes Division-Water Cycle Branch, 12201 Sunrise Valley Drive, Mail Stop 431, Reston, VA, 20192, USA.
This study introduces a state-space model (SSM) for estimating daily groundwater recharge. The model, using Kalman Filter (KF) assimilation, reveals insights into preferential flow and potential errors in snowmelt data.
Area of Science:
- Hydrology
- Hydrogeology
- Water Resource Management
Background:
- Groundwater recharge estimation is crucial for water resource management.
- Traditional methods often lack the temporal resolution and data integration capabilities for real-time assessments.
- Understanding infiltration dynamics, including diffuse and preferential flow, is key to accurate recharge modeling.
Purpose of the Study:
- To develop and demonstrate a state-space model (SSM) coupled with a Kalman Filter (KF) for daily groundwater recharge estimation.
- To assimilate time-series of groundwater-level altitude and meteorological data for improved recharge predictions.
- To identify potential discrepancies between meteorological inputs and observed hydraulic head data.
Main Methods:
- A state-space model (SSM) was developed to simulate infiltration, incorporating diffuse and preferential flow pathways.
- The SSM was integrated with the Kalman Filter (KF) to assimilate real-time hydraulic head and meteorological observations.
- Model parameters were estimated seasonally, and the model was applied to daily data from two bedrock wells in New York.
Main Results:
- The model successfully estimated daily groundwater recharge, capturing preferential flow events during winter and spring from precipitation and snowmelt.
- Annual recharge estimates aligned with those from previous groundwater flow and surface-process models.
- Discrepancies between modeled snowmelt rates and observed hydraulic head indicated potential errors in meteorological input data.
Conclusions:
- The coupled SSM and KF approach provides a robust method for real-time groundwater recharge estimation.
- The study highlights the importance of accurate meteorological data, particularly snowmelt, for reliable recharge modeling.
- The model's ability to detect input data inconsistencies offers a valuable tool for data quality assessment in hydrological studies.
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