The present study for the first time quantitatively investigates the acute pollution of the Yamuna River, focusing on the diffusion of heavy metals from industrial effluents into groundwater, surrounding soils, and crops, and its subsequent impact on human health. Owing to the unplanned discharge of the untreated effluents, the river exhibits heavy metal concentrations exceeding Indian standards. Utilizing 1-D diffusion transport models, Heavy metal pollution indices (HPI), and transfer factor (TF) for two different locations, it was understood that diffusion is a dominant mechanism that allows the heavy metals from the river to pollute the surrounding geology. The HPI in the groundwater was more than 200 at the studied locations indicating severe contamination of the groundwater, moreover, the TF of the crops through the soil was more than unity for various heavy metals present, viz., Cr, Cu, Zn, Cd, and Hg. The estimated apparent diffusion coefficient (Da) was also found to be very high for these metals that lay in the range of 4.8×10-10 – 9.9×10-10 m2/s. The time necessary to migrate from the river to the crops was the least for Hg. The suitability of the crops for ingestion post-diffusion was further assessed by estimating the Daily Intake of Metals (DIM). The DIM reveals that the crops are highly unsuitable for children and adults as the values exceed the standard limits. Such a high migration rate of heavy metals from the river to the surrounding geology needs attenuation at the source to restrict migration. The evaluated apparent Da and migration times of heavy metals would provide critical insights for designing effective barrier systems to mitigate contamination.