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Alluvium refers to materials deposited by rivers. It includes sand, clay, or mud deposited as sediment that has carried by and deposited from running water on riparian land.
The following is an example of a case law on alluvium:
Alluvium is a deposit of soil, clay, or other material caused by running water; esp., in land law, an addition of land caused by the buildup of deposits from running water, the added land then belonging to the owner of the property to which it is added. [Kellar v. Silver Cove Condo. Ass'n, 2003 Mich. App. LEXIS 1705 (Mich. Ct. App. 2003)].