Not depicted: the Nahr al-Yahudi, between the Nahr al-Ubulla and the Nahr Abu al-Khasib.
Background map is from Le Strange, Lands, Map II. The information on the canals comes from Le Strange, Ibn Serapion, pp. 297, 299-300, 303-307.
References:
Le Strange, Guy. "Description of Mesopotamia and Baghdad, written about the year 900 A.D. by Ibn Serapion." The Journal of the Royal Asiatic Society of Great Britain and Ireland for 1895. London: Royal Asiatic Society, 1895.
Le Strange, Guy. The Lands of the Eastern Caliphate: Mesopotamia, Persia, and Central Asia, from the Moslem conquest to the time of Timur. Cambridge: Cambridge University Press, 1905.
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