Most of the potential hydrocarbon reserves are indeed offshore but there are economic onshore resources of both oil and gas, with oil being more likely onshore than it is offshore.
If I am reading the tables correctly, the onshore concessions that Zion holds would fall under the sediment type called Levant Margin Reservoirs AU in the document.
Assessment of Undiscovered Oil and Gas Resources of the Levant Basin Province, Eastern Mediterranean
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