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Note 3 - Acquisitions for Units (Details Textual)
$ in Thousands
 2 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Sep. 29, 2023
USD ($)
a
shares
Aug. 31, 2023
USD ($)
a
shares
Jul. 12, 2023
USD ($)
a
shares
Sep. 30, 2022
USD ($)
a
shares
Mar. 31, 2022
USD ($)
a
shares
Aug. 31, 2023
USD ($)
a
Sep. 29, 2023
USD ($)
a
Jul. 12, 2023
USD ($)
a
Sep. 30, 2023
USD ($)
Sep. 30, 2022
USD ($)
a
Dec. 31, 2022
USD ($)
Number Of Counties In Which Entity Operates                 593    
Asset Acquisition Consideration Transferred Royalty and Mineral Revenue Received                 $ 2,006 $ 1,825  
Oil and Gas Property, Full Cost Method, Net                 127,867   $ 112,250
dmlp_Mineral And Royalty Interest [Member] | Partnership Interest [Member]                      
Asset Acquisition Consideration Transferred Royalty and Mineral Revenue Received                   $ 900  
An Unrelated Third Party [Member] | dmlp_Mineral And Royalty Interest [Member]                      
Area of Real Estate Property (Acre) | a 716           716        
Number Of Counties In Which Entity Operates 3           3        
Asset Acquisition, Consideration Transferred, Equity Interest Issued and Issuable, Number of Shares (in shares) | shares 494,000                    
Asset Acquisition, Consideration Transferred, Equity Interest Issued and Issuable $ 14,400                    
Asset Acquisition Consideration Transferred Royalty and Mineral Revenue Received             $ 800   800    
Oil and Gas Property, Full Cost Method, Net                 13,300    
Multiple Unrelated Third Party [Member] | dmlp_Mineral And Royalty Interest [Member]                      
Area of Real Estate Property (Acre) | a   568       568          
Number Of Counties In Which Entity Operates   3       3          
Asset Acquisition, Consideration Transferred, Equity Interest Issued and Issuable, Number of Shares (in shares) | shares   374,000                  
Asset Acquisition, Consideration Transferred, Equity Interest Issued and Issuable   $ 10,400                  
Asset Acquisition Consideration Transferred Royalty and Mineral Revenue Received           $ 200     200    
Oil and Gas Property, Full Cost Method, Net                 10,200    
Excess Energy, LLC [Member] | dmlp_Mineral And Royalty Interest [Member]                      
Area of Real Estate Property (Acre) | a     900 2,100       900   2,100  
Number Of Counties In Which Entity Operates     13 12       13   12  
Asset Acquisition, Consideration Transferred, Equity Interest Issued and Issuable, Number of Shares (in shares) | shares     343,750 816,719              
Asset Acquisition, Consideration Transferred, Equity Interest Issued and Issuable     $ 11,000 $ 20,400              
Asset Acquisition Consideration Transferred Royalty and Mineral Revenue Received               $ 600 500 $ 900  
Oil and Gas Property, Full Cost Method, Net                 $ 10,500   19,000
Costs Incurred, Acquisition of Unproved Oil and Gas Properties                     1,800
Unrelated Third Parties [Member] | dmlp_Mineral And Royalty Interest [Member]                      
Area of Real Estate Property (Acre) | a         3,600            
Number Of Counties In Which Entity Operates         13            
Asset Acquisition, Consideration Transferred, Equity Interest Issued and Issuable, Number of Shares (in shares) | shares         570,000            
Asset Acquisition, Consideration Transferred, Equity Interest Issued and Issuable         $ 14,800            
Oil and Gas Property, Full Cost Method, Net                     $ 14,000