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Loans Payable - Note 2 - Monaco 2016 - Additional Information (Detail)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Oct. 24, 2021
USD ($)
Dec. 10, 2015
USD ($)
Mar. 31, 2018
USD ($)
Mar. 31, 2016
USD ($)
Installment
$ / shares
Sep. 30, 2021
USD ($)
$ / shares
shares
Sep. 30, 2020
USD ($)
Sep. 30, 2021
USD ($)
$ / shares
shares
Sep. 30, 2020
USD ($)
Dec. 31, 2019
USD ($)
Dec. 31, 2017
USD ($)
Dec. 31, 2020
USD ($)
Apr. 01, 2018
Oct. 01, 2016
USD ($)
Debt Instrument [Line Items]                          
Aggregate amount issuable                         $ 3,000,000.0
Conversion price of Notes | $ / shares         $ 4.67   $ 4.67            
Loans payable         $ 44,673,808   $ 44,673,808       $ 42,593,268    
Gain (loss) on debt extinguishment         $ 374,835 $ (777,484) $ 374,835 $ (777,484) $ (290,024)        
Second Tranche [Member]                          
Debt Instrument [Line Items]                          
Debt instrument maturity date   Dec. 31, 2017                      
Third Tranche [Member]                          
Debt Instrument [Line Items]                          
Debt instrument maturity date   Dec. 31, 2017                      
Marine Vessel [Member]                          
Debt Instrument [Line Items]                          
Cash proceeds from sale of vessel                   $ 650,000      
Loan Modification [Member]                          
Debt Instrument [Line Items]                          
Conversion price of Notes | $ / shares         $ 1.00   $ 1.00            
Loans payable         $ 2,800,000   $ 2,800,000            
Gain (loss) on debt extinguishment             $ 1,200,000            
Loan Modification [Member] | First Tranche [Member]                          
Debt Instrument [Line Items]                          
Convertible notes payable   $ 5,000,000                      
Agreement description             Monaco agreed to cease interest as of December 10, 2015 and reduce the loan balance by (i) the cash or other value received from the SS Central America shipwreck project (“SSCA”) or (ii) if the proceeds received from the SSCA project were insufficient to pay off the loan balance by December 31, 2017, then Monaco could seek repayment of the remaining outstanding balance on the loan by withholding Odyssey’s 21.25% “additional consideration” in new shipwreck projects performed for Monaco in the future.            
Additional consideration percentage   21.25%                      
Loan Modification [Member] | Second Tranche [Member]                          
Debt Instrument [Line Items]                          
Aggregate amount issuable   $ 300,000                      
Convertible notes payable   2,500,000                      
Reduced principal amount   2,200,000                      
Loan Modification [Member] | Third Tranche [Member]                          
Debt Instrument [Line Items]                          
Convertible notes payable   $ 2,500,000                      
Loan Modification [Member] | Oceanica Resources S. de. R.L [Member]                          
Debt Instrument [Line Items]                          
Debt instrument maturity date             Dec. 31, 2017            
Equity component in loans payable         $ 3,174,603   $ 3,174,603            
Debt instrument, number of shares | shares             3,174,603            
Debt instrument, value of shares             $ 3,174,603            
Loan Modification [Member] | Monaco [Member]                          
Debt Instrument [Line Items]                          
Number of options eliminated under share purchase option | shares         3,174,603   3,174,603            
Per share value of shares purchased by private investor | $ / shares         $ 3.15   $ 3.15            
Note 2 [Member]                          
Debt Instrument [Line Items]                          
Aggregate amount issuable       $ 1,825,000                  
Interest rate, stated percentage       10.00%                  
Debt instrument maturity date       Apr. 15, 2018                  
Outstanding notes balance         $ 1,175,000   $ 1,175,000       $ 1,175,000    
Loans payable, repayment                   $ 650,000      
BCF amount recorded     $ 456,250                    
Accrued interest         $ 67,454 $ 67,454 $ 200,163 $ 200,896          
Debt default interest rate         18.00%   18.00%         18.00%  
Note 2 [Member] | Subsequent Event [Member] | Loan Termination Agreement With Monaco Financial, LLC and Certain Associated Entities [Member]                          
Debt Instrument [Line Items]                          
Extinguishment of Debt principle and accrued interest $ 2,400,000                        
Note 2 [Member] | Oceanica Resources S. de. R.L [Member]                          
Debt Instrument [Line Items]                          
Conversion price of Notes | $ / shares       $ 1.00                  
Note 2 [Member] | Exploraciones Oceanicas [Member]                          
Debt Instrument [Line Items]                          
Aggregate amount issuable       $ 18,000,000.0                  
Debt instrument maturity date       Sep. 25, 2015                  
Note 2 [Member] | Oceanica Marine Operations [Member]                          
Debt Instrument [Line Items]                          
Aggregate amount issuable       $ 9,300,000                  
Debt instrument term       30 days                  
Aggregate consideration payable       $ 1,800,000                  
Debt instrument number of installments | Installment       10                  
Installment amount of Notes       $ 750,000                  
Equipment carrying value       $ 100,000