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Other Intangibles (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Other Intangible Assets [Line Items]      
Accumulated Amortization $ (8,949,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization $ (7,885,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization  
Intangible assets, gross 20,298,000us-gaap_IntangibleAssetsGrossExcludingGoodwill 20,259,000us-gaap_IntangibleAssetsGrossExcludingGoodwill  
Intangible assets, net 11,349,000us-gaap_IntangibleAssetsNetExcludingGoodwill 12,374,000us-gaap_IntangibleAssetsNetExcludingGoodwill [1]  
Rights-of-Way [Member]      
Other Intangible Assets [Line Items]      
Rights-of-way assets 8,071,000us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_RightsofWayMember
8,032,000us-gaap_IndefiniteLivedIntangibleAssetsExcludingGoodwill
/ us-gaap_IndefiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_RightsofWayMember
 
Supply contracts [Member]      
Other Intangible Assets [Line Items]      
Estimated useful life (years) 11 years 6 months    
Intangible Assets, Gross 12,227,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
12,227,000us-gaap_FiniteLivedIntangibleAssetsGross
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
 
Accumulated Amortization (8,949,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
(7,885,000)us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
 
Intangible assets, net 3,278,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
4,342,000us-gaap_FiniteLivedIntangibleAssetsNet
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
 
Amortization expense 1,100,000us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
1,100,000us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
1,100,000us-gaap_AmortizationOfIntangibleAssets
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
Amortization Expense, 2015   1,100,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseNextTwelveMonths
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
 
Amortization Expense, 2016   1,100,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearTwo
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
 
Amortization Expense, 2017   $ 1,100,000us-gaap_FiniteLivedIntangibleAssetsAmortizationExpenseYearThree
/ us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis
= dkl_SupplyContractsMember
 
[1] Includes the historical balances of the El Dorado Terminal and Tank Assets. See Notes 1 and 3 for further discussion.