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                                                                    EXHIBIT 23.4
 
                   CONSENT OF INDEPENDENT PUBLIC ACCOUNTANTS

   
As independent public accountants, we hereby consent to the incorporation by
reference in this Registration Statement on Form S-3 (No. 333-61039) of our
report dated March 18, 1999 relating to the financial statements of Poseidon Oil
Pipeline Company, L.L.C., as of December 31, 1998 and 1997 and for the years
ended December 31, 1998 and 1997 and the period from inception (February 14,
1996) through December 31, 1996, included in Leviathan Gas Pipeline Partners,
L.P.'s Annual Report on Form 10-K for the year ended December 31, 1998, and to
all references to our Firm included in this Registration Statement.
    


/s/ ARTHUR ANDERSEN LLP

Houston, Texas

   
May 3, 1999