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In this paper, I propose the scaling relation W C 1 L β (where β ≈ 2=3)to describe the scaling of rupture width with rupture length. I also propose a new displacement relation, where A is the area (LW). By substituting these equations into the definition of seismic moment (M 0 μ DLW), I have developed a series of self-consistent equations that describe the scaling between seismic moment, rupture area, length, width, and average displacement. In addition to β, the equations have only two variables, C 1 and C 2 , which have been estimated empirically for different tectonic settings. The relations predict linear log-log relationships, the slope of which depends only on β.These new scaling relations, unlike previous relations, are self-consistent, in that they enable moment, rupture length, width, area, and displacement to be estimated from each other and with these estimates all being consistent with the definition of seismic moment. I interpret C 1 as depending on the size at which a rupture transitions from having a constant aspect ratio to following a power law and C 2 as depending on the displacement per unit area of fault rupture and so static stress drop. It is likely that these variables differ between tectonic environments; this might explain much of the scatter in the empirical data.I suggest that these relations apply to all faults. For small earthquakes (M < ∼5) β 1, in which case L 3 fault scaling applies. For larger (M > ∼5) earthquakes β 2=3, so L 2:5 applies. For dip-slip earthquakes this scaling applies up to the largest events. For very large (M > ∼7:2) strike-slip earthquakes, which are fault widthlimited, β 0 and assuming D ∝ A p , then L 1:5 scaling applies. In all cases, M 0 ∝ A 1:5 fault scaling applies.

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