**DETERMINATION OF FAULT SLIP COMPONENTS USING SUBSURFACE
STRUCTURAL CONTOURS: METHODS AND EXAMPLES**

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**S-S. Xu ^{1}, L. G. Velasquillo-Martinez^{1},
J. M. Grajales-Nishimura*^{1}, G. Murillo-Muñetón^{1},
J. García-Hernandez^{2} and A. F. Nieto-Samaniego^{3}**

^{1} Instituto Mexicano del Petróleo, Programa
YNF, Eje Central Lázaro Cárdenas No.152, Col. San Bartolo Atepehuacán,
C.P. 07730, Mexico D.F., Mexico.

^{2} Petróleos Mexicanos Exploración
y Producción Región Marina NE, Activo Cantarell (PEP-RMNE), Mexico

^{3} Universidad Nacional Autónoma de México,
Centro de Geociencias, Apartado Postal 1-742, Querétaro, Qro., 76001,
Mexico.

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** Corresponding author, email : **mgrajal@imp.mx*

Problems with measuring fault slip in the subsurface can sometimes be overcome by using subsurface structural contour maps constructed from well logs and seismic information. These maps are useful for estimating fault slip since fault motion commonly causes the dislocation of structural contours. The dislocation of a contour is defined here as the distance in the direction of fault strike between two contours which have the same value on both sides of a fault. This dislocation can be estimated for tilted beds and folded beds as follows:

If a dip-slip fault offsets a tilted bed, the dislocation (S_{c})
of contours can be estimated from the vertical component (S_{v})
of the fault slip and the dip (β) of the bedding according to the following
relationship: S_{c} = S_{v}/tan
β. Since S_{c} and β can
be measured from a contour map, the vertical component of fault slip can be
obtained from this equation. If a strike-slip fault offsets a tilted bed, the
dislocation (S_{cs}) of contours is equal to the strike-slip
of the fault (S_{s}), that is, S_{cs} = S_{s}.

If a fault offsets a symmetric fold, the strike component (S_{cs})
of fault slip and the dislocation of the contours (S_{c}) can be calculated,
respectively, from the equations S_{cs} = (S_{max} + S_{min})
/ 2 and S_{c} = (S_{max} - S_{min}) / 2. S_{max }is
the greater total dislocation (S_{c} + S_{cs}) of a contour
line between the two limbs of the fold and S_{min} is the smaller total
dislocation (S_{cs} - S_{c}) for the same contour line. In this
case, S_{v} can be also calculated using the obtained value of S_{c}
and the equation S_{v} = S_{c}
tan β.

Similarly, for an asymmetric fold, the dislocation of contours
due to the vertical slip component is S_{cb }= (S_{max} - S_{min})/(n
+ 1), and the strike-slip component is S_{s} = S_{cs} = (*n*S_{min}
+ S_{max})/(*n* + 1), where *n* is the ratio between the values
of interlines of the two limbs, and S_{cb} is the dislocation of contours
due to the vertical slip component for either of the two limbs (here it is for
limb b).

In all cases, three conditions are required for the calculation of contour dislocation: (1) the contour lines must be approximately perpendicular to the fault strike; the intersection angle between the fault strike and the strike of bedding should be greater than 65˚; (2) the bed must not dip more than 35˚; and (3) folding or flexure of the stratigraphic horizons must have occurred before faulting.

These methods for determining fault slip from the dislocation
of structural contours are discussed using case studies from the Cantarell oilfield
complex, Campeche Sound (southern Gulf of Mexico), the Jordan-Penwell Ellenburger
oilfield in Texas, and the Wilmington oilfield in California.

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