We have shown in the previous studies that the outcrop structure and the stratigraphy at an outcrop composed of unturned layers are mathematically expressed in the form of a structure graph G=(V, R#, φV, φA) and a stratigraphic graph S= (V/E*, U*, φV, φA), respectively. The present study extends the idea to describe the outcrop composed of turned layers. The contact relation between geological bodies x and y is expressed in terms of binary relation R# on a set of geological bodies V, where R# =R∨I ∨F ∨L∨D∨T, R is the relation of a comformity or an uncomformity, I is the relation of a intrution, F is the relation of a fault, L is the relation of a inclusion, D is the relation of a interfingers, and T is the relation of a reverse. φA is a function which assigns the contact relation such as conformity, unconformity, intrusion, fault, intrusion, interfingers, conformity (reverse) and unconformity (reverse) to each arc. In the case of turned layers x and y, if x is under y : xTy, y is older than x: yU*x, if φA (x, y) = conformity (reverse), φA (y, x) =conformity, if φA (x, y) =unconformity (reverse), φA (y, x) =unconformity. In the case that geologic bodies [gi] are turned and geologic bodies [gj] cover [gi] with unconformity, let H1 be [gi] which exist in the underside spatially of the surface of unconformity, and let H2 be [gi] which exist in the spatially upper side of the surface of unconformity. The stratigraphic total order is expressed as P’= (H1, unconformity, H2). When the total order P’1 and P’2 of strata of H1 and H2 are obtained respectively, the total order P’ is infered as, P’= (P’1, unconformity, P’2).
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