Geoinformatics
Online ISSN : 1347-541X
Print ISSN : 0388-502X
ISSN-L : 0388-502X
Volume 27, Issue 3
Displaying 1-6 of 6 articles from this issue
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  • ― Representation of Turned Layers ―
    Hideo KASAI
    2016 Volume 27 Issue 3 Pages 137-148
    Published: September 25, 2016
    Released on J-STAGE: September 25, 2016
    JOURNAL FREE ACCESS

    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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