A solution to the mechanics of horizontal offset

"IntroductionOne of the more puzzling geological enigmas, in the writer's opinion, is how rock can move sideways with respect to other rock. In the writer's study of regional northwest-southeast folding in North America (Burr, 1980), he may have found the answer to horizontal offset.Horizontal OffsetSideways movement or horizontal offset does not mean that the movement was, or is, horizontal. As indicated below, the actual movement may be at a high angle from the horizontal. However, it is the horizontal VECTOR, or offset, which is measured on surface by geologists. Vertical movements (thrust, normal, reverse) can be understood, as they involve blocks of rock , generally separated on four to six sides, which have been pushed up or subsided. Vertical faulting across dipping strata can produce APPARENT horizontal offsets. However, this thesis deals only with ACTUAL offsets.The ProblemFigure 1 is a plan view of a simple hypothetical horizontal offset. Three vertical dykes are intersected by a fault lineament. Two dykes exhibit no movement; the middle dyke has been offset a distance (a). Vertical faulting would have produced no horizontal offset. How can a horizontal distance (a) disappear or appear? Rock expands or contracts in infinitesimal amounts.SolutionThe map (Burr, 1980) shows the writer's interpretation of regional northwest-trending folds in Ontario. The writer made two observations about horizontal offsets during his thirty year study of these folds:1) All major horizontal fault lineaments strike at a high angle to the northwest fold axes. Many of the northwest-trending lineaments are fault s, but their movement is essentially vertical.2) Close to many of the known horizontal offsets (and several lineaments), there are areas where plunge reversals are so frequent and close together it is impossible to draw in all the fold axes at a scale of 1 inch = 4 miles, and, in the highly faulted Espanola area southwest of Sudbury, Ontario, all the indicated folds cannot be easily separated at a scale of 1 inch = 1 mile. The writer has observed folds less than 30 feet apart next to the strong Puskitamica-Chibougamau fault in northern Quebec."