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Facilitating Dike Intrusions into Ring-Faults                         361


                    Deflating spherical magma reservoir, opening at ring-fault

                    A) Map view, model setup       B) Map view, displacement vectors

                                Magma chamber
                                (10 MPa           20
                                pressure drop)
                                                  10

                                                  0          Subsidence
                                                             Subsidence
                                                             Subsidence
                         5 km
                      y
                                    Opening      -10
                                    ring-fault
                                x                -20
                      -20  -10   0    10   20         -20  -10   0    10   20

                                C) Side views on opening ring-dike  [in m]
                                     z               z            5
                                          x                y      0
                                                0



                                      Dike            Dike

                                    Opening    -10  Opening


                                  -4   0    4     -4    0   4
                                      Magma chamber
             Figure 5  De£ation of a spherical magma chambercauses opening at a circumferential ring-
             fault. (A) Model setup (x--y plane).The magma chamber (5 km radius) is emplaced at (x, y)
             coordinates (0,0) at10 km depth, and is subject to apressure dropof10 MPa. A ring-fault is de¢ned
             surrounding the magma chamber, with a radius of 5 km at 0--20 km depth. Boundaryconditions
             are set so that the ring-fault is allowed to open. (B) A mapviewof horizontal displacement vec-
             tors at the surface (x--yplane) shows convergence toward the de£ating source.Vector magnitudes
             are largest at the periphery and tend tobecome zero inside the caldera (piston subsidence).
             (C) Side views on opening ring-fault (left showing x--z plane, right y--z plane).The projection
             of the spherical magma chamberenclosed by the ring-fault in (C) is indicated as a dashed ring
             centered at10 km depth. Maximum opening occurs near the magma chamber.The pattern is
             radially symmetric, so dike intrusion (shown byblack arrow) mayoccur as a complete ring.



             implying that a dike intrusion could occur anywhere along the ring-fault and in a
             complete circle around the magma chamber. Separate tests were done to study
             the effect of a ring-fault dipping in or out (not shown in figures), which affects
             the amount of opening in the sense that a larger amount of opening is found
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