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                   Using the same method, determine the slope for the remainder of   Example 19.4, p. 488
                   the earthquake position and depth values in the table. Results are   Determine the number of magnitude differences, and multiply the
                   shown below:                                           ground movement change factor by itself for each change in magnitude.
                                    3
                             __                                                       Richter magnitude 1  = 7.2
                             −6.3 × 1 0    m

                       slope     =

                          2
                               22.1 km
                                                                                      Richter magnitude 2  = 5.2
                                  m _
                           = −290                                              surface wave difference = ?
                                  km
                                    3
                             __                                                   magnitude
                             −9.8 × 10  m
                       slope     =


                          3
                               43.5 km
                                                                                    difference  = Richter magnitude 2  − Richter magnitude 1
                                  m _
                           = −230                                                         = 5.2 − 7.2
                                  km
                                                                                          = −2 magnitudes
                                     4
                             __
                             −2.28 × 1 0    m


                       slope     =     91.2 km                                  surface wave
                          4
                                                                                  difference     = (10)(10)
                                  m _
                           = −250
                                  km                                                      = 100
                                     4
                             −42.0 × 1 0    m
                             __                                           The negative magnitude difference means the first earthquake had


                       slope     =     160.3 km                           approximately 100 times greater ground motion (surface wave ampli-
                          5
                                  m _                                     tude) than the second earthquake.
                           = −262
                                  km
                   Average the results.
                                                                           CHAPTER 20
                                      m _
                                                           m _
                                                m _
                                (   −240          +   −290           +   −230
                                        ) (
                                                  ) (
                                                             )

                                                km
                                                           km
                                     km
                                                                          Example 20.2, p. 507
                                                                m _
                                                     m _
                                                       ) (
                                               (
                                                                  )
                                                                +   −250           +   −262            Determine the surface area of the pieces of rock before weathering and
                      slope average  =               km        km         the surface area after weathering. Then subtract the before case from
                                                 5
                                     m _                                  the after case to determine the increase in total surface area caused by
                              = −250
                                     km                                   physical weathering.
                                                                             displacement = 0.6 mm      displacement
                                                                                                        _


                    CHAPTER 19                                                       age = 67 yr   rate =      age
                   Example 19.2, p. 484                                             rate = ?       Convert distance from m to cm.
                      West Fault            West Fault                                                    _
                                                                                                          100cm

                                                                                                     0.6 m  (          )
                        Δy = 500 m                _           _                                            1 m
                                                   Δy
                                                               Δy
                                            slope =           ∴ Δx =                                 60 cm



                               m _                 Δx         slope
                      slope = 1.3  m                                                                      _
                                                                                                           60 cm
                                                  500 m
                                              Δx =   _                                               rate =    67 yr

                                                     m _
                        Δx = ?                     1.3
                                                     m                                                       _
                                                                                                             cm
                                                                                                        = 0.9
                                                  500 m _                                                    yr
                                                  _

                                                =     1.3 m _

                                                      m
                                                                          Example 20.4, p. 509
                                                = 380 m                   This type of problem is best solved by subdividing it into steps that
                                                                          consider the volume of sediment eroded in 1 million years and the
                      East Fault            East Fault
                                                                          thickness of sediment associated with this volume.
                        Δy = 500 m                _           _
                                                   Δy
                                                               Δy


                                            slope =           ∴ Δx =

                               m _                 Δx         slope       Step 1: Volume Removed
                      slope = 1.8  m
                                                  500 m

                                              Δx =   _                                  4 Mg                 m _       m _
                                                                                         _
                                                     m _
                        Δx = ?                     1.8                       m = 7.06 × 1 0          (1 × 1 0    yr)   ρ =            ∴  V =
                                                                                                  6

                                                     m                                    yr                 V         ρ
                                                                                                                    10
                                                  500 m _                      = 7.06 × 10  Mg               7.06 × 1 0     Mg
                                                                                        10
                                                  _
                                                =     1.8 m _                                            V =   __




                                                                                                                   Mg
                                                      m                              Mg                         1.35   _
                                                                                     _

                                                                              ρ = 1.35                              m    3
                                                                                      3
                                                = 280 m                               m
                                                                                                                   10 Mg
                                                                                                             7.06 × 1 0    _
                   The extension is the sum of the horizontal displacement (Δx) of the     V = ?             =   _





                                                                                                                     Mg
                   east and west faults:                                                                       1.35  _

                                                                                                                      m    3
                          Δx w  = 380 m     extension = Δx w  + Δx e                                               10  3
                                                                                                             = 5.2 × 1 0      m
                           Δx e  = 280 m            = 380 m + 280 m
                      extension = ?                 = 660 m
                   640     APPENDIX D  Solutions for Follow-Up Example Exercises                                         D-8
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