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                                                                                      _
                    20.13.   Divide the distance the glacier has retreated by the diff erence of   thickness


                                                                                 rate =
                          the dates of the moraine positions.                           time
                                   d = 0.96 km                                   Convert thickness from m to mm:
                                   t = 2007 − 1933 = 74 yr                                _
                                                                                               3
                                                                                           1 × 10  mm
                                                                                       3

                                                                                 1.1 × 10  m  (         )
                           rate of retreat = ?                                               1 m
                                                                                       6
                                               d _                               1.1 × 10  mm
                                    rate of retreat =
                                                t                                     __
                                                                                            6
                                                                                      1.1 × 10  mm


                                               _                                 rate =     7
                                               0.96 km

                                              =                                        6.3 × 10  yr

                                                74 yr
                                                                                            −2
                                                       _
                                                     −2 km                           =  1.7 × 10  mm/yr
                                              = 1.3 × 10

                                                        yr

                                                                           21.2.   The time break is the difference in age between the oldest strata

                    20.14.   Divide the remaining glacier length by the rate of retreat, then   on top of the unconformity and the youngest strata beneath the
                          add this to the year of the survey to determine the year the   unconformity.
                          glacier will disappear.
                                                                                                                     8
                                                                                      age of strata above unconformity = 1.76 × 10  yr
                                                            d
                            d = 1.2 km                t =    __                      age of strata beneath unconformity = 2.80 × 10  yr
                                                                                                                     8


                                        _
                                      −2 km             rate of retreat
                     rate of retreat = 1.25 × 10                                                     time break = ?

                                        yr
                                                            1.2 km


                                                      =    __                    time break = (age of strata beneath unconformity)
                             t = ?                             −2 km
                                                                 _
                                                         1.25 × 10

                                                                  yr                               − (age of strata above unconformity)
                                                                                                 8
                                                                                                            8
                                                                 _
                                                            1.2
                                                        __ km                            = 2.80 × 10  yr − 1.76 × 10  yr

                                                      =


                                                                                                 8
                                                                  km
                                                         1.25 × 10 −2  _                =  1.04 × 10  yr

                                                                  yr
                                                              1


                                                      = 9.6 × 10  yr       21.3.   The time break is the difference in age between the oldest strata
                                                       = 96 yr                   on top of the unconformity and the youngest strata beneath the
                                             2002 + 96 yr = 2098                 unconformity. Since only the Devonian rocks are missing, refer
                                                                                 to Figure 21.17 to determine the age of the lower and upper

                    20.15.   Determine the difference in elevation and divide by the
                                                                                 boundaries of the Devonian period.

                          difference in age.
                                                                                                                   8
                                                                                    age of strata above unconformity = 3.60 × 10  yr
                      elevation 1  = 393 m        ___                                                              8
                                                    (elevation 1  − elevation 2 )

                                           rate uplift  =                          age of strata beneath unconformity = 4.08 × 10  yr

                      elevation 2  = 379 m        (terrace age 1  − terrace age 2 )
                                                                                                   time break = ?
                     terrace age 1  = 12,500 yr
                                          Convert m to mm                        time break = (age of strata beneath unconformity)
                     terrace age 2  = 0 yr                                                         − (age of strata above unconformity)
                                                    3
                                                1 × 10  mm
                       rate uplift  = ?   393 m  (   _                                           8          8

                                                          )

                                                   m                                     =4.08 × 10  yr − 3.60 × 10  yr
                                                                                                 7
                                                 5
                                           3.93 × 10  mm                                  =  4.8 × 10  yr
                                                    3
                                                _
                                                1 × 10  mm

                                          379 m  (                         21.4.   The principle of cross-cutting relationships determines that the
                                                          )

                                                   m

                                                 5
                                           3.79 × 10  mm                         flat-lying sedimentary sequence that includes the sandstone is
                                                                                 less than 210 million years old. The principle of superposition

                                                    5
                                        5
                                  ___
                                  (3.93 × 10  mm − 3.79 × 10  mm)

                          rate uplift  =                                         determines that the flat-lying sedimentary sequence is older


                                             4
                                      (1.25 × 10  yr − 0 yr)
                                                                                 than 189 million years old. Hence, the absolute age of the
                                        5        5
                                  __ _
                                  (3.93 × 10  − 3.79 × 10 ) mm


                                =                                                sandstone is sometime between  189 and 210 million years old.


                                                   yr
                                           4
                                     (1.25 × 10  − 0)

                                        4
                                  __                                       21.5.   The principle of cross-cutting relationships determines that the
                                  1.40 × 10  mm
                                =


                                         4
                                   1.25 × 10  yr                                 flat-lying sedimentary sequence that includes the sandstone is

                                     _                                           less than 56.3 million years old. The principle of superposition
                                     mm
                                = 1.12
                                      yr                                         determines that the flat-lying sedimentary sequence is older

                                                                                 than 37.3 million years old. Hence, the absolute age of the
                                                                                 sandstone is sometime between 56.3 and 37.3 million years old.
                    CHAPTER 21
                                                                                 Referring to Figure 21.17, the fossils would date from the
                    21.1.   The sedimentation rate is determined by dividing the thickness   Eocene epoch of the Tertiary period.

                          of the geologic section by the time in which the section was
                                                                           21.6.   The principle of superposition determines the sandstone, shale,


                          deposited. The section spans the Tertiary period, so the time can
                                                                                 and limestone are younger than the lava fl ow. The principle of

                          be determined from Figure 21.17 by calculating the diff erence in
                                                                                 cross-cutting relationships determines that the sequence is
                          age between the beginning and the end of the Tertiary period.
                                                                                 older than the dike. Hence, the absolute age of the limestone
                                                 3
                                   thickness = 1.1 × 10  m                       and shale is sometime between  64.5 and 61.2 million years.
                          From Figure 21.17:                               21.7.   Event E cuts across A and D, so it must be younger than these
                                                                                 events. Event A cuts across C and D, so it must be younger than
                                                 6
                               end of Tertiary = 1.6 × 10  yr
                                                 6
                           beginning of Tertiary = 65 × 10  yr                   these events. Event D overlies B so the principle of
                                                 7
                                                            6
                                   ∴ time = 6.5 × 10  yr − 1.6 × 10  yr          superposition dictates it is younger than B. Event B cuts across

                                                 7
                                          = 6.3 × 10  yr                         the youngest layer of C, so B is younger than C. The tilting must

                                                                                 have occurred after the deposition of the layers in C because of
                                       rate = ?
                   688     APPENDIX E  Solutions for Group A Parallel Exercises                                         E-46
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