Page 176 - Modern Spatiotemporal Geostatistics
P. 176

Uncertainty  Assessment                   157



























        Figure 8.6.  Water-level  elevations  measured in the  Equus Beds aquifer  at  well
              no.  19.  Circles depict  available readings, error  bars show interval  (soft)
              data,  pulse-shaped curves represent  probabilistic  (soft)  data.



        water-level  elevation  measurements provided  by the  Kansas  Geological  Survey
        (KGS)  has been  used.  For the  observation  wells  shown  in  Figure 8.5,  the  data
        set  covers the  period  1970-1998.
            An  aspect  of  particular  importance  to  the  KGS is  measurement  quality.
        Measurements  of  water-level  elevations  at  each observation  well  are  obtained
        by  measuring  the  depth  to  water  relative  to  a fixed  measuring  point,  which  is
        usually  located  a few  feet  above the  land surface.  Experience  has shown that
        some  measurements contain  random  errors due to  several factors,  e.g.,  inac-
        curate  readings,  recording  errors,  uncertainty  about  the  measuring  point  used
        for  early measurements, and fluctuation of the water-level  elevation  during the
        monitoring season.  Observations  free of attached  measurement error were con-
        sidered  hard  data.  Observations that had associated uncertainties  were  treated
        as  soft  data  of  either  interval  or  probabilistic  type  by the  BME  approach (soft
        data  of  the  interval  and  probabilistic  types  were  generally  assigned  on  the
        basis  of  a  review  of  the  available readings  and the  previous  experience of  the
        KGS  in collecting similar  data  at other  sites).  For illustration, consider the time
        profile  of well  no. 19 (Fig.  8.6).  In this case, the  duplicate  measurements taken
        during the  same  monitoring  season  showed variations  that  were attributed  to
        inaccurate  readings and pumping-induced  fluctuations.  Limits on the measure-
        ments  were assigned, leading to  the soft  data of interval and probabilistic  types
        shown  in  Figure  8.6.  A  similar  approach was implemented  for  the  remaining
        wells.
   171   172   173   174   175   176   177   178   179   180   181