Fl. Paillet et Re. Crowder, A GENERALIZED-APPROACH FOR THE INTERPRETATION OF GEOPHYSICAL WELL LOGS IN GROUNDWATER STUDIES - THEORY AND APPLICATION, Ground water, 34(5), 1996, pp. 883-898
Quantitative analysis of geophysical logs in ground-water studies ofte
n involves at least as broad a range of applications and variation in
lithology as is typically encountered in petroleum exploration, making
such logs difficult to calibrate and complicating inversion problem f
ormulation, At the same time, data inversion and analysis depend on in
version model formulation and refinement, so that log interpretation c
annot be deferred to a geophysical log specialist unless active involv
ement with interpretation can be maintained by such an expert over the
lifetime of the project. We propose a generalized log-interpretation
procedure designed to guide hydrogeologists in the interpretation of g
eophysical logs, and in the integration of log data into ground-water
models that may be systematically refined and improved in an iterative
way. The procedure is designed to maximize the effective use of three
primary contributions from geophysical logs:(1) The continuous depth
scale of the measurements along the well bore; (2) The in situ measure
ment of lithologic properties and the correlation with hydraulic prope
rties of the formations over a finite sample volume; and (3) Multiple
independent measurements that can potentially be inverted for multiple
physical or hydraulic properties of interest, The approach is formula
ted in the context of geophysical inversion theory, and is designed to
be interfaced with surface geophysical soundings and conventional hyd
raulic testing, The step-by-step procedures given in our generalized i
nterpretation and inversion technique are based on both qualitative an
alysis designed to assist formulation of the interpretation model, and
quantitative analysis used to assign numerical values to model parame
ters, The approach bases a decision as to whether quantitative inversi
on is statistically warranted by formulating an over-determined invers
ion, If no such inversion is consistent with the inversion model, quan
titative inversion is judged not possible with the given data set, Add
itional statistical criteria such as the statistical significance of r
egressions are used to guide the subsequent calibration of geophysical
data in terms of hydraulic variables in those situations where quanti
tative data inversion is considered appropriate.