Liyao Li1,2, Fei Xia1, Jinhui Liu3, Kai Zang4, Chao Liu5, Jiuchuan Wei6, Longlong Liu7. 1. State Key Laboratory of Nuclear Resources and Environment, East China University of Technology, Nanchang 330000, China. 2. Key Laboratory for Digital Land and Resources of Jiangxi Province, East China University of Technology, Nanchang 330000, China. 3. College of Water Resource and Environmental Engineering, East China University of Technology, Nanchang 330000, China. 4. Shandong Institute of Geophysical and Geochemical Exploration, Shandong Provincial Bureau of Geology and Mineral Resources, Jinan 250013, China. 5. Tianjin Branch of CNOOC Limited, Tianjin 300452, China. 6. College of Earth Science and Engineering, Shandong University of Science and Technology, Qingdao 266000, China. 7. School of Geographical Sciences, Lingnan Normal University, Zhanjiang 524048, China.
Abstract
The Ordos Basin is a sedimentary basin located in Inner Mongolia, China, where coal and uranium coexist. Water inrush disasters have always been one of the main disasters that threaten the safety of coal mine production, and thus, the study and division of groundwater potential regions are of great significance for the prevention of water inrush disasters and in situ leaching of sandstone-type uranium ore. A new method combining truncated Gaussian simulation and sedimentary facies control was established to predict the groundwater potential area. Taking a typical aquifer, the Zhiluo Formation, as an example, based on high-resolution sequence stratigraphy, geophysics, sedimentary geology, and geostatistical theory, the plane distribution of sand bodies was predicted. Furthermore, the relationship between rock porosity and electricity porosity was established to calculate the regional porosity. Combined with truncated Gaussian simulation and facies-controlled modeling methods, a facies-controlled heterogeneous property model was established to analyze the heterogeneous effective porosity of the aquifer in the study area. Groundwater potential areas were quantitatively evaluated by 3D modeling analysis. The results of the evaluated model were verified by actual data and provide a geological guarantee for the accurate mining of deep coal and uranium ore. A 3D distributed model of chemical elements, which is meaningful for in situ leaching uranium mining, is expected in future research.
The Ordos Basin is a sedimentary basin located in Inner Mongolia, China, where coal and uranium coexist. Water inrush disasters have always been one of the main disasters that threaten the safety of coal mine production, and thus, the study and division of groundwater potential regions are of great significance for the prevention of water inrush disasters and in situ leaching of sandstone-type uranium ore. A new method combining truncated Gaussian simulation and sedimentary facies control was established to predict the groundwater potential area. Taking a typical aquifer, the Zhiluo Formation, as an example, based on high-resolution sequence stratigraphy, geophysics, sedimentary geology, and geostatistical theory, the plane distribution of sand bodies was predicted. Furthermore, the relationship between rock porosity and electricity porosity was established to calculate the regional porosity. Combined with truncated Gaussian simulation and facies-controlled modeling methods, a facies-controlled heterogeneous property model was established to analyze the heterogeneous effective porosity of the aquifer in the study area. Groundwater potential areas were quantitatively evaluated by 3D modeling analysis. The results of the evaluated model were verified by actual data and provide a geological guarantee for the accurate mining of deep coal and uranium ore. A 3D distributed model of chemical elements, which is meaningful for in situ leaching uranium mining, is expected in future research.
There are relatively rich
coal resources in China. In particular,
the coalfields in the Ordos Basin exhibit excellent occurrence conditions
and play an important role in the development of coal energy in China.[1,2] Unfortunately, groundwater inrush disasters in coal mines are frequent
occurrences.[25] In addition, many sandstone-type
uranium ore deposits are associated with coal in the Ordos Basin because
of the coal reducibility. Coal and uranium resources often coexist
in the Ordos Basin.The Early and Middle Jurassic coal-bearing
strata in the Ordos
Basin were deposited in an inland lake basin environment with well-developed
fluvial and lacustrine delta sediments. The distribution of sand bodies
was complex, the sand bodies were spatially superimposed on each other,
and the sedimentary facies transition was rapid. With the large-scale
mining of coal, water inrush accidents in coal mines frequently occur.[4] The fundamental reason for these accidents is
poor understanding of the reserved capacity and distributed rule of
aquifers.[2,5] In addition, the mineralization of sandstone-type
uranium deposits is also controlled by the distribution of aquifers.,[6] The perspective of sedimentary genesis can well
predict the spatial distribution of aquifers and explain the hydrodynamic
properties of aquifers; thus, sedimentology studies can provide geological
guarantees for the safe production of coal mine and the in situ leaching
of sandstone-type uranium.[3]At present,
prediction studies of the groundwater potential area
and groundwater inrush in coal mines can be divided into three categories.
The first class of approaches are based on unit inflow data, fault
density, and other groundwater potential control factors. Yin used
a GIS-based model to integrate these correlative water potential factors.[1] Wu proposed a vulnerability index coupling the
analytic hierarchy process (AHP) with a geographic information system
(GIS).[7] A synthetic method was developed
to evaluate the groundwater potential of a confined aquifer overlying
a mining area using the improved set pair analysis (ISPA) theory.[2]Other approaches involve evaluating the
groundwater potential area
through geophysical detection methods, such as the direct current
method and transient electromagnetic method. Gao used 2D electrical
resistivity tomography (ERT) by laying electrodes and cables in two
adjacent roadways and using an equatorial dipole device to detect
the groundwater potential internal working face.[8] Shi developed equipment and corresponding data processing
software to collect 3D data volume for a working face, and 3D imaging
technology was combined to realize the 3D detection of a groundwater
potential working face before mining.[2] The
third approach is focused on water inrush risk caused by overburden
aquifer destruction. The experimental, theoretical, and in situ methods
were used to verify the protection of the overburden aquifer by gangue
backfilling mining.[24] Ma analyzed the characteristics
of water-sediment flow in fractures by computational fluid dynamics,
which are expected to determine the mechanism water-sediment inrush.[26] These methods have achieved certain results,
but due to the multiple interpretations of geophysical data and the
limitations of hydrogeological data, such as few hydrogeological holes
and partial experiments, errors in prediction results arise, and neither
method analyzes the groundwater potential of a unconsolidated aquifer
itself.Guided by the concept of “groundwater controlled
by depositional
architecture”,[7] this manuscript
takes the Zhiluo Formation of the Ordos Basin as an example. According
to logging, core analysis, and laboratory experiments, the distribution
of sedimentary facies belts in different stratigraphic frameworks
was predicted. Based on overpressure porosity test data and logging
data, the regional porosities of different layers were measured, and
the truncated Gaussian simulation method was used to discretize the
measured porosities controlled by sedimentary facies. Then a facies-controlled
heterogeneous groundwater potential model was established to predict
the accumulation area of groundwater.
Methods
Analysis of Sedimentary Facies in the Sequence
Stratigraphic Framework
The spatial contact relation of sand
bodies is affected by sedimentary facies. The analysis of sedimentary
facies starts by identifying facies markers, such as the color of
sedimentary rock, particle size, and sedimentary structure. Based
on the sedimentary analysis results, the distribution system of sedimentary
microfacies is established based on the theory of facies differentiation
and facies contact.
Porosity Measurement Based
on Lithoelectric
Regression
The porosity of sandstone is an important index
for the quantitative evaluation of pore aquifers.[9] A change in effective pressure in the rock matrix causes
a change in the porosity in the rock; therefore, the confining pressure
of rock samples was increased in a laboratory to simulate authentic
strata overlying pressure. The first step of the test procedure is
production of standard rock samples; second, the samples are put into
the core gripper and pressure is applied to the core, with the pressures
being dependent on burial depth; and third, the measurement medium
is nitrogen, which is diffused into the core. Boyle’s law was
used in the measurement, and the nitrogen volume was measured by change
of pressure. Finally, the effective pore volume was obtained by nitrogen
volume.Due to limitations on the number of samples tested,
the porosity distribution law cannot be comprehensively reflected.
Thus, acoustic time (AC) logging and laboratory experiments were carried
out for regression analysis, the corresponding lithoelectric relationship
was established, and the porosities of untested strata and regions
were calculated to evaluate the water storage capacity of aquifers.
Establishment of the Facies-Controlled Heterogeneous
Porosity Model
Facies-control modeling is based on the time
and space distribution characteristics of sedimentary facies to restrict
reservoir stochastic modeling. The core procedure starts with a sedimentogenesis
analysis to guide the modeling process, which involves using the plane
and vertical evolution of sedimentary facies to restrict 3D modeling
results.The thickness and porosity of an aquifer are important
indexes that affect the groundwater potential of a unconsolidated
aquifer. By establishing a facies-controlled porosity model, the distributions
of sedimentary facies and porosity parameters are combined to depict
the groundwater potential areas in the target strata.
Truncated Gaussian Simulation
Truncated
Gaussian simulation belongs to the discrete random model, which is
used to study discrete or type variables.[10] The simulation process establishes the 3D distribution of variables
by truncating the 3D continuous variables through truncating rules.[20] The truncating rule is determined according
to different sedimentary facies; that is, the same truncating rule
is set for the same sedimentary facies. The specific approach is as
follows:Suppose “n” kinds of
sedimentary facies can be described by the indicator function of each
sedimentary facies. For the “i” sedimentary
facies, its indicator value can be defined by Gaussian random function Y(x):Thus, point x belongs to i sedimentary facies if and
only if Y(x) ∈ (a, a), and ai is the truncated
value, which is used to truncate the
3D continuous variables.The establishment procedure of 3D continuous
variables (Gaussian
simulation procedure) was common and fixed based on the specific procedure
cited by Lee and Verly.[11,12] The truncated Gaussian
simulation was written into Petrel software to command calls at any
time.
Facies-Controlled Porosity Modeling
The truncated Gaussian simulation method is a purely mathematical
simulation method, which is a random simulation method that cannot
normally be combined with geological understanding. Therefore, it
is necessary to apply a variation function to control the simulation
results to have the simulation results controlled by geological understanding
(sedimentary facies).Different sedimentary facies are controlled
not only by different truncation rules but also by the variation function
of different parameters. The variation function changes with lag distance
u, and the change features show various spatial variation properties
of regional variables. The spherical variation function was applied
in this model. Compared to those of other variation functions, the
control data abilities of the spherical model are more accurate, and
its specific expression is outlined as follows:Here, a is the range of the
variation function, meaning the spatial correlation range of regional
variables; h is the lag distance, which is the independent
variable of the variation function. c is a partial
sill, which represents the total variability level of the variable
in space. In practical modeling applications, the parameters of the
variation function were adjusted according to the difference in geological
understanding so that the variation function could reflect actual
geological conditions as comprehensively as possible.Figure shows the
construction process of the sedimentary facies control model of the
groundwater potential area. The digitized top and bottom surface and
individual layer data collected from each bore hole are used to establish
a sequence stratigraphic framework model. The core, logging, and outcrop
data are the basic data for sedimentary facies analysis, and the distribution
of sedimentary facies is determined by the results of sedimentary
analysis. Combining acoustic time logging with petrophysics experimentation,
the porosity data of the target area were calculated by the lithoelectric
regression formula, and the discrete results controlled by the sedimentary
facies were discretized by truncated Gaussian simulation. Finally,
the 3D spatial prediction model of groundwater potential areas was
established.
Figure 1
Flowchart of the 3D spatial prediction of the groundwater
potential
area under facies control.
Flowchart of the 3D spatial prediction of the groundwater
potential
area under facies control.
Result: A Case Study
Geology
and Hydrogeology Settings
The study area is located in the
middle of the Ordos Basin in northern
China (Figure a).
The geological and hydrogeological features of this area are typical:
the terrain is flat, and there are no faults in the main mining area
(Figure b). According
to core observations and outcrop observations of primary research,[13] there is also no obvious primary fracture in
the target area. The coal-bearing strata of this target area are located
in the middle Jurassic Yan ’an Formation, and the overlying
Zhiluo Formation, providing the direct water filling of coal, has
developed a set of pore confined aquifers interlaced with sand and
mud (Figure ).
Figure 2
(a) Location
map of the study area; (b) top surface structure map
of the study area.
Figure 3
Sequence stratigraphy
and lithology division of the Zhiluo Formation
(Fm: Formation; Mb: Member; Dep: Depth; Lith: lithology; BLC: base-level
cycle; SSC: short-level cycle; MSC: middle-level cycle; LLC: long-level
cycle).
(a) Location
map of the study area; (b) top surface structure map
of the study area.Sequence stratigraphy
and lithology division of the Zhiluo Formation
(Fm: Formation; Mb: Member; Dep: Depth; Lith: lithology; BLC: base-level
cycle; SSC: short-level cycle; MSC: middle-level cycle; LLC: long-level
cycle).According to previous research
results, the Zhiluo Formation exhibits
a long-level cycle (LLC). Three short-level cycles, corresponding
to the upper, middle, and lower members of the Zhiluo Formation, were
identified in this formation. The three members were further divided
into two short-level cycles corresponding to two submembers. In the
study area, the upper member of the Zhiluo Formation is approximately
55–75 m thick, and it has relatively thick sandstone but poor
continuity. The middle member of the Zhiluo Formation is approximately
45–70 m thick with relatively thin sandstone. The lower member
of the Zhiluo Formation is approximately 60–90 m thick, and
the “Qilizhen Sandstone” at the bottom of this member
is a regional marker with good continuity in the Ordos Basin (Figure ).
Sedimentary Characteristics and Facies Distribution
of the Zhiluo Formation in the Study Area
The sedimentary
system of the study area is controlled by the sedimentary environment
of the Ordos Basin according to previous identifications of sedimentary
systems.[13,19] Meandering rivers, braided river deltas
and braided river sedimentary systems are developed in the upper,
middle, and lower members of the Zhiluo Formation, respectively. This
manuscript focuses on the classification and identification of sedimentary
microfacies in different sedimentary systems based on previous research
and finally establishes the distribution system of sedimentary microfacies
for the study area on the basis of the theory of microfacies differentiation
and microfacies contact.Based on logging facies and core analysis,
the meandering river sedimentary system of the upper Zhiluo Formation
is taken as an example (Figure ). The lithology of the meandering river channel deposition
is mainly composed of medium coarse sandstone, and logging at the
center of the channel corresponds to the logging characteristics of
a smooth box, reflecting a strong hydrodynamic force and stable water
flow. The logging of the channel edge is characteristic of the toothed
box, which reflects a strong hydrodynamic force and unstable water
flow. Some mud interlayers often occur in channel edge deposition.
The section shape of the channel deposit is generally a typical lenticular
shape with wide upper and narrow lower areas. The point bar sedimentary
microfacies form the underwater deposit located on the convex bank
of a curved riverbed; however, it often becomes a relatively large
part of the riverbed during the drought period. The logging curve
of the point bar is characterized by the bell box type, thick sandstone,
and plate and trough cross-stratification. The profile of sandstone
is elliptical lenticular in the point bar sediment. After a river
burst, a large volume of clastics carried by water flow forms a fan
topography at the break. These kinds of deposits are usually composed
of thin sandstones with sand and mud interbeds, and logging characteristics
are always of the finger or gear type. The natural levee is located
at the edge of the meandering riverbed, which is mainly composed of
fine sandstone, siltstone, and mudstone. The particle size of the
natural levee is thinner than that of the flood fan, but the logging
characteristics are similar to those of the flood fan. Located outside
the natural levee, the flood basin is the product of clastic vertical
accretion on the broad plain outside the riverbed, also known as an
alluvial flat deposit. The lithologic structure of flood fans is simple,
mainly comprising mudstone and argillaceous siltstone; sandstone levels
are low; and the logging curve is generally relatively straight (Figure ). According to the
characteristics of the sedimentary system, the sedimentary microfacies
of the estuary dam, underwater distributary channel, and sand sheet
were identified in the middle member of the Zhiluo Formation; the
braided channel, batture, and channel overflow of the lower Zhiluo
Formation were identified by logging and core analysis.
Figure 4
Identification
of meandering river and rock facies in the upper
member of the Zhiluo Formation.
Identification
of meandering river and rock facies in the upper
member of the Zhiluo Formation.Combined with logging and core data,[14] the characteristics of sedimentary microfacies in the corresponding
layer of each borehole were analyzed, and the plane distribution system
of sedimentary microfacies in the main mining area was established.
Parts a and b of Figure show the plane layout of the sandstone and the sand and stratum
ratio of layer J2z32. The sandstone displays
poor continuity on the plane, and areas of thicker sandstone develop
locally. The natural γ of borehole k7-1 presents a smooth box
type and toothed box type, and the point bar deposit was drilled in
this layer (Figure c). The natural γ of borehole k4-6 has a low-amplitude toothed
shape, and the flood basin deposit was drilled in this layer (Figure c).
Figure 5
Distribution of sand
bodies in the upper member No. 2 submember
of the Zhiluo Formation (J2z32): (a) thickness
distribution of two submembers; (b) ratio of sandstone and stratum;
(c) distribution of sedimentary facies.
Distribution of sand
bodies in the upper member No. 2 submember
of the Zhiluo Formation (J2z32): (a) thickness
distribution of two submembers; (b) ratio of sandstone and stratum;
(c) distribution of sedimentary facies.
Porosity Measurement of the Study Area
Overpressure Porosity Experiment of the
Target Area
The burial depth of the Zhiluo Formation is between
500 and 690 m. To simulate the rock porosity change at different depths,
an indoor experiment based on different overpressures was carried
out. The overpressures of the upper, middle, and lower members are
7.5, 9.5, and 11.5 MPa, respectively, based on burial depth. The specify
test procedures are as follows:The J2z1 porosity of the 36 samples ranged from 20.14% to 25.74% with an
average of 22.82%; the porosity of J2z2 ranged
from 10.75% to 25.41% with an average of 18.32%; and the porosity
of J2z3 ranged from 12.24% to 27.61% with an
average of 20.82%.
Measurement and Calculation
of the Effective
Porosity of the Target Area
According to the results of the
overpressure porosity test of the Zhiluo Formation and the mean value
of acoustic time (AC), the lithoelectric relationship of the Zhiluo
Formation in the target area was established (Figure ). In formula y = 0.0485x + 9.579, the effective porosity value (y) of the untested layer was obtained according to the mean value
of AC (x) in the same layer. Figure shows the measured porosities in borehole
k3-8. The porosities were measured by logging according to the regression
formula and multiplied by the corresponding mud correction coefficient.
Referencing some correction coefficients around the study area, the
mud stratum takes a value of 0.16, sand-mud interbedding takes a value
of 0.6, and the sandstone stratum takes a value of 1.[15] The AC value of sandstone is relatively stable, but the
AC value of sand-mud interbedding fluctuates greatly (Figure ).
Figure 6
Lithoelectric relationship
of the Zhiluo Formation.
Figure 7
Logging porosity measurement
results for the study area.
Lithoelectric relationship
of the Zhiluo Formation.Logging porosity measurement
results for the study area.
Statistical Analysis of Effective Porosity
To clarify the relationship between effective porosity and sedimentary
facies, the effective porosity data corresponding to each borehole
and layer in the study area were divided and statistically analyzed
(Table ). The riverbed
clastic lag deposit, which sedimented in a high hydrodynamic environment,
shows a higher level of effective porosity than the riverbed clastic
overflow deposit.
Table 1
Porosity Distribution of Different
Sedimentary Microfacies
porosity
(%)
sedimentary type
sedimentary facies
range
mean
Riverbed clastic lag
deposit
channel
8.3–26.6
20.62
point bar
10.1–29.7
23.94
batture
15.4–27.8
20.54
estuary dam
13.2–22.8
18.14
Riverbed clastic overflow
deposit
sand sheet
11.7–17.6
14.42
natural levee
12.7–15.2
13.14
interdistributary bay
13.9–16.7
14.51
flood plain
8.7–12.4
10.57
Establishment of the Facies-Controlled
Heterogeneous
Porosity Model
3D Stratigraphic Framework
Model of the
Study Area
The establishment of a stratigraphic framework
model, which was here used to represent the regional structure, is
the first step of the porosity model.[16] There is no fault in the study area, so the fault model is not involved
in the framework model. The modeling step is outlined as follows:First, the study area should be settled and gridded (Figure a). The size of the grid is
determined by the accuracy of the model. The smaller the grid is,
the more accurate the model is. Then the hierarchical data (Figure b) are imported,
and the sliding average method is applied to generate the stratigraphic
interface model (Figure c). Finally, based on the establishment of each stratigraphic interface
model, the 3D stratigraphic framework model of each layer is built
(Figure d). Each zone
represents the stratigraphic framework of different layers (Figure e).
Figure 8
Stratigraphic framework
model of the study area: (a) grid of the
model; (b) imported hierarchical data; (c) stratigraphic interface
model; (d) 3D stratigraphic framework model; (e) stratigraphic framework
of different layers.
Stratigraphic framework
model of the study area: (a) grid of the
model; (b) imported hierarchical data; (c) stratigraphic interface
model; (d) 3D stratigraphic framework model; (e) stratigraphic framework
of different layers.
Facies-Controlled
Porosity Model
The second step of facies-controlled porosity
model establishment
is to establish a depositional microfacies model of the study area.
According to the analytical results of sediments in the Zhiluo Formation,
braided rivers, braided river deltas and meandering river deposit
systems developed in the study area. According to borehole and logging
identification results, these three depositional systems contain many
sedimentary microfacies. The results of depositional facies identification
and distribution were directly input into the model using the assigned
value method. The assigned value method is a deterministic modeling
method, which means that the final modeling result agrees with geological
understanding. Taking the meandering river deposition of J2z31–1 as an example, a 2D sedimentary microfacies
map was established based on the analysis results of sedimentary characteristics
and facies distribution (Figure a). Then, a depositional microfacies model of J2z31–1 was established (Figure b). According to field outcrop
observations for the Ordos Basin channel, point bar and flood fan
sediments present a lens-type profile (Figure c).[13,21]
Figure 9
Sedimentary microfacies
model establishment (a) 2D sedimentary
microfacies distribution; (b) 3D sedimentary microfacies model; (c)
3D cross-section sedimentary microfacies at J = 87.
Sedimentary microfacies
model establishment (a) 2D sedimentary
microfacies distribution; (b) 3D sedimentary microfacies model; (c)
3D cross-section sedimentary microfacies at J = 87.The next step of porosity model establishment involves
importing
the calculated results of the effective porosity data into the model.
The facies-controlled method was applied through the adjustment of
variogram parameters, which include the range and azimuth. These parameters
were adjusted according to the different distributed characteristics
of sedimentary microfacies. At the same time, other geological factors,
such as sedimentary microfacies boundaries, limited the layout of
the facies-controlled porosity.The major range indicates the
influencing sphere of the major source
material direction, while the minor range indicates the influencing
sphere of the vertical material source direction. The adjustment and
modification of variogram parameters were under the control of meandering
river deposition (Figure left); for instance, the proportion of extended distance
in the major and minor directions was 1.25:1 in the point bar deposit,
while the proportion of extended distance in the major and minor directions
was 2.26:1 in the main course deposit (Table ). The vertical range, affected by the thickness
of sandstones, is the vertical influence sphere of the imported data;
for example, the vertical range parameters of flood plain deposits
are lower than those of point bar deposits. The azimuth, in terms
of angles, controls the direction of the material source and flow.
For example, in J2z31–1, most angles
range from 320°–340°, which means that the direction
of the material source runs from northeast (Table ).
Figure 10
Variogram model of meandering river course
sediment control. (Note:
left part of a, b, and c - search core of major, minor and vertical;
right part of a, b, and c - variogram of each direction; gray quadrilateral
in variogram - actual semivariance data; blue quadrilateral in variogram
- fitting variogram data).
Table 2
Variogram Parameters
Controlled by
Different Sedimentary Microfacies
variogram
sedimentary microfacies
horizontal range (major)
horizontal
range (minor)
vertical range
azimuth (deg)
type
main course
1215.8
536.4
8.7
321
spherical
point bar
1025.4
815.2
9.5
332
spherical
flood fan
807.4
445.7
4.3
335
spherical
natural levee
865.45
775.4
3.7
357
spherical
flood plain
1124.5
787.2
2.1
330
spherical
Variogram model of meandering river course
sediment control. (Note:
left part of a, b, and c - search core of major, minor and vertical;
right part of a, b, and c - variogram of each direction; gray quadrilateral
in variogram - actual semivariance data; blue quadrilateral in variogram
- fitting variogram data).Figure presents
an example of meandering river deposition in small layer J2z31-1 in the study area. A spherical variogram
model was selected due to its preferred fitting precision and the
actual data volume.[17] By adjusting the
shape of the search cone and modifying the parameters of the variogram,
the trend of fitting variogram data is according to the actual semivariance
data, which means that the variogram is credible (Figure , right).Finally, the
3D visual effective porosity model was established. Figure shows the sedimentary
microfacies model and corresponding porosity model. Because of microfacies
control, these channel and dam deposits have the best porosity in
the 3D model, and the plane distribution of porosity is controlled
by the sedimentary facies; sandstones deposited in environments, such
as sand sheets, flood fans, and natural levees, have moderate porosity
in the 3D model; flood plain deposits have the worst porosity.
Figure 11
Sedimentary
microfacies model and facies-controlled porosity model:
(a) sedimentary microfacies model; (b) 3D grid diagram of sedimentary
microfacies; (c) 3D porosity model; (d) 3D grid diagram of porosity
Sedimentary
microfacies model and facies-controlled porosity model:
(a) sedimentary microfacies model; (b) 3D grid diagram of sedimentary
microfacies; (c) 3D porosity model; (d) 3D grid diagram of porosity
Prediction of the Grade
of the Heterogeneous
Groundwater Potential Area
When applied to the porous aquifer
in the study area, the established 3D model can serve as a main tool
to predict the groundwater potential area in the study area. A total
of 816,900 grids were generated in the 3D model, indicating that there
are 816,900 porosity values in the 3D model. The minimum, maximum,
and median porosity values are 8.29%, 28.73%, and 16.12%, respectively. Figure shows a histogram
of porosity generated in the 3D porosity model of the study area.
According to the principle of dispersed porosity data and the natural
split point classification rule, threshold values of 14% and 22% are
determined.[18] As a result, the groundwater
potential in the study area was divided into three grades: weak, moderate,
and strong.
Figure 12
Statistical histogram of well log porosity and upscaled
cell porosity.
Statistical histogram of well log porosity and upscaled
cell porosity.
Validation,
Discussion, And Expectations
Validation by Hydrogeological
Observation
Data
To verify the predicted reliability of the 3D heterogeneous
groundwater potential model, long-term hydrogeological observation
hole data were collected from the coal mine, and field test data were
used to validate the groundwater potential classification results
in different strata sequences. The pumping horizon of the observation
hole is mainly concentrated in the Zhiluo Formation (J2z), which is the main aquifer of the coal seam roof, and part of
it is in the Yan ’an Formation. The steady flow method was
used in the pumping test, which is a continuous process without interruption
as far as possible during the test period. In order to reduce error,
the method of three times lowering depth was used for testing. Hydrochemical
tests were used to analyze the groundwater; here, the pH value of
this area is 7.6, the salinity is 1918.87 mg/L, and the type of groundwater
is SO42––Na+·Ca2+.Referring to the classification criteria of hydrogeological
types cited in “Stipulation of Groundwater Prevention and Control
in Coal Mines”, an industry reference standard for coalfield
hydrogeology in China, seven hydrogeological observation hole data
were used for comparisons with the predicted result of the 3D porosity
model (Figure ). There
are 15 different layers which correspond to 12 different sedimentary
environment in the seven hydrogeological observation holes (Table ); all of the holes
were well-proportioned and distributed in different parts of the target
areas. The results show that deposits such as channel and dam deposits
show high unit water inflow and relatively strong groundwater potential,
reaching the medium-strong groundwater potential grade; deposits such
as flood plains and natural levee deposits indicate less unit water
inflow and a weak groundwater potential grade. The specific yield
(q), sedimentary microfacies, and results of the
3D facies-controlled porosity model are well correlated, and the predicted
results are also consistent with the actual data (Table ).
Table 3
Comparison
of Predicted Results of
Facies-Controlled Groundwater Potential in the Study Area
no.
depth (m)
pumping horizon
q (L/s·m)
K (m/d)
sedimentary facies (3D model)
mean predicted porosity (%) (3D model)
predicted result (3D model)
K9-7
625–681
J2z1–2 (625.1–635.4);
0.11441
0.261
flood plain
18.87
moderate
J2z1–1 (635.4–681)
braided channel
K1-7
614–703.5
J2z1–2(624.4–649.4);
0.00466
0.018
flood plain
13.58
weak
J2z1–1 (649.4–696.5)
K8-1
645–682
J2z1–1 (648.7–667.5);
0.127
0.212
braided channel
22.57
strong
J2y (667.5–682)
K4-7
590–658
J2z2–2 (584.4–616.8);
0.1514
0.225
estuary dam
19.34
moderate
J2z2–1 (616.6–652.4)
K6-2
617.5–660.8
J2z2–2 (617.5–624.8);
0.0941
0.198
delta sand beach
20.54
strong
J2z2–1 (624.8–654.3)
underwater channel
K3-4
510.5–600.5
J2z3–2 (498.5–530);
0.1815
0.182
flood plain
16.54
moderate
J2z3–1 (530–564.3);
flood fan
J2z2–2 (560.3–603.4)
estuary dam
K6-3
510.4–572.4
J2z3–2 (527.3–557.5);
0.0086
0.057
flood plain
11.93
weak
J2z3–1 (557.5–572.4)
natural levee
Discussion of the 3D
Groundwater Potential
Area Model
Compared to the 2D groundwater potential method
used in previous research,[1] 3D-visualized
groundwater potential prediction can more directly depict the spatial
form of aquifers. 3D visualized prediction can also quantitatively
represent the groundwater potential of aquifers and connectivity between
different aquifers in 3D space.[22,23] The 3D groundwater
potential model can be used to slice profiles and divide arbitrary
sections into different layers and directions, which is beneficial
for mine hydrogeologists to prevent and predict mine water disasters.
Sedimentary geological bodies were deposited in different geological
periods; thus, the distributed rule of sand bodies in each period
differs due to provenance supply and other reasons, leading to the
complex heterogeneity of sedimentary strata. If the modeling target
layer is simulated as a whole, traditional “one-step modeling”
is relatively simple, and the hardware requirements are low. However,
this method leads to the model not objectively reflecting geological
reality. Therefore, the modeling step after stratigraphic division
can reduce the error caused by modeling as a whole target layer.On the basis of the abundant field outcrop observations and sedimentary
geological development practices, the distribution of sedimentary
facies indicates its intrinsic rules. A certain genetic relationship
is reflected by stratigraphic division and sedimentary models. Sequence
stratigraphic division demonstrates a better understanding of the
dynamic mechanism of controlling sediments, and the sedimentary model
reflects the genetic relationship between different sedimentary facies
and within certain sedimentary facies. Therefore, the model established
by sedimentary facies and sequence stratigraphy should better reflect
reality than the model established by mathematical statistical well
point data.Because of the hydrodynamic differences between
sedimentary environments,
the grain size, component morphology, and contact relationship of
detrital particles vary; thus, the porosities of sand bodies in various
sedimentary facies zones also vary. The application of pure geostatistics
or the “one-step modeling method” offers a certain advantage
for the heterogeneity of attribute distribution in an underground
space. However, the use of pure mathematical or statistical methods
to solve geological problems is often akin to “guessing”
through a “mathematical game”; these methods cannot
combine geological understanding with 3D visualization and digitization.
Thus, facies-controlled modeling, a two-step modeling method, is applied
to establish the model. First, the sedimentary facies model is established.
Second, according to the sandstone porosity distribution law under
the control of different sedimentary facies (sand body), the interwell
attributes are discretized in the model to establish the facies-controlled
porosity model, which is also the groundwater accumulation area model.Although the structure is simple and there is almost no fault development
in the coalfield of the Ordos Basin, mine water inrush accidents still
frequently occur. Moreover, the flow direction of groundwater is also
ill-defined in the in situ leaching of uranium. The fundamental reason
is that the distribution and accumulation of groundwater is unclear.
However, the establishment of a facies-controlled heterogeneous porosity
model can solve this problem. Accurate positioning of the groundwater
potential area provides a better understanding of the heterogeneity
and anisotropy of a coal-measure aquifer, which is of great significance
to the layout of a coal mine work surface and the design of water
drainage projects for the safe production of coal mines. In addition,
many coal-measure aquifers also include uranium ore deposits in the
Ordos Basin; thus, the coexploitation of coal and uranium has become
necessary.In summary, the facies-controlled modeling method
involves a combination
of certainty and randomness. The method not only preserves the heterogeneity
of attribute parameters in the stratum but also reflects geological
understanding, providing geological guarantees for coal mine- and
sandstone-type uranium ore.
Expectations
of a 3D-Distributed Model of
Chemical Elements in Uranium ore
Uranium in situ leaching
is a comprehensive uranium mining and metallurgy technology based
on hydrology, geology, and chemistry. A stable weak permeable roof,
high porosity and permeability, and appropriate geochemical composition
are the three key points of in situ leaching. The leaching agent reacts
chemically with the ore in this process, and Ca2+, Fe2+, Fe3+, Mg2+, and other components
in the ore are filtered out, forming flocculent or massive precipitation,
such as gypsum (CaSO4) and calcite (CaCO3).
This precipitation blocks the flow channel of groundwater and reduces
the efficiency of in situ leaching uranium mining.Thus, a 3D
distributed model of chemical elements in uranium ore is necessary
for in situ leaching. Two key points of element distributed modeling
are identified. First, the relationship between the locations of different
metallogenic belts and the chemical compositions of ores is significant
for in situ leaching because it takes considerable material and financial
resources to test the chemical composition of ores. Second, based
on geostatistical modeling theories such as truncated Gaussian and
sequential indicator simulation, a modified algorithm suitable for
the 3D spatial distribution model of chemical elements is necessary.
Conclusion
A set of established methods
for 3D groundwater potential prediction
models was developed in this research. Based on data from logging
and cores and laboratory experiments, under the control of truncated
Gaussian simulation and facies-controlled modeling, a final model
was built to predict the groundwater potential area in the Ordos Basin,
China. The specific conclusions are as follows:(1) Different
sedimentary microfacies which are affected by sandstone
distribution were identified by sedimentary analysis. Because of differences
in sedimentary genesis, the shape and amplitude of the logging curve
and core are quite different in various sediments at the same time.(2) The lithoelectric relationship of the Zhiluo Formation in the
target area was established. As a result, the porosity of the untested
well section was calculated and analyzed. The statistical results
show that mud-dominated sediments have relatively poor effective porosity;
however, sand-dominated sediments indicate relatively good effective
porosity.(3) The porosity parameters after modeling, indicating
strong heterogeneity
and large differences in the plane and space, were controlled by the
distribution of sedimentary microfacies. According to the principle
of natural fracture point classification, the groundwater potential
area was divided into three grades: weak, moderate, and strong.(4) The validation results indicate that sedimentary areas, such
as channels, delta front bars, and estuary bars, have high specific
yields, and the groundwater potential is relatively strong; however,
the specific yields in flood plains, natural levees, and other mud-dominated
sedimentary areas are small, and the groundwater potential is weak.
The specific field (actual data), sedimentary microfacies, and predicted
porosity of the 3D model showed good correlations, which means that
the predicted model of the groundwater potential area is valid.