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File No.: NB101-00045/44-A.01 1 of 14 Cont. No.: NB19-00559
August 8, 2019
Mr. Matt Wolfe
Environmental Manager
Sibanye Stillwater (East Boulder)
P.O. Box 1227
Big Timber, Montana
USA, 59011
Knight Piésold Ltd.
1650 Main Street West
North Bay, Ontario
Canada, P1B 8G5
T +1 705 476 2165
www.knightpiesold.com
Dear Matt,
RE: East Boulder Mine Stage 6 TSF Expansion - East Boulder River Modelling Assessment
1.0 INTRODUCTION
Stillwater Mining Company (SMC) is in the process of permitting the Stage 6 Tailings Storage Facility (TSF)
expansion at the East Boulder Mine. Knight Piésold Ltd. (KP) prepared the design report for the
Stage 6 TSF expansion (KP, 2019a). The Environmental Assessment for the Stage 6 TSF was initiated
during the first quarter of 2019 by the Montana Department of Environmental Quality (MDEQ) and
Custer Gallatin National Forest (CGNF).
The downstream embankment raise for the Stage 6 TSF expansion results in the downstream embankment
toe being constructed closer to the East Boulder River. The embankment section that is closest to the
East Boulder River was identified as a critical section during the development of the Stage 6 TSF expansion
design. Erosion or potential valley wall (riverbank) instability was identified as a potential risk to the
Stage 6 TSF expansion at the critical section. As a result, an assessment of potential erosion and riverbank
instability was completed to confirm the embankment stability and identify monitoring and mitigation
measures (KP, 2019a).
SMC received an information request from the MDEW and CGNF on May 3, 2019 (Environmental
Resources Management (ERM), 2019) requesting that a HEC-RAS (USACE, 2019) model be completed
to confirm the results of the previous analyses. Additional information on the stream flow estimates that
were obtained from the United States Geological Survey (USGS) StreamStats (USGS, 2017) program was
also requested.
This letter provides the following:
A brief summary of the previously completed riverbank erosion assessment
Additional information on the flow estimates from StreamStats
A summary of the HEC-RAS hydrologic modelling
Updated riverbank and riverbed erosion estimates based on the HEC-RAS hydrologic modelling
The site plan and critical section area are illustrated on Figure 1.
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Figure 1 Site Plan with Monitoring Stations and Photo Locations (Presented in Appendix C)
2.0 PREVIOUS ASSESSMENT
The previous riverbank erosion and stability assessment completed by KP (KP, 2019a) utilized Manning’s
open channel flow equation to estimate flow depths and velocities in the East Boulder River at the critical
section during select return period flood events. The peak flows for the 100, 200, and 500-year flood events
were obtained from StreamStats (USGS, 2017). The 1,000 and 10,000 year peak flows were extrapolated
from the StreamStats values. A Manning’s n value of 0.055, representative of mountain streams with no
vegetation in the channel was selected for the analysis.
The estimated range of flow depths and velocities from Manning’s equation based on the average flow
estimates from StreamStats (USGS, 2017) for the 100 to 10,000 year return period events were as follows:
Flow depth: approximately 3 to 4 ft
Velocity: approximately 10 to 13 fps
It was determined that the estimated flood depths would be fully contained within the existing river channel.
The estimated flow velocities would result in the mobilization of a portion of the riverbed and bank material,
however the largest boulder fractions would remain. Exposure of additional boulders in the eroded bed and
bank would result in additional armoring that would tend to limit the extent of erosion. The erosion/channel
migration potential was concluded to be low based on the observed conditions and estimated flow
August 8, 2019 3 of 14 NB19-00559
conditions during the return period flood events. The assessment concluded that the Stage 6 TSF
embankment will remain stable during operations and in the long-term after closure, even if extreme design
storm events with associated high stream flows should occur within the adjacent East Boulder River
channel.
3.0 STREAMSTATS
StreamStats is a web-based Geographic Information System (GIS) application created by USGS (with the
Environmental Systems Research Institute, Inc. (ESRI)). Users of the application can obtain streamflow
statistics, basin characteristics and other descriptive information for USGS data-collection stations and
user-selected ungaged sites.
The application is available for use in most of the United States and uses data collected nationwide. The
Flood Frequency Map for Montana (which includes a portion of Wyoming in the Yellowstone and Little
Missouri River Basins) is divided into eight hydrologic regions as illustrated on Figure 2. The hydrologic
regions are defined as areas having similar climate, vegetation, and topography. The East Boulder River is
located within the Upper Yellowstone-Central Mountain hydrologic region.
There are 537 streamflow-gaging stations in or near Montana and approximately 90 gaging stations are
used in the regression analyses for the Upper Yellowstone-Central Mountain Hydrologic Region.
Five gaging stations are located in the Boulder River watershed; including one on the East Boulder River,
two on the West Boulder River, and two on the main reach of the Boulder River as shown on Figure 3.
These stations have been collecting data for many decades. For example, the period of record for USGS
Station Number 06197500 (Boulder River near Contact MT) is 1910-1916, 1929, 1951-1969, 1971-1975,
1982-1983, and for USGS Station Number 06198000 (East Boulder River near McLeod) is from
approximately 1907 to 1983.
StreamStats uses regression equations to estimate peak-flow frequencies (i.e. peak flow magnitudes, in
cfs, associated with annual exceedance probabilities of 66.7, 50, 42.9, 20, 10, 4, 2, 1, 0.5, and 0.2 percent)
at ungaged sites. The annual exceedance probabilities correspond to 1.5, 2, 2.33, 5, 10, 25, 50, 100, 200,
and 500-year recurrence intervals, respectively. The regression equations were developed using
generalized least-squares regression or weighted least squares regression (Sando, et. al., 2015). The
regression equations used for Montana are provided in Appendix A (Table A.1). The regression equations,
developed for each of the hydrologic regions, take into account the hydrologic characteristics of each region
including the percentage of the basin that is forest, the percentage of the basin that is above 5,000 feet
elevation, and the percentage of the basin with slopes greater than 30 percent.
The use of StreamStats is deemed to be suitable for the East Boulder River flooding assessment due to
the local stream gaging stations, extensive historical flows records and the regression analysis used to
estimate flows for ungaged streams.
The estimated flows from StreamStats were compared with flow data collected by SMC at monitoring
station EBR-003. The peak flows recorded in May, June and July from 2001 to 2019 at EBR-003 range
from approximately 210 to 760 cfs. These peak flows recorded during the freshet period are similar to the
StreamStats estimates ranging from the 2-year to 50-year return period events (flows of
approximately 220 to 810 cfs).
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Figure 2 Montana Hydrologic Regions (USGS, 2019)
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Figure 3 Boulder River Watershed Stream Gage Locations
4.0 HEC-RAS ANALYSIS
4.1 GENERAL
A two-dimensional (2D) HEC-RAS model was developed to estimate stage and flow velocities at select
locations along the East Boulder River including the critical section that is located at a meander in the
East Boulder River as shown on Figure 1. The 2D HEC-RAS modelling approach utilizes the Full
Momentum (Saint Venant) equation to solve for unsteady river flow. The East Boulder River model was
developed with several datasets including topography (i.e., LiDAR) and land use classification. A graphical
August 8, 2019 6 of 14 NB19-00559
summary of the model setup is provided in Appendix B (Figure B.1) and each model input is described in
detail below.
4.2 TOPOGRAPHY
LiDAR data from the 2016 United States Geological Survey (USGS, 2016), and the recent
2018 survey (Stillwater Mining Company (SMC), 2018) were utilized to create the topographic terrain model
in HEC-RAS. Each LiDAR surface was merged into one composite surface utilizing the blend tool
in ArcMap (Version 10.7). The composite LiDAR surface was imported into HEC-RAS and forms the basis
of water routing within the 2D model.
The LiDAR surface was modified in HEC-RAS to account for the river bathymetry as LiDAR does not
penetrate water. A total of 80 cross sections were defined along the East Boulder River in the HEC-RAS
model and modified to incorporate river bathymetry. The LiDAR ground surface along the river channel was
lowered by approximately 2 ft. in areas where the LiDAR surface did not receive a return signal. The 2 ft.
offset was selected based on the review of the recorded water depths in the East Boulder River hydrometric
monitoring dataset at the time of the 2018 LiDAR survey (May 2018). The bathymetry generated from the
modified sections was used to update the topographic terrain model in HEC-RAS.
4.3 LAND USE CLASSIFICATION
Based on a review of the aerial imagery, site photographs and observed site conditions, land use
classification for the model was divided as follows:
Riverbed and Riverbank Sediments - The riverbed consists largely of cobble sized clasts or larger
particles throughout the model domain. Riverbank materials outside of the high water mark along the
southwest side of the river channel consist of Glacial Till (dense gravel and sand with frequent cobbles
and boulders), riverbank materials along the northeast side of the river channel consists
of Alluvium (compact to dense Sand and Gravel with frequent cobbles) (KP, 2019b).
Forested Areas - Consists largely of densely populated coniferous trees, fallen trees and shrub
undergrowth.
Modified Terrain - Consists of elements of the mine infrastructure and TSF including embankments,
roads, and stockpiles.
Select photographs illustrating the river channel conditions at several locations along the East Boulder River
are provided in Appendix C. The general locations of the photographs are shown on Figure 1.
4.4 BOUNDARY CONDITIONS AND STREAMSTATS DISCHARGE RATES
The HEC-RAS model includes two boundary conditions. The external upgradient boundary condition
consists of a user-defined flow hydrograph that defines the water entry into the model domain. The external
downgradient boundary condition consists of a normal depth function that allows for water to exit the model.
The upstream boundary condition was positioned upstream of the TSF to minimize influence on the model
results and to incorporate the dynamics of the braided portion of the East Boulder River near the southeast
boundary of the TSF. The upstream flow hydrograph boundary condition was defined by the peak discharge
values estimated from StreamStats.
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The average estimated flows in of the East Boulder River for the return period flood events that were
considered for the assessment are summarized in Table 1. Peak flows for the 100, 200 and 500-year return
periods were estimated using StreamStats. The 1,000 year and 10,000 year peak flows were extrapolated
from the StreamStats values.
Table 1 Summary of Average Flood Flows
Flood Return Period
(years)
Peak Flow
(cfs)
100 959
200 1,120
500 1,340
1,000 1,431
10,000 1,888
NOTES: 1. REFERENCED FROM KP, 2019A.
2. PEAK FLOWS UTILIZED AS FLOW HYDROGRAPH VALUES FOR MODEL RUNS.
4.5 MODEL CALIBRATION
SMC provided KP a dataset of detailed streamflow measurements for several locations along the
East Boulder River between 2001 and 2019 (SMC, 2019). The dataset included near monthly profiling of
the East Boulder River from May through November for each year. Profiling consisted of measuring the
water depth and velocity at increments along the river, as well as the stage (if the staff gage was installed).
This dataset allowed for the calibration of both stream velocity and water surface elevation (WSE) with the
results from HEC-RAS.
The data used to calibrate the model was collected at monitoring station EBR-003, located
approximately 1,500 ft. downstream of the critical section area as shown on Figure 1. The discharge and
maximum velocity measurements recorded at EBR-003 are provided in Appendix B (Figure B.2).
To calibrate the HEC-RAS model, the flow hydrograph (upstream boundary condition) was adjusted to
include a range of discharge flow rates similar to the range measured at EBR-003 (10 to 760 cfs). Multiple
model runs were then completed using a range of Manning’s n values for the Riverbed and Riverbank
Sediments in order to determine the most appropriate Manning’s n value to represent the flow conditions
within the East Boulder River. Manning’s n values for Forested Areas and Modified Terrain were kept
constant at 0.10 and 0.04, respectively. The results of each calibration run are illustrated in
Appendix B (Figures B.2, B.3 and B.4) and include a summary of the simulated velocity and discharge
measurements, observed velocity versus modelled velocity and stage versus discharge, respectively. A
root mean square error (RMSE) statistical calculation was completed for each model run to illustrate
calibration of the modelled velocity under varying surface roughness coefficients (Appendix B.5) and river
stage (Appendix B.6). The calibration analyses determined that a Manning’s n value of 0.055 best simulated
the observed velocities at high velocity/discharge levels. Manning’s n values of 0.04 and 0.08 were
August 8, 2019 8 of 14 NB19-00559
evaluated as sensitivity analyses to illustrate the potential range in flow conditions that may occur along the
river channel.
4.6 RESULTS
A summary of the maximum velocities estimated in HEC-RAS for each flood event and the corresponding
estimated river depth at the critical section area is presented in Table 2. Table 2 includes the results of the
previous assessment using Manning’s Open Channel Equation for comparison purposes.
The modelled river velocity and depth is shown in plan and section on Figures 4, 5 and 6 for 100-year,
1,000 year and 10,000 year events, respectively. The estimated river velocity adjacent to the riverbanks
ranges from approximately 1 to 8 fps and the estimated river velocity at the center of the river channel
ranges from approximately 8 to 11 fps.
In general, the modelled depth of flow was approximately 6 inches higher than the estimated depth of flow
using Manning’s open channel equation (KP, 2019a). The corresponding modelled velocity was
approximately 1.5 fps less than along the criterial meander as compared to values determined using
Manning’s open channel equation. The highest velocities along the section correlate to the deepest part of
the channel, with a reduction in velocity towards the riverbanks.
Figure 4 100-Year Return Flood - Modelled River Velocity and Water Depth
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Figure 5 1,000-Year Return Flood - Modelled River Velocity and Water Depth
Figure 6 10,000 - Year Return Period Flood - Modelled River Velocity and Water Depth
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4.6.1 SENSITIVITY ANALYSIS
A sensitivity analysis on the roughness parameter (Manning’s n) was completed to illustrate the potential
effects of variation in stream channel roughness. Model runs were completed using a range of
Manning’s n values (0.04 to 0.08). The results are presented in Table 3. The lower Manning’s n values
resulted in lower flow depths and higher velocities and the higher Manning’s n values resulted in higher
flow depth and lower velocities, as expected. The range in estimated flow depths and velocities is minimal
and the selected values for the roughness parameter are considered reasonable.
5.0 RIVERBANK EROSION POTENTIAL
The maximum particle sizes that may be transported from the riverbed and riverbank were estimated using
Shield’s method (American Society of Civil Engineers (ASCE), 2008; Shields, 1936) which considers the
critical shear stress of the riverbed and riverbank material, the specific gravity of the particles and the
estimated flow depth and slope of the river. Similar to the previous assessment, a critical shear stress value
of 0.054 was assumed for a riverbed consisting of coarse cobbles (USGS, 2013).
The estimated maximum particle sizes that will be transported during the return period flood events ranges
from 11 to 17 inches and are summarized in Table 2. These are the median particle sizes in a well-sorted
bed material mixture that would be at the state of incipient motion during the indicated flood events. Larger
lag boulders that are not part of the sorted mixture would remain stable or would move slightly due to
undermining of adjacent material.
It is noted that the estimated riverbed slope in the previous assessment was 4.8% and the subsequent
assessment included a 2.6% riverbed slope to be consistent with the HEC-RAS model. The reduced
riverbed slope resulted in a reduction in the estimated particle size that would be transported during the
return period events.
Briaud (2013) developed an empirical soil erosion chart to estimate the potential erosion rate of soil and
rock based on velocity. The East Boulder riverbed and riverbank is composed mainly of coarse gravel,
cobbles and boulders. The materials are classified as Low Erodibility to Very Low Erodibility on the soil
erosion chart shown on Figure 7.
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Figure 7 Soil Erosion Chart (Briaud, 2013)
The range of modelled river velocity along the critical section was estimated to be
approximately 2 to 8 ft/s (0.6 to 2.4 m/s) for the riverbanks, and 8 to 10.8 ft/s (2.4 to 3.3 m/s) for the main
channel. Using Briaud’s soil erosion chart (Briaud, 2013) this relates to a bank erosion rate of 0.1 mm/hr to
1 mm/hr, and a channel erosion rate of 1 mm/hr to 3 mm/hr.
If the peak flow during the 10,000-year event was conservatively assumed to occur for a 24-hour period,
the potential lateral erosion of the riverbank during the 10,000-year could range from
approximately 0.1 to 1 inches along the river bank, and 1 to 3 inches along the riverbed. It is noted that the
estimated erosion is smaller than the size of particles that could potentially be mobilized during the return
period events and the erosion magnitude would be similar to size of particles that could be potentially
mobilized.
6.0 CONCLUSIONS
The following conclusions are provided based on the results of the HEC-RAS hydrologic modelling:
The HEC-RAS model results are similar to the previous assessment using Manning’s open channel
equation (KP, 2019a), confirming the earlier velocity, flow depth and erosion estimates.
A Manning’s n of 0.055 for the riverbed and riverbank material was determined to best represent the
observed velocity measurements at EBR-003.
The HEC-RAS velocity profile results illustrate that the highest velocities would occur towards the center
of the river channel and lower velocities would occur along the riverbank during the return period flood
events.
The presence of large boulders in the riverbed and banks provides a buffer against lateral and vertical
erosion, as the exposure of additional boulders by erosion of finer gravel and cobbles will provide an
armoring effect.
The additional hydraulic modelling and erosion analysis confirms that erosion/channel migration
potential is low during the return period flood events and that the riverbank will remain stable during
operations and following closure.
Riverbed and Riverbank material shaded in green
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References:
American Society of Civil Engineers (ASCE), 2008. Sedimentation Engineering. Processes,
Measurements, Modelling and Practice. ASCE Manuals and Reports on Engineering Practice.
No. 110.
Briaud, 2013. Geotechnical Engineering: Unsaturated and Saturated Soils. John Wiley and Sons,
New York.
Environmental Resources Management (ERM), 2019. Technical Memorandum 1. Subject: Review and
Findings for Analysis of River Avulsion/Erosion. May 3.
Knight Piésold Ltd. (KP), 2019a. Detailed Design for Stage 6 TSF Expansion. April 12. North Bay, Ontario.
Ref. No. NB101-44/38-1, Rev 4.
Knight Piésold Ltd. (KP), 2019b. Geological and Geotechnical Site Conditions. May 1. North Bay, Ontario.
Ref. No. NB101-45/44-8, Rev 0.
Sando, R., Sando, S.K., McCarthy, P.M. and Dutton, D.M., 2015. Methods for estimating peak-flow
frequencies at ungaged sites in Montana based on data through water year 2011: Chapter F in
Montana StreamStats. Scientific Investigations Report 2015-5019-F. Prepared in cooperation with
the Montana Department of Natural Resources and Conservation.
Sando, McCarthy, and Dutton, 2016. Temporal trends and stationarity in annual peak flow and peak-flow
timing for selected long-term streamflow-gaging stations in or near Montana through water year
2011: Chapter B in Montana StreamStats. Scientific Investigations Report 2015-5019- B. Prepared
in cooperation with the Montana Department of Transportation and Montana Department of Natural
Resources and Conservation.
Shields, A., 1936. Anwendung der Äenlichkeits-Mechanik und der Turbulenzforschung auf die
Geschiebebewegung, Mitteilungen der Preussische Versuchsanstalt für Wasserbau und Schiffbau,
Berlin, Heft 26. Translation by W.P. Ott and J. C. van Uchelen. Soil Conservation Service, California
Institute of Technology, Pasadena.
Stillwater Mining Company (SMC), 2018. LiDAR Dataset. Acquired May 2018. Received June 2018.
Stillwater Mining Company (SMC), 2019. EBR Flow Data (years 2001 to 2019). Excel Spreadsheets.
Received July 10, 2019 from Marty Talley.
United States Army Corps of Engineers (USACE), 2019. HEC-RAS. Version. 5.07. March.
Hydrologic Engineering Center, River Analysis System.
United States Geological Society (USGS), 2013. Scientific Investigations Report 2008-5093. Retrieved
from: http://pubs.usgs.gov/sir/2008/5093. January 10.
United States Geological Society (USGS), 2016. 1 meter Digital Elevation Models (DEMs) UGSG National
Map 3DEP Collection. Acquisition date August 6 to 11, 2016. Retrieved from
https://catalog.data.gov/dataset/usgs-ned-one-meter-x56y504-mt-stillwater-2016-img-2019
(assessed Downloaded June 18, 2019).
August 8, 2019 14 of 14 NB19-00559
United States Geological Society (USGS), 2017. StreamStats. Retrieved from:
https://water.usgs.gov/osw/streamstats/index.html (assessed April 20, 2017).
United States Geological Society (USGS), 2019. Water Resources of the United States, Montana,
Statewide Rural.
/sf
Flow(2) Depth of Flow Velocity Slope of ChannelEstimated Particle Size for Sediment
Transport(1)Depth of Flow Velocity Slope of Channel
Estimated Particle Size for Sediment
Transport(1)
(years) (cfs) (ft.) (fps) (%) (in) (ft.) (fps) (%) (in)
100 959 3.2 8.8 2.6% 11 2.7 10.2 4.8% 17
200 1,120 3.5 9.3 2.6% 12 2.9 10.7 4.8% 19
500 1,340 3.9 9.8 2.6% 14 3.2 11.3 4.8% 21
1,000 1,431 4.1 10.0 2.6% 14 3.4 11.6 4.8% 22
10,000 1,888 4.7 10.8 2.6% 17 3.9 12.7 4.8% 25
I:\1\01\00045\44\A\Correspondence\NB19-00559- Letter - Detailed East Boulder River Modeling\Rev 0\Tables\[Table 2 - Summary of Water Depth and Flows.xlsx]Table 2
NOTES:
TABLE 2
EAST BOULDER RIVER MODELLING ASSESSMENT
EAST BOULDER MINESTILLWATER MINING COMPANY
Flood Return Period
Print Aug-08-19 12:50:28
2. FLOOD RETURN PERIOD FLOW DETERMINED USING PEAK FLOW STATISTICS FROM STREAMSTATS (AVERAGE INTERVAL)
Manning's Open Channel Flow Equation (KP, 2019)HEC-RAS Model
1. MAXIMUM ESTIMATED TRANSPORTED PARTICLE SIZE CALCULATED USING SHIELDS (SHIELDS, 1936).
SUMMARY OF MODELLED FLOOD FLOWS, DEPTHS AND VELOCITIES, AND SEDIMENT TRANSPORT PARTICLE SIZES
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Page 1 of 1
Depth of Flow Velocity Depth of Flow Velocity Depth of Flow Velocity
(years) (cfs) (ft.) (fps) (ft.) (fps) (ft.) (fps)
100 959 3.2 8.8 2.8 11.2 3.8 6.8
200 1,120 3.5 9.3 3.1 11.4 4.1 7.2
500 1,340 3.9 9.8 3.4 12.0 4.5 7.6
1,000 1,431 4.1 10.0 3.6 12.2 4.7 7.8
10,000 1,888 4.7 10.8 4.2 13.2 5.4 8.4
I:\1\01\00045\44\A\Correspondence\NB19-00559- Letter - Detailed East Boulder River Modeling\Rev 0\Tables\[Table 3 - Summary Sensitivity Analysis.xlsx]Table 3
NOTES:
1. FLOOD RETURN PERIOD FLOW DETERMINED USING PEAK FLOW STATISTICS FROM STREAMSTATS (AVERAGE INTERVAL)
Base Case (n = 0.055) Lower Bound (n = 0.04) Upper Bound (n = 0.08)Flow(1)
STILLWATER MINING COMPANY
TABLE 3
SUMMARY OF SENSITIVITY ANALYSIS
Flood Return Period
Print Aug-08-19 12:52:03
EAST BOULDER RIVER MODELLING ASSESSMENT
EAST BOULDER MINE
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August 8, 2019 NB19-00559
APPENDIX A
StreamStats Regression Equations
(Page A-1)
Regression equation for indicated Q AEP
Number of streamflow-gaging
stations (n )1σ δ
2, in log units MVP , in log units SEP , in percent SEM , in percent Pseudo R 2, in percent
Q 66.7 = 2.75 A 0.825 (E 6000 + 1)0.243 87 0.159 0.167 119.2 115.2 81.6
Q 50 = 4.73 A 0.802 (E 6000 + 1)0.194 91 0.144 0.151 111.0 107.3 81.3
Q 42.9 = 6.40 A 0.792 (E 6000 + 1)0.158 91 0.130 0.136 103.0 99.5 81.7
Q 20 = 19.9 A 0.759 (E 6000 + 1)0.028 91 0.092 0.098 82.4 79.4 82.6
Q 10 = 41.1 A 0.741 (E 6000 + 1)-0.052 91 0.075 0.081 73.0 70.0 82.9
Q 4 = 84.5 A 0.722 (E 6000 + 1)-0.125 91 0.067 0.072 68.4 65.1 82.2
Q 2 = 131 A 0.708 (E 6000 + 1)-0.166 91 0.065 0.071 67.7 64.1 81.0
Q 1 = 189 A 0.695 (E 6000 + 1)-0.199 91 0.067 0.073 69.0 65.2 79.3
Q 0.5 = 262 A 0.683 (E 6000 + 1)-0.227 91 0.071 0.078 71.6 67.4 77.2
Q 0.2 = 384 A 0.668 (E 6000 + 1)-0.258 91 0.079 0.088 77.0 72.4 73.7
NOTES:
TABLE A.1
STILLWATER MINING COMPANYEAST BOULDER MINE
EAST BOULDER RIVER MODELLING ASSESSMENTREGRESSION EQUATIONS FOR ESTIMATING PEAK-FLOW FREQUENCIES AT UNGAGED SITES IN MONTANA
Upper Yellowstone-Central Mountain Hydrologic Region
Print Aug-08-19 11:17:05
1. [QAEP, PEAK-FLOW MAGNITUDE, IN CUBIC FEET PER SECOND, FOR ANNUAL EXCEEDANCE PROBABILITY (AEP) IN PERCENT; N, NUMBER OF STREAMFLOW-GAGING STATIONS USED IN DEVELOPING REGRESSION EQUATIONS FOR INDICATED HYDROLOGIC REGION; ΣΔ2, MODEL ERROR VARIANCE; MVP, MEAN VARIANCE OF PREDICTION; SEP, MEAN STANDARD ERROR OF PREDICTION; SEM, MEAN STANDARD ERROR OF MODEL; PSEUDO R2, PSEUDO COEFFICIENT OF DETERMINATION; A, CONTRIBUTING DRAINAGE AREA, IN SQUARE MILES; P, MEAN ANNUAL PRECIPITATION, IN INCHES; F, PERCENTAGE OF BASIN THAT IS FOREST; E5000, PERCENTAGE OF BASIN ABOVE 5,000 FEET ELEVATION; SLP30, PERCENTAGE OF BASIN WITH SLOPE GREATER THAN 30 PERCENT; ETSPR, MEAN SPRING (MARCH–JUNE) EVAPOTRANSPIRATION, IN INCHES PER MONTH; E6000, PERCENT OF BASIN ABOVE 6,000 FEET ELEVATION].
2. THE NUMBER OF STREAMFLOW-GAGING STATIONS USED IN THE Q66.7 REGRESSION EQUATION FOR A REGION MIGHT DIFFER FROM THE NUMBER OF STREAMFLOW-GAGING STATIONS USED IN ALL OTHER REGRESSION EQUATIONS IN THAT REGION BECAUSE OF STREAMFLOW-GAGING STATIONS WITH UNREPORTED Q66.7 VALUES, WHICH IS DISCUSSED FURTHER IN SANDO, MCCARTHY, AND DUTTON (2016).
I:\1\01\00045\44\A\Correspondence\NB19-00559- Letter - Detailed East Boulder River Modeling\Rev 0\Appendix A - StreamStats Regression Table\[Appendix A - StreamStats Regression Table.xlsx]Appendix Table A.1
3.TABLE ADAPTED FROM: SANDO, R., SANDO, S.K., MCCARTHY, P.M. AND DUTTON, D.M., 2015. METHODS FOR ESTIMATING PEAK-FLOW FREQUENCIES AT UNGAGED SITES IN MONTANA BASED ON DATA THROUGH WATER YEAR 2011: CHAPTER F IN MONTANA STREAMSTATS. SCIENTIFIC INVESTIGATIONS REPORT 2015-5019-F. PREPARED IN COOPERATION WITH THE MONTANA DEPARTMENT OF NATURAL RESOURCES AND CONSERVATION.
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August 8, 2019 NB19-00559
APPENDIX B
HEC-RAS Model Setup and Calibration
(Pages B-1 to B-6)
Riverbed/Riverbank Sediments
Forested Areas Modified Terrain
CAL-1 0.065 0.1 0.04 0.8
CAL-2 0.055 0.1 0.04 0.69
CAL-3 0.06 0.1 0.04 0.78
CAL-4 0.04 0.1 0.04 1.15
CAL-5 0.08 0.1 0.04 1.07
NOTES:1. RMSE CALCULATED USING THE DIFFERENCE BETWEEN THE MODELED AND OBSERVED DATASETS. OBSERVED DATA REGRESSION CALCULATED USING THE FOLLOWING REGRESSION: VELOCITY (ft/s) = 0.4728X0.4401.
Model Trial
Manning’s n Velocity Root Mean Square Error (ft/s)
TABLE B.1
STILLWATER MINING COMPANYEAST BOULDER MINE
EAST BOULDER RIVER MODELLING ASSESSMENTMODELLED VELOCITY CALIBRATION STATISTICS
Print Aug-08-19 11:40:15
I:\1\01\00045\44\A\Correspondence\NB19-00559- Letter - Detailed East Boulder River Modeling\Rev 0\Appendix B - HEC-RAS Results\[Fig B.2, B.3, B.4, Tab B.1, B.2 - EBR-003 - Calibration.xlsx]Table B.1
0 08AUG'19 SBFISSUED WITH LETTER NB19-00559 CNHDATE DESCRIPTION PREP'D RVW'DREV
Page 1 of 1
B-1 of 6
Riverbed/Riverbank Sediments
Forested Areas Modified Terrain
CAL-1 0.065 0.1 0.04 0.81
CAL-2 0.055 0.1 0.04 0.85
CAL-3 0.06 0.1 0.04 0.84
CAL-4 0.04 0.1 0.04 0.95
CAL-5 0.08 0.1 0.04 1.03
NOTES: 1. RMSE CALCULATED USING THE DIFFERENCE BETWEEN THE MODELED AND OBSERVED DATASETS. OBSERVED DATA REGRESSION CALCULATED USING THE FOLLOWING REGRESSION: STAGE (ft)= 5E-08X3 - 5E-05X2 + 0.0168X + 6141.4.
Model Trial
Manning’s n Stage Root Mean Square Error (ft.)
I:\1\01\00045\44\A\Correspondence\NB19-00559- Letter - Detailed East Boulder River Modeling\Rev 0\Appendix B - HEC-RAS Results\[Fig B.2, B.3, B.4, Tab B.1, B.2 - EBR-003 - Calibration.xlsx]Table B.2
Print Aug-08-19 11:40:55
TABLE B.2
STILLWATER MINING COMPANYEAST BOULDER MINE
EAST BOULDER RIVER MODELLING ASSESSMENTMODELLED STAGE CALIBRATION STATISTICS
0 08AUG'19 SBFISSUED WITH LETTER NB19-00559 CNHDATE DESCRIPTION PREP'D RVW'DREV
Page 1 of 1
B-2 of 6
I:\1\01\00045\44\A\Correspondence\NB19-00559- Letter - Detailed East Boulder River Modeling\Rev 0\Appendix B - HEC-RAS Results\[Fig B.1 - Model Setup.xlsx]FIGURE B.1 Print 2019-08-08 11:22 AM
EAST BOULDER RIVER MODELLING ASSESSMENTHEC-RAS MODEL SETUP
FIGURE B.1
STILLWATER MINING COMPANY
EAST BOULDER MINE
REV
P/A NO. REF. NO.
0 08AUG'19 ISSUED WITH LETTER SBF CNH
DATE DESCRIPTION PREP'D RVW'DREV
NB101-45/44 NB19-00559
0
MODEL SETUP
The model domain consisted of approximately 107,000 cells over an area of approximately 0.5 mi2. The cell discretization was set to 12 ft. in the X and Y dimensions and was refined to 4 ft. near the East Boulder River. See B.1.b.
HIGH RESOLUTION LIDAR DATA
REFINEMENT OF THE RIVER CHANNEL
B.1.b
B.1.a
B.1.c
B.1.d
Upstream Hydrograph Boundary Condition
Downstream Normal Depth Boundary Condition
CELL REFINEMENT
B-3 of 6
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y = 0.4728x0.4401
R² = 0.7768
0
1
2
3
4
5
6
7
8
9
10
0 100 200 300 400 500 600 700 800 900
Vel
oci
ty (
ft/s
)
Discharge (cfs)
EBR-003 - Max Velocity vs. Discharge
CAL-1 n=0.065
CAL-2 n=0.055
CAL-3 n=0.06
CAL-4 n=0.04
CAL-5 n=0.08
Power (EBR-003 - Max Velocity vs. Discharge)
NOTES:1. MONITORING PERIOD FROM 2001 TO 2019 DURING APRIL TO NOVEMBER.2. MAXIMUM VELOCITY MEASUREMENTS REPRESENT MAXIMUM VALUE RECORDED AT EBR-003 WITHIN THE MEASURED PROFILE.
0 08AUG'19 ISSUED WITH LETTER SBF CNH
DATE DESCRIPTION PREP'D RVW'DREV
EBR-003 DISCHARGE MONITORING DATA AND CALIBRATION
VELOCITY VS. DISCHARGE
FIGURE B.2
STILLWATER MINING COMPANY
EAST BOULDER MINE
REV
P/A NO. REF. NO.NB101-45/44 NB19-00559
0
B-4 of 6
I:\1\01\00045\44\A\Correspondence\NB19-00559- Letter - Detailed East Boulder River Modeling\Rev 0\Appendix B - HEC-RAS Results\[Fig B.2, B.3, B.4, Tab B.1, B.2 - EBR-003 - Calibration.xlsx]Figure B.3-OBS vs MOD Print 2019-08-08 11:43 AM
1
2
3
4
5
6
7
8
9
10
1 2 3 4 5 6 7 8 9 10
Mo
del
ed V
elo
city
(ft
/s)
Observed Velocity (ft/s)
CAL-1 n=0.065
CAL-2 n=0.055
CAL-3 n=0.06
CAL-4 n=0.04
CAL-5 n=0.08
Match Line
NOTES:1. OBSERVED VELOCITY CALCULATED USING THE FOLLOWING REGRESSION OF THE OBSERVED DATA y = 0.4728x0.4401.
0 08AUG'19 ISSUED WITH LETTER SBF CNH
DATE DESCRIPTION PREP'D RVW'DREV
CORRELATION GRAPHOBSERVED VELOCITY VS. MODELLED VELOCITY
FIGURE B.3
STILLWATER MINING COMPANY
EAST BOULDER MINE
REV
P/A NO. REF. NO.NB101-45/44 NB19-00559
0
B-5 of 6
I:\1\01\00045\44\A\Correspondence\NB19-00559- Letter - Detailed East Boulder River Modeling\Rev 0\Appendix B - HEC-RAS Results\[Fig B.2, B.3, B.4, Tab B.1, B.2 - EBR-003 - Calibration.xlsx]Figure B.4-WSE Print 2019-08-08 11:43 AM
y = 5E-08x3 - 5E-05x2 + 0.0168x + 6141.4R² = 0.9909
6141
6141.5
6142
6142.5
6143
6143.5
6144
0 50 100 150 200 250 300 350 400
Sta
ge
(ft)
Discharge (cfs)
STAGE DISCHARGE MEASUREMENTS AT EBR-003
CAL-7 n=0.065
CAL-8 n=0.055
CAL-9 n=0.06
CAL-10 n=0.04
CAL-11 n=0.08
Poly. (STAGE DISCHARGE MEASUREMENTS AT EBR-003)
NOTES:1. STAGE MONITORING PERIOD FROM 2015 TO 2019 DURING MARCH TO NOVEMBER.2. STAFF GAUGE WATER LEVEL IS RELATED TO LOCAL DATUM AND IS ADJUSTED USING THE LIDAR SURVEY.
0 08AUG'19 ISSUED WITH LETTER SBF CNH
DATE DESCRIPTION PREP'D RVW'DREV
EBR-003 STAGE DISCHARGE MONITORING DATAAND MODEL CALIBRATION
FIGURE B.4
STILLWATER MINING COMPANY
EAST BOULDER MINE
REV
P/A NO. REF. NO.NB101-45/44 NB19-00559
0
B-6 of 6
August 8, 2019 NB19-00559
APPENDIX C
Photo Log
(Pages C-1 to C-5)
EAST BOULDER RIVERSITE PHOTOGRAPHS
August 8, 2019 1 of 5 NB19-00559
PHOTO 1 - Photo Area A (see Figure 1) - Monitoring Station EBR-003 stream gauge, Photo July 13, 2019, looking west.
PHOTO 2 - Photo Area A - Monitoring Station EBR-003, Photo July 13, 2019, looking west.
C-1 of 5
EAST BOULDER RIVERSITE PHOTOGRAPHS
August 8, 2019 2 of 5 NB19-00559
PHOTO 3 - Photo Area B - Critical Section, Photo July 13, 2019, looking southwest.
PHOTO 4 - Photo Area B - Critical Section, Photo July 13, 2019, looking southeast.
C-2 of 5
EAST BOULDER RIVERSITE PHOTOGRAPHS
August 8, 2019 3 of 5 NB19-00559
PHOTO 5 - Photo Area B - Critical Section, Photo July 13, 2019, looking southeast.
PHOTO 6 - Photo Area C - River Channel, Photo July 13, 2019, looking south.
C-3 of 5
EAST BOULDER RIVERSITE PHOTOGRAPHS
August 8, 2019 4 of 5 NB19-00559
PHOTO 7 - Photo Area C - River Channel, Photo July 13, 2019, looking west.
PHOTO 8 - Photo Area C - Floodplain, Photo July 15, 2019, looking north.
C-4 of 5
EAST BOULDER RIVERSITE PHOTOGRAPHS
August 8, 2019 5 of 5 NB19-00559
PHOTO 9 - Photo Area D - Monitoring Station EBR-001, Photo July 13, 2019, looking south.
PHOTO 10 - Photo Area D - Monitoring Station EBR-001, Photo July 13, 2019, looking south.
C-5 of 5