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Optimal Storage Volumes for
Rainwater Catchment Systems in
           Alaska


                     By

Greta Myerchin, Amy Tidwell, Bill Schnabel and
                Daniel White




                 March 2008

      ATTAC Research Report # 200801
TABLE OF CONTENTS

INTRODUCTION............................................................................................................. 1
  Rainwater Catchment System and Storage Requirement ............................................... 1
  Objective ......................................................................................................................... 1

STORAGE RESERVOIR DESIGN................................................................................ 2
  Storage Reservoir Capacity............................................................................................. 2
  Water Usage.................................................................................................................... 2
  Roof Collection Area ...................................................................................................... 3
  Climate and Threshold Temperature .............................................................................. 3
  Precipitation Design Year ............................................................................................... 3

PROCEDURE ................................................................................................................... 4
  Community Selection...................................................................................................... 4
  Optimization Protocol..................................................................................................... 4

RESULTS .......................................................................................................................... 5

SUMMARY ....................................................................................................................... 6

REFERENCES.................................................................................................................. 7

APPENDIX A: Design Year Climate Data for Selected Communities............................ 8

APPENDIX B: Calculation of Current Storage Condition............................................... 9

APPENDIX C: Graphs of Optimal Rainwater Storage Volume for Twelve Alaskan
Locations........................................................................................................................... 10




Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                                                                     i
ATTAC: Alaska Training/Technical Assistance Center
INTRODUCTION

Rainwater Catchment System and Storage Requirement
Rainwater catchment systems are designed to capture and store rainwater for use as a
primary or supplemental water source. In residential homes, stored rainwater can be used
for landscape irrigation or household services such as toilets and laundry. Collected
rainwater may also be used as a source of potable water, although it is recommended that
the stored water be properly tested and/or treated prior to this use.


Design of rainwater catchment systems requires careful consideration of storage capacity.
Inappropriate sizing of a storage tank or reservoir can negatively affect a homeowner in
many ways. Overestimation of the storage requirement can result in an oversized and
needlessly expensive storage system. Undersized storage tanks, on the other hand, may
not fulfill the homeowner’s water use needs.



Objective
The objective of this report is to present computer modeling results intended to estimate
optimal rainwater catchment system storage requirements. The resultant optimal storage
volumes were calculated as a function of water demand, catchment area and local
climatic conditions for twelve Alaskan localities. The data are intended to serve as
storage basin design guidelines to be used during system planning. The guidelines are
intended to supplement, but not replace, the professional judgment of experienced system
designers with site-specific knowledge.


This reports describes the optimal storage capacity for systems designed to collect and
store rainwater during the operational season only (i.e., during non-frozen conditions).
Optimal storage volume is defined here as the minimum tank volume necessary to meet
water use demand through the operational season while maintaining a reserve capacity of
at least 5%.


Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                           1
ATTAC: Alaska Training/Technical Assistance Center
STORAGE RESERVOIR DESIGN
A variety of factors influence storage requirements. In this study, factors relevant to
Alaskan rainwater catchment systems were considered. Such factors included catchment
surface area, collection efficiency, water use rates, and climatic characteristics.

Storage Reservoir Capacity
This study evaluated storage reservoirs with capacities ranging from 100 to 20,000
gallons. Storage tanks fabricated to hold volumes of 100 gallons or less are often used
for transport or as break tanks, but are not often used as primary rainwater storage tanks.
In regions of Alaska where freezing conditions persist, residential exterior tank sizes do
not commonly exceed 2,500 gallons, based on physical and insulation restrictions as well
as product availability (Greer, 2007). In circumstances requiring storage of large
volumes (i.e., greater than 2,500 gallons), interior or underground cisterns may be
utilized. Alternatively, captured rainwater can be routed to natural ponds or engineered
impound structures for storage.

Water Usage
An estimate of water demand was required in order to estimate the appropriate rainwater
reservoir volume. In practice, water demand varies from person to person and according
to lifestyle considerations. While water usage in most Alaskan households is similar to
average US household water use rates, a relatively large proportion of Alaskans reside in
limited water use households. Examples of limited use households include those without
flush toilets, clothes washers, or shower facilities. An estimate of twenty gallons per
capita per day (gpcd) is commonly used when households contain no flush toilet. If a
household contains a flush toilet, water use can increase to 70 gpcd (Johanson, 2002).
Other authors estimate the household water use for a typical family of four to range from
150 to 200 gpd (Siefert, 2004). This report presents results based upon assumed
household water use rates ranging from 5 gpd to 250 gpd.




Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                             2
ATTAC: Alaska Training/Technical Assistance Center
Roof Collection Area
Rainwater catchment area was an additional model input parameter. In order to
effectively interpret the model results, a system designer must estimate the catchment
surface area of the system being designed. If the entire home roof surface is used for
rainwater collection, this can be accomplished by calculating the horizontal surface area
under the roof, including the eaves. Reducing the estimated area by 10% will account for
loss by flushing, overflow, and other loss factors (Johanson, 2002).

Climate and Threshold Temperature
In this study, it was assumed that liquid precipitation was available for rainwater
catchment, but frozen precipitation (i.e., snow, sleet) was only available as spring
snowmelt. Additionally, it was assumed that the total volume of accumulated snow in the
catchment system was sufficient enough to fully recharge the storage reservoir upon
melting. Consequently, each modeled operational season began in the spring with a full
reservoir.


The modeled operational seasons in this report were bound by threshold periods, defined
as 15-day periods during which the average daily air temperature was above or below
specified threshold temperatures. As a result, the operational periods were considered to
begin on Day 1 of the thaw threshold period, and end on Day 15 of the freeze-up
threshold period. In this study, the mean threshold temperature used for calculating thaw
was 0.1 oC, while the mean threshold temperature used for calculating freeze-up was -1.9
o
    C, based upon values recommended by Hinzman (1990).

Precipitation Design Year
The model output presented in this study was based upon typical precipitation patterns
experienced in specific Alaskan localities, as represented by the site-specific design year.
The design years represented actual climate data (e.g., precipitation patterns and thaw
season length) considered to most closely match average conditions for each site studied.
A table located in Appendix A provides further information with respect to the design
year characteristics of each modeled location.


Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                           3
ATTAC: Alaska Training/Technical Assistance Center
PROCEDURE

Community Selection
Selection of the modeled communities was based upon population, climatic
characteristics, and location. Twelve relatively large regional hubs were selected in order
to represent a range of climatic characteristics experienced in various regions throughout
Alaska. The modeled communities included Anchorage, Barrow, Bethel, Delta Junction,
Dutch Harbor, Fairbanks, Juneau, Ketchikan, Kotzebue, Nome, Tok, and Valdez.
Descriptions of the climatic characteristics for each listed community are presented in
Appendix A.

Optimization Protocol
An automated evaluation process was devised to estimate the optimal storage volume
required for each community. The procedure was written in Visual Basic for
Applications and was implemented within Microsoft Excel software. The program first
determined a representative year for design purposes. This design year was selected from
a record of site-specific climate data, and represented the year most indicative of average
site conditions. Next, the program calculated individual tank profiles for a combination
of collection areas, usage rates, and storage capacities. The resultant tank profiles were
graphic representations of the daily water balance, as summarized in the following
equation:

            Current Storage = Initial Storage + Precipitation Inflow – Water Consumed


Please see Appendix B for a more detailed description of the water balance calculations.

Storage optimization graphs, located in Appendix C, were prepared for each community
based upon the results of the water balance algorithm. From these graphs, users can
determine the estimated optimal rainwater storage volume under a given set of
conditions. As described previously, optimal storage capacity is defined as the volume of
storage necessary to meet the water use requirements at all times during the operational
season while maintaining a 5% reserve volume.


Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                            4
ATTAC: Alaska Training/Technical Assistance Center
RESULTS
As described above, optimal storage reservoir volumes were estimated for twelve
Alaskan communities. The resultant estimated optimal volumes are presented in the
graphs in Appendix C. In order to obtain the optimal storage volume for a system under
consideration, the reader is asked to perform the following steps:


    1) Identify the listed community with a climate most similar to that at the location of
        the system being designed. Use the table presented in Appendix A and/or other
        climate resources for this step. Use this community’s graph (Appendix C) for the
        remainder of this procedure.
    2) Estimate the anticipated water demand (gpd) and catchment surface area (ft2) for
        the system under consideration, using recommendations provided in this report or
        elsewhere.
    3) On the appropriate community-specific graph, select the surface area curve
        corresponding to the catchment surface area of the system under design. Identify
        the point on that curve corresponding to the anticipated water demand listed on
        the vertical axis.
    4) The optimal reservoir volume is represented by the point on the horizontal axis
        underlying the point at which the selected surface area curve meets the level of
        anticipated water demand.




Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                          5
ATTAC: Alaska Training/Technical Assistance Center
SUMMARY
Two-thirds of Alaska’s population is serviced by a public water supply, while the
remaining third utilize independent sources such as private wells or commercial delivery
(USGS, 2004). Rainwater collection is an alternative independent water supply practice
that can not only benefit households with little or no available water, but can also reduce
the demand on municipally-managed water resources. In order to aid in the design of
rainwater catchment systems statewide, this study was conducted to estimate optimal
rainwater storage requirements for a group of Alaskan communities experiencing a range
of climate conditions. Optimal rainwater storage volumes for twelve Alaskan locations
can be determined from the graphs in Appendix C.




Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                          6
ATTAC: Alaska Training/Technical Assistance Center
REFERENCES

    1. Greer Tank and Welding, Inc.; http://www.greertank.com/PolyTanks.htm (2007)
    2. Hinzman, L.D.; The Interdependence of the Thermal and Hydrologic Processes of
        an Arctic Watershed and their Response to Climate Change; (1990) University of
        Alaska, Fairbanks.
    3. Siefert, R. D.; Suggestions for Installing Domestic Water Storage Tanks; (2004)
        University of Alaska, Fairbanks Cooperative Extension Service; Building in
        Alaska Series; #HCM-04950.
    4. Alaska Division of Community Advocacy (ADCA) website:
        http://www.commerce.state.ak.us/dca/commdb/CF_COMDB.htm. Demographic
        information for Ketchikan and Fairbanks.
    5. Translators: Johanson N., Seifert R.D. Water Cistern Construction for Small
        House; (2004) University of Alaska, Fairbanks Cooperative Extension Service;
        Alaska Building Research Series; #HCM-01557. From a Norwegian publication:
        BYGGFORSK, NBI A515.161




Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                        7
ATTAC: Alaska Training/Technical Assistance Center
Appendix A

        Design Year Climate Data for Selected Communities


                                                                                Operational
                                                    Operational   Operatioal    Season End
                     Design         Available      Season Length Season Begin      Date
Community             Year       Rainfall (inches)     (days)    Date (Thaw)    (Freezeup)
Anchorage              1977               11.3             212      26-Mar        24-Oct
Barrow                 1986                2.6             107       5-Jun        20-Sep
Bethel                 1978               11.0             171      11-Apr        29-Sep
Delta Junction         1960                8.8             172      14-Apr         3-Oct
Dutch Harbor           1997               54.7             338       1-Jan         5-Dec
Fairbanks              1978                6.9             179       4-Apr        30-Sep
Juneau                 2001               45.0             270      20-Feb        17-Nov
Ketchikan              1952              147.4             333      31-Jan        29-Dec
Kotzebue               1977                6.1             153      4-May          4-Oct
Nome                   1997               10.4             167      21-Apr         5-Oct
Tok                    1985                6.7             172      17-Apr         6-Oct
Valdez                 1976               46.3             243      27-Mar        25-Nov




Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                     8
ATTAC: Alaska Training/Technical Assistance Center
Appendix B

                 Calculation of Current Storage Condition

The current storage on any given day was calculated according to the following equation:


                       S (k ) = S (k − 1) + P(k − 1) ∗ SA − U (k − 1) , where


S(k) = Current day stored water volume
S(k-1) = Previous day stored water volume
P(k-1) = Previous day precipitation
SA = Rainwater catchment surface area
U(k-1) = Previous day water comsumption.


The equation quantified the available water at the start of any given day as a function of
the existing stored volume, the tank recharge, and water consumption. Two physical
constraints imposed on the modeled scenarios dictated that the total storage term could
neither be negative nor could it exceed a specified tank volume.


Please direct further inquiries regarding the modeling methods or results to the authors of
this study. They can be located at the University of Alaska Fairbanks Institute of
Northern Engineering, http://www.alaska.edu/uaf/cem/ine/.




Optimal Storage Volumes for Rainwater Catchment Systems in Alaska                            9
ATTAC: Alaska Training/Technical Assistance Center
Appendix C


    Graphs of Optimal Rainwater Storage Volume for Twelve
                      Alaskan Locations




Optimal Storage Volumes for Rainwater Catchment Systems in Alaska   10
ATTAC: Alaska Training/Technical Assistance Center
Optimal Storage Volumes for Rainwater Catchment Systems in Alaska   11
ATTAC: Alaska Training/Technical Assistance Center
Optimal Storage Volumes for Rainwater Catchment Systems in Alaska   12
ATTAC: Alaska Training/Technical Assistance Center
Optimal Storage Volumes for Rainwater Catchment Systems in Alaska   13
ATTAC: Alaska Training/Technical Assistance Center
Optimal Storage Volumes for Rainwater Catchment Systems in Alaska   14
ATTAC: Alaska Training/Technical Assistance Center
Optimal Storage Volumes for Rainwater Catchment Systems in Alaska   15
ATTAC: Alaska Training/Technical Assistance Center
Optimal Storage Volumes for Rainwater Catchment Systems in Alaska   16
ATTAC: Alaska Training/Technical Assistance Center

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Alaska; Optimal Storage Volumes For Rainwater Catchment Systems In Alaska

  • 1. Optimal Storage Volumes for Rainwater Catchment Systems in Alaska By Greta Myerchin, Amy Tidwell, Bill Schnabel and Daniel White March 2008 ATTAC Research Report # 200801
  • 2. TABLE OF CONTENTS INTRODUCTION............................................................................................................. 1 Rainwater Catchment System and Storage Requirement ............................................... 1 Objective ......................................................................................................................... 1 STORAGE RESERVOIR DESIGN................................................................................ 2 Storage Reservoir Capacity............................................................................................. 2 Water Usage.................................................................................................................... 2 Roof Collection Area ...................................................................................................... 3 Climate and Threshold Temperature .............................................................................. 3 Precipitation Design Year ............................................................................................... 3 PROCEDURE ................................................................................................................... 4 Community Selection...................................................................................................... 4 Optimization Protocol..................................................................................................... 4 RESULTS .......................................................................................................................... 5 SUMMARY ....................................................................................................................... 6 REFERENCES.................................................................................................................. 7 APPENDIX A: Design Year Climate Data for Selected Communities............................ 8 APPENDIX B: Calculation of Current Storage Condition............................................... 9 APPENDIX C: Graphs of Optimal Rainwater Storage Volume for Twelve Alaskan Locations........................................................................................................................... 10 Optimal Storage Volumes for Rainwater Catchment Systems in Alaska i ATTAC: Alaska Training/Technical Assistance Center
  • 3. INTRODUCTION Rainwater Catchment System and Storage Requirement Rainwater catchment systems are designed to capture and store rainwater for use as a primary or supplemental water source. In residential homes, stored rainwater can be used for landscape irrigation or household services such as toilets and laundry. Collected rainwater may also be used as a source of potable water, although it is recommended that the stored water be properly tested and/or treated prior to this use. Design of rainwater catchment systems requires careful consideration of storage capacity. Inappropriate sizing of a storage tank or reservoir can negatively affect a homeowner in many ways. Overestimation of the storage requirement can result in an oversized and needlessly expensive storage system. Undersized storage tanks, on the other hand, may not fulfill the homeowner’s water use needs. Objective The objective of this report is to present computer modeling results intended to estimate optimal rainwater catchment system storage requirements. The resultant optimal storage volumes were calculated as a function of water demand, catchment area and local climatic conditions for twelve Alaskan localities. The data are intended to serve as storage basin design guidelines to be used during system planning. The guidelines are intended to supplement, but not replace, the professional judgment of experienced system designers with site-specific knowledge. This reports describes the optimal storage capacity for systems designed to collect and store rainwater during the operational season only (i.e., during non-frozen conditions). Optimal storage volume is defined here as the minimum tank volume necessary to meet water use demand through the operational season while maintaining a reserve capacity of at least 5%. Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 1 ATTAC: Alaska Training/Technical Assistance Center
  • 4. STORAGE RESERVOIR DESIGN A variety of factors influence storage requirements. In this study, factors relevant to Alaskan rainwater catchment systems were considered. Such factors included catchment surface area, collection efficiency, water use rates, and climatic characteristics. Storage Reservoir Capacity This study evaluated storage reservoirs with capacities ranging from 100 to 20,000 gallons. Storage tanks fabricated to hold volumes of 100 gallons or less are often used for transport or as break tanks, but are not often used as primary rainwater storage tanks. In regions of Alaska where freezing conditions persist, residential exterior tank sizes do not commonly exceed 2,500 gallons, based on physical and insulation restrictions as well as product availability (Greer, 2007). In circumstances requiring storage of large volumes (i.e., greater than 2,500 gallons), interior or underground cisterns may be utilized. Alternatively, captured rainwater can be routed to natural ponds or engineered impound structures for storage. Water Usage An estimate of water demand was required in order to estimate the appropriate rainwater reservoir volume. In practice, water demand varies from person to person and according to lifestyle considerations. While water usage in most Alaskan households is similar to average US household water use rates, a relatively large proportion of Alaskans reside in limited water use households. Examples of limited use households include those without flush toilets, clothes washers, or shower facilities. An estimate of twenty gallons per capita per day (gpcd) is commonly used when households contain no flush toilet. If a household contains a flush toilet, water use can increase to 70 gpcd (Johanson, 2002). Other authors estimate the household water use for a typical family of four to range from 150 to 200 gpd (Siefert, 2004). This report presents results based upon assumed household water use rates ranging from 5 gpd to 250 gpd. Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 2 ATTAC: Alaska Training/Technical Assistance Center
  • 5. Roof Collection Area Rainwater catchment area was an additional model input parameter. In order to effectively interpret the model results, a system designer must estimate the catchment surface area of the system being designed. If the entire home roof surface is used for rainwater collection, this can be accomplished by calculating the horizontal surface area under the roof, including the eaves. Reducing the estimated area by 10% will account for loss by flushing, overflow, and other loss factors (Johanson, 2002). Climate and Threshold Temperature In this study, it was assumed that liquid precipitation was available for rainwater catchment, but frozen precipitation (i.e., snow, sleet) was only available as spring snowmelt. Additionally, it was assumed that the total volume of accumulated snow in the catchment system was sufficient enough to fully recharge the storage reservoir upon melting. Consequently, each modeled operational season began in the spring with a full reservoir. The modeled operational seasons in this report were bound by threshold periods, defined as 15-day periods during which the average daily air temperature was above or below specified threshold temperatures. As a result, the operational periods were considered to begin on Day 1 of the thaw threshold period, and end on Day 15 of the freeze-up threshold period. In this study, the mean threshold temperature used for calculating thaw was 0.1 oC, while the mean threshold temperature used for calculating freeze-up was -1.9 o C, based upon values recommended by Hinzman (1990). Precipitation Design Year The model output presented in this study was based upon typical precipitation patterns experienced in specific Alaskan localities, as represented by the site-specific design year. The design years represented actual climate data (e.g., precipitation patterns and thaw season length) considered to most closely match average conditions for each site studied. A table located in Appendix A provides further information with respect to the design year characteristics of each modeled location. Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 3 ATTAC: Alaska Training/Technical Assistance Center
  • 6. PROCEDURE Community Selection Selection of the modeled communities was based upon population, climatic characteristics, and location. Twelve relatively large regional hubs were selected in order to represent a range of climatic characteristics experienced in various regions throughout Alaska. The modeled communities included Anchorage, Barrow, Bethel, Delta Junction, Dutch Harbor, Fairbanks, Juneau, Ketchikan, Kotzebue, Nome, Tok, and Valdez. Descriptions of the climatic characteristics for each listed community are presented in Appendix A. Optimization Protocol An automated evaluation process was devised to estimate the optimal storage volume required for each community. The procedure was written in Visual Basic for Applications and was implemented within Microsoft Excel software. The program first determined a representative year for design purposes. This design year was selected from a record of site-specific climate data, and represented the year most indicative of average site conditions. Next, the program calculated individual tank profiles for a combination of collection areas, usage rates, and storage capacities. The resultant tank profiles were graphic representations of the daily water balance, as summarized in the following equation: Current Storage = Initial Storage + Precipitation Inflow – Water Consumed Please see Appendix B for a more detailed description of the water balance calculations. Storage optimization graphs, located in Appendix C, were prepared for each community based upon the results of the water balance algorithm. From these graphs, users can determine the estimated optimal rainwater storage volume under a given set of conditions. As described previously, optimal storage capacity is defined as the volume of storage necessary to meet the water use requirements at all times during the operational season while maintaining a 5% reserve volume. Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 4 ATTAC: Alaska Training/Technical Assistance Center
  • 7. RESULTS As described above, optimal storage reservoir volumes were estimated for twelve Alaskan communities. The resultant estimated optimal volumes are presented in the graphs in Appendix C. In order to obtain the optimal storage volume for a system under consideration, the reader is asked to perform the following steps: 1) Identify the listed community with a climate most similar to that at the location of the system being designed. Use the table presented in Appendix A and/or other climate resources for this step. Use this community’s graph (Appendix C) for the remainder of this procedure. 2) Estimate the anticipated water demand (gpd) and catchment surface area (ft2) for the system under consideration, using recommendations provided in this report or elsewhere. 3) On the appropriate community-specific graph, select the surface area curve corresponding to the catchment surface area of the system under design. Identify the point on that curve corresponding to the anticipated water demand listed on the vertical axis. 4) The optimal reservoir volume is represented by the point on the horizontal axis underlying the point at which the selected surface area curve meets the level of anticipated water demand. Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 5 ATTAC: Alaska Training/Technical Assistance Center
  • 8. SUMMARY Two-thirds of Alaska’s population is serviced by a public water supply, while the remaining third utilize independent sources such as private wells or commercial delivery (USGS, 2004). Rainwater collection is an alternative independent water supply practice that can not only benefit households with little or no available water, but can also reduce the demand on municipally-managed water resources. In order to aid in the design of rainwater catchment systems statewide, this study was conducted to estimate optimal rainwater storage requirements for a group of Alaskan communities experiencing a range of climate conditions. Optimal rainwater storage volumes for twelve Alaskan locations can be determined from the graphs in Appendix C. Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 6 ATTAC: Alaska Training/Technical Assistance Center
  • 9. REFERENCES 1. Greer Tank and Welding, Inc.; http://www.greertank.com/PolyTanks.htm (2007) 2. Hinzman, L.D.; The Interdependence of the Thermal and Hydrologic Processes of an Arctic Watershed and their Response to Climate Change; (1990) University of Alaska, Fairbanks. 3. Siefert, R. D.; Suggestions for Installing Domestic Water Storage Tanks; (2004) University of Alaska, Fairbanks Cooperative Extension Service; Building in Alaska Series; #HCM-04950. 4. Alaska Division of Community Advocacy (ADCA) website: http://www.commerce.state.ak.us/dca/commdb/CF_COMDB.htm. Demographic information for Ketchikan and Fairbanks. 5. Translators: Johanson N., Seifert R.D. Water Cistern Construction for Small House; (2004) University of Alaska, Fairbanks Cooperative Extension Service; Alaska Building Research Series; #HCM-01557. From a Norwegian publication: BYGGFORSK, NBI A515.161 Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 7 ATTAC: Alaska Training/Technical Assistance Center
  • 10. Appendix A Design Year Climate Data for Selected Communities Operational Operational Operatioal Season End Design Available Season Length Season Begin Date Community Year Rainfall (inches) (days) Date (Thaw) (Freezeup) Anchorage 1977 11.3 212 26-Mar 24-Oct Barrow 1986 2.6 107 5-Jun 20-Sep Bethel 1978 11.0 171 11-Apr 29-Sep Delta Junction 1960 8.8 172 14-Apr 3-Oct Dutch Harbor 1997 54.7 338 1-Jan 5-Dec Fairbanks 1978 6.9 179 4-Apr 30-Sep Juneau 2001 45.0 270 20-Feb 17-Nov Ketchikan 1952 147.4 333 31-Jan 29-Dec Kotzebue 1977 6.1 153 4-May 4-Oct Nome 1997 10.4 167 21-Apr 5-Oct Tok 1985 6.7 172 17-Apr 6-Oct Valdez 1976 46.3 243 27-Mar 25-Nov Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 8 ATTAC: Alaska Training/Technical Assistance Center
  • 11. Appendix B Calculation of Current Storage Condition The current storage on any given day was calculated according to the following equation: S (k ) = S (k − 1) + P(k − 1) ∗ SA − U (k − 1) , where S(k) = Current day stored water volume S(k-1) = Previous day stored water volume P(k-1) = Previous day precipitation SA = Rainwater catchment surface area U(k-1) = Previous day water comsumption. The equation quantified the available water at the start of any given day as a function of the existing stored volume, the tank recharge, and water consumption. Two physical constraints imposed on the modeled scenarios dictated that the total storage term could neither be negative nor could it exceed a specified tank volume. Please direct further inquiries regarding the modeling methods or results to the authors of this study. They can be located at the University of Alaska Fairbanks Institute of Northern Engineering, http://www.alaska.edu/uaf/cem/ine/. Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 9 ATTAC: Alaska Training/Technical Assistance Center
  • 12. Appendix C Graphs of Optimal Rainwater Storage Volume for Twelve Alaskan Locations Optimal Storage Volumes for Rainwater Catchment Systems in Alaska 10 ATTAC: Alaska Training/Technical Assistance Center
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