 //  ,**0195ῑ

ῒ+ 

 +1  +*  ,2   +1  +,  +/ A Proposal of a New Method for Estimating the Levelof Excessive Drawing of Hot-spring Water based on
the Annual Variations of the Average
Discharge per Hot-spring Well
Noboru HOSOYA
Hosoya O$ce of Professional Engineer

Abstract
This article shows an easy method knowing how the hot-springs resources are used :modestly, properly, excessively. It is based on the statistical analysis of the annualvariations of the average discharge per hot-spring well in various spas in Japan. Using
this method, the author reports various degrees of the hot-spring water utilization of .1
prefectures of Japan including the Metropolis, Hokkaido, Kyoto and Osaka.
Key words : excessive drawing, annual variation, average discharge, centralized controlsystem, statistical analysis
 :  !" #$%& '() *+,-+ῌ ῐ ῍ ῎ ῏./0123 45'()678729:;<=>?@A'()BC6=DEFG
DHDIJ@KL;045MN2AOPQRSTUVWX45YZ67[2\]^_`X
ARJ@a bcQ'()C6defgh2ij2 + N5kh2#$%& lmῌno+31, dp#$%&XqrsS 2 !"2tuA,FG v245w2xy2z]

XDS2Q0D{I g@'()dp2#$%&2!"A|2}~;!=@IA,FG '()22 + fXDSGIhQD 452 D9XDS2Q0D{I Da196    ! "#$%&'()*+,-./0 1+31- 23 456-78! )*+,9:;9<;=>?@AB2CDEF-GH! IJ KLMN O+ PQ =>?@AB2CDRSTPUVWXYZ

 [\]WXY^R_`a,bcd\]! 'efg h! ijBk;lmnopqrstmumvwRS\]@xy\dg ,     45^ +31- 2 1z{ .2 23K)*+,R|}0! ~ -, 2B0 )*+,^45 0] 1! +33* ; ! ,**-3  KL%f_`T
K +30/ 2 K +32. 2e =>?@A-g Table + 145!

,**/3 Table + * +30/ 2+31- 2 1z{ .* 2z{ .2 23 =>?@A)*+,9:

Table +Aveage discharge per hot-spring well at Gero Spa area(based on data published by the Gero Spa business coopertaiton)Noz{2?@Alῌmin
1S3P
1C3+ PQ =>?@Alῌmin
1SῌC3+.*

+30/

15-+/

-*

,.-42-,.++300

.51/.

,,

,+04*3

-.,

+301

232

/

+1340*.

.-+302+503,+,+.+4**/

..

+303

-5*,,

+2+01423

0./

+31*

.5*10

--

+,-4/,

1.0

+31+

/5*3*

-1

+-14/1

2.1+31,/52+1.++.+422

3.2+31-05/..

./+./4.,

+*

.3

+31.

,50./

+0+0/4-+

++

/*

+31/

-5,*,

+3+024/-+,/++310,513*+1+0.4+,

+-/,

+311

,5.21

+.

+1140.

+.

/-+312,5-0,+-+2+403+//.

+313,51/-+-,++411+0//+32*,5/.0++,-+4./+1/0+32+,5/,+++,,34+2+2/1+32,,5.33++,,14+2+3/2+32-,5/13+-+324-2,*/3+32.

,501*

++

,.,41-῏ῑ
῍ῒ
ῌῐ

῏ῑ
῍ῒῌ῎» // ¼ ,**0+ ·2]Q !"Nn.12:;¸Z¹º197

Fig. + Annual change of average discharge of hot-spring water at Gero
Spa area (before the installation of the centralzed control system).

 Table +  0 ῌ
!"#$%&'()*+, Fig. +-./ Fig. + $%&'(0῍123,#45 671289:;<=>?@ -. ABCDC.EF#GHI*./ JEF>KLMNOP0,QR% -.STCU./ J VWXYZ#[*I Fig. +  !"\NR%,]I>^. _#`abcdef(g hi j +33, H+Skl ῌ mn5Copq%,rsnD]I>^.S,tu+/Yvw++.3Xx,,0.+ yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyῌ

z{|: 2+., }ῌ~X : +30/  S. .*  # + SH+ 8}~Y :  }lῌmin~h :  +ῌ 1289:;#.S !">OP0,QR%M
z#H A>B.SH+/^+ ῌ mS Table +  +30/ +31-  S\, Fig. ,C Fig. , >pqR% ῌ m#.+

-./de¡¢ ῌ m£¤Sh-./ ¥N Table , ¦4§ +31- +323  ¨῎ .2 ¨῎ /3  
No. 3No. ,*  !"\ $%&'( #)DS Fig. - n5CSC./

\,KLMN©.R%ª«mN]I>^. _#¬H+!"R%#+­ZS®¯­Z hiH+Sk ῍ mn5Copqm,° ]I>
rs>±²N³D £¤´*/C ῍ mNµ.¶\> Fig. . NG/Yv2Xx+.-.+ yyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy῍z{|: 23., }ῌ~X : +31-  S. .2  # + SH+ 8
Y :  }lῌmin~h :  +ῌ

}~

ῌ῏῍῎

198

Fig. , Scatter diagram of observed valus and regession line (befor theinstallation of the centraized control systam).

* // + ,**0+ 

Table ,

 !"#$%&'()

199

Average discharge per hot-spring well at Gero Spa area (based ondata published by the Gero Spa business coopertaition)
C

+ lῌmin
SῌClῌmin
S

+ .*

+30/

15-+/

-*,.-42-, .++300.51/.

,,,+04*3

-

 .,

+301

232

/+1340*.

 .-+302+503,+,+.+4**

/

 ..

+303

-5*,,

+2+01423

0

 ./

+31*

.5*10

--+,-4/,1

 .0+31+/5*3*-1+-14/12

 .1+31,/52+1.++.+422

3

 .2+31-05/..

./+./4.,

+*

 .3

+31.

,50./

+0+0/4-+++ /*+31/-5,*,+3+024/-+, /++310,513*+1+0.4+,+- /,+311,5.21+.

+1140.

+.

 /-+312,5-0,+-+2+403+/

 /.

+313

,51/-

+-,++411

+0

 //

+32*

,5/.0

++

,-+4./+1

 /0+32+,5/,+++,,34+2+2

 /1+32,,5.33++,,14+2+3

 /2+32-,5/13+-+324-2,*

 /3+32.

,501*

++

,.,41-

Fig. - Annual change of averege discharge of hot-spring water in Gero
Spa area (after the installation centraized control system).

῏ῑ
῍ῒῌῐ



῏ῑ
῍ῒ
ῌ῎ῌ῏῍῎

200Fig. . Scatter diagram of observed values and regression line (after theinstallation of the centraized control system).

» // ¼ R,**0S+ ^+'*+./hiGH*8ºῐ 

201   !"#$%&'()*+,-./012 *+3 ,43 567! *+,-./89 3,43:567!;36<&' ;=>*+,-./6?@ABC9D *+ EF67!3GH&'--+.1 .1 

  IJ .1 KL*+9C3;M98 *+N4 -,+,1 O*+ ,,02+,+12 PlῌminQ R+,.*3,,,1,+/0 Pm-ῌQS *+O4 ,1,-.1 RT +/ UVWXYS LZ' ;[\]AL^+_`ab a cd efῌef9*+g^./hi j39k9C'l;Lm\LnY&2*+mῌ

6op3

B qrLZK + ( + (6st9*+N3u! .1 K"
 6v%Bw&' xyzUVW{#T|}T +/ )L ~*+$%hi RUVW +320},**-S O# RUVW{#S 6%C&'
9 .1 K"#   & R54'BS (C$Z[D{L')&*+N"*+./hi6)*LGH )*+% 6u3&,*+N 2 *+N *+N^+5!xyz-.L  3
&' ,*+ m2 *+l[3/ LZ%&'-,.1 



.1 K0"#   & ¡¢6$%&,

4 RXS 3 RYS 355 £¤1¥*L¦&EF3l'B)§ R2¨©ª P*.*/QL«3S 3m2 *+  mῌ 36¬ .1 K" 6 ῌ  ῍  ῎ ῏  . (4A *+g^./hi6GH!;33&' ­® ῌ 

¯89 3,43°C:±5567 l54 *.0

3q8EF'B)§«32¨©ª *.*/ L2¨LZk' ()
LZk' ;[65,-./3²67A'῍ ³¯89"#LZ 3,43:±55Zk54 *./23¤´8 EF'B)§«32¨©ª *.*/ L2¨L9C "#67!k' 9 ;65,-./kµ3²67A'῎  ῍ ¶L ³·989"#67 3,43¸ ±55Zk54 *./23¤´8 EF'B)§«

3k2¨©ª *.*/ L2¨L9C 2"#67!
k' 9;6,-./¹w3²67A'῏  ·989 3,43¸°C ±55

7¼­

202

  *.1    *.*/       !"  #$%&'()&*+,-./012,345 .1 67()8 09: !; ῌ '()&,<6=6 >?6 @!6 "A6 #B6 $%6 CD6 &E 'F6 ()6)G6 H*6 ID6 $J6 &6 K+6 =J6, +2 -L
῍ '()M5&,<6./6 N06 #)6 O6 12*6 @ 3PQ6 RQ6 QS6 #R6 T46, ++ -L
῎ '()UV&,<6QW6 566 7Q6 8*6 X96 2:6 Y;6 Z[)6, 2 -L
῏ '()&,<6<\ ]^6 _=6 Q>6 ?R6 Y@6 `a6 A)6 b@6 c)6, +* -L%9:de ῌ &,<6B 7fghijk"l%m#n*12eo῏ &,<6B7fg Ced,hijk"Dpn Eq,Fr scL7tGu

H 7vwxy-L 7Iz-LJ 7()K{#M| "LM  j}~#7 ()N-*7fg O#d m0*7(),M<PQ R,b*# ῍ ῎ &ῌ ῏ &GS#  j}fguH

T ῏&, <  U, ῎ &-L nT ῏ &*#VW"R,bn
0%9:{ 7fgde0()8:X :n" ῌ & " ῍&  - YZ

῎ & n" ῏ &*2.ῌ ῎ ῍ ῏
 ~,< [+M%vm2-o7  *on%*  dmn*12##e7"*%* o  "NS  \g  d#n%*# + g"]20,e-L^_ , # ¡m   "!~"7"0* n`n  ¢a,;0+bc£¤*¥¦§¨d©HªV*,«meeo0 -¬fH­ -¬­ 7-®­ 7 g­,h-"#n ¡m .1 67()89:in* n`n"
dj} c£#n¤G ¯7-^_7()8jjk °lm±,n² 7_uHn 7fg³~#^o #n
~#pde<o .1 67()89:*9:qn0ro stp " u¯´S#v ./50    de ¯7-7fg()8µM°l
m±,wx<%*"T  7uH£ %ro¶Q ·"n77()y¸¹ '() dXdº» 7()8" ῎ ῏ & o

< // ¼ ,**0

+ A7µ8¶9·:¸/;¹* º»¯°34 !E203    ! "#$%

&'()*+

, -. !

/012 34 5678*9. :;*, #<= >?@A BCD E @AF*GHIJ# !
῎῍34

*KLMNOῌNPQRST"#UVWXVYZ[\] ^ _`abccVYdef] ghijklY]*mn/ opq"!
"#rst!uRSTv#wxyῌz{wx|"}ῌF# ~$%
rst|"*RSTv#&'ghij(῏ )j  *"!

ῌ*ῌ+ +31, : V, .2ῌ// 2+ῌ2. _ -U!
  +33* :  S.) ,* / -/ῌ,,3 S.)!
0 1 ,**- : ¡ S.) ,* / +/ῌ32 S.)!
S.) ,**/ : ¢3£ S.)!
 23 +33, : ¤4ῌ¥K5¦:K§hR2. -ῌ3+ gji¨6©ª«¬!
wxy +320­,**- : ® ¯° wxyz{F±z{wx|"}  ²³´!