CHAPTER 7 STRAIN RELEASE AND ACCUMULATION The s t r a i n energy released i n earthquake i s through and around the earth as e l a s t i c wave and i s dissipated. ra d i a te d eventually The s t r a i n rebound d u r i n g an earthquake is taken t o be p r o p o r t i o n a l to the square r o o t of the energy r e l e a s e . P a r t of the o r i g i n a l p o t e n t i a l energy of s t r a i n s to r e d i n the rock roust go i n t o mechanical work, as i n r a i s i n g c r u s t a l blocks a g a i n s t g r a v i t y , o r i n cr u s h i n g m a t e r i a l i n the f a u l t zone; p a r t roust be d i s s i p a t e d as he at. Ac co rdin g to Gutenberg and R i c h t e r , the r e l a t i o n s h i p between energy and magnitude of an earthquake i s of th e form o f , log E - 5 .8 + 2 . 4 mb (7) where E i s the energy in ergs and mb i s the u n i f i e d magnitude d e r i v e d from body waves recorded at t e l e s e i s m i c d i s t a n c e s . B e n io ff (1951) has s t u d i e d the s t r a i n r e l e a s e by the w o r l d ' s sh all ow earthquakes and concluded t h a t the r e l e a s e is appr o xi m a t e l y c o ns ta n t s i n c e 1907 (Chouhan, 1979). Chouhan ( 1 9 6 6 ) ha 3 st u d ie d the r e g i o n a l s t r a i n r e l e a s e c h a r a c t e r i s t i c s o f I n d i a n earthquakes. He observed two n o n - l i n e a r segments fo l l o w e d by a l i n e a r one. The s t r a i n c h a r a c t e r i s t i c s of no r t h e a s t I n d i a was s tu di ed i n d e t a i l by Chouhan at a l . (1984). ( 19 66 ) and Goswami Assuming a l i n e a r p r o b a b i l i t y of earthquake occu rre nc e o v e r a period of feu y e a r s , a d i r e c t e x t r a p o l a t i o n of the p a t t e r n 65 of s t r a i n relaaae i n t o immediate f u t u r e can throu some l i g h t on f u t u r e earthquake a c t i v i t y expected in a given r e g i o n . Here, s t r a i n release and accumulation of the earthquakes of nor th ea st Ind ian region as a uhole f o r the period 1897 to 1987, and bl oc kuise energy rele ase studi es have been done. Theory and Wethod of A p p l i c a t i o n D r . Hugo Benioff : (1949) has shown that the p o t e n t i a l energy £p of a volume ( U ) of a rock i s given by, Ep « 0 . 5 yU US2 where (8) i s the c o e f f i c i e n t of shear and S i s the average j u s t r a i n j u s t before the earthquake. Then energy released by s eis m ic waves i s given by Et - 0.5 tJd US2 (9 ) where f i s the f r a c t i o n of energy released as seismic waves. I f the s t r a i n i s reduced to zero d u r i n g the earthquake by some movement along a f a u l t , then the average s t r a i n S is p r o p o r t i o n a l to the f a u l t displacement (Xj.) i . e . S oC or, Xjj S * C Xf (10) uhere C i s the co ns ta n t. From equation ( 9 ) we get , et - 0.5 f LX UC2X2 66 - °i et 4 ( id where G2 » 0 .5 f J U UC2 The equation ( 1 1 ) i m p l i e s t h a t f a u l t displacement ( X ^ ) is p r o p o r t i o n a l to the square r o ot of the energy r e l e a s e . Hence using the magnitude energy r e l a t i o n of Gutenberg and R i c h t e r i n equation ( 1 1 ) ue g e t , i l o g E-j- *» l o g G^Xp 1 G or, Xf 10 = 2 .9 + 1.2 mb 2.9 + 1,2mb ( 12 ) 1 This equation ( 1 2 ) gives the r e l a t i o n between the f a u l t displ aceme nt ( X p ) and earthquake magnitude mb. Thus i f magnitude o f a l l earthquakes o o c u r r i n g i n any one f a u l t system over a per io d of y e a r s , (stra in ) are known, one can p l o t f a u l t displacement that occur d u r i n g t h a t time p e r i o d . g i v e s t r a i n rebound c h a r a c t e r i s t i c s Such p l o t s , which represents s p u r t s of s eismi c a c t i v i t y separated by r e l a t i v e l y quiescent p e r i o d . The r e s u l t i n g c u r v e w i l l be a saw toothed c u r v e , the upper peaks of which r e p r e s e n t the exhaustion of accumulated s t r a i n caused by e a r t h quakes. A l i n e drawn through these peaks, t h e r e f o r e , t h e r a t e of s t r a i n ge ne ra ti on i n gi ve n r e g i o n . r a t e of s t r a i n g e n e ra t io n i n a r e g i o n , i t represents Assuming t h i s i s then p o s s i b l e to i l l u s t r a t e the probable s t r a i n l e v e l s obtained at d i f f e r e n t times by means of a s t r a i n accumulation and r e l a x a t i o n c u r v e . In the b e g i n n i n g of the period df s t u d y , the s t r a i n accumulation and r e l a x a t i o n cur ve s t a r t e d from an a r b i t r a r y l e v e l which r epr ese n t the s t o r e of s t r a i n at th at time. I t i s then made to f o l l o w a 67 s lo p e equal to s t r a in p la c e t im e to rebound th e ra te c h a r a c t e r is t ic s w h ich r e p r e s e n t a x is , o ccu rre n ce o f A p p lic a t io n e a r th q u a k e . o f mean r a t e to th e n o r t h e a s t to n o rth e a s t Burma t e c t o n i c and u n it a d ja c e n t t e c t o n ic 1897 t o ta k e n th e u n it , g e n e r a t io n a g a in u n t il S h illo n g F ig u r e I n d ia n t e c t o n ic p la t e a u , equal h ills in s e p a r a t e ly d u r in g of th e t h r e e t h e p e r io d r e g io n c h a r a c t e r is t ic u s in g d ia g ra m a ll cu rv e e a rth q u a k e s 4 .0 from each b la c k 1897 t o th a t S i n ^ /erg, s in c e e n e rg y r e le a s e have been c a l c u l a t e d s t r a in re p re s e n ts a c c u m u la t io n i s in fo r h a v in g 1987 lin e a g a in S®Cs/T ( e q u a t io n t'wo y e a rs th e s e c u la r s t r a in lin e a r been v e r t ic a l th e s t r a in lin e th e m a s s if re p re se n t fa c to r In d o - and t h e r e le a s e o f e a r t h q u a k e e n e rg y i n s/T w h ich c o n t in u o u s th e e a rth q u a k e m a g n itu d e has r e le a s e In t h i s P lik ir i.e . u n it a re a b lo c k s 4 .0 o r g r e a t e r th a n 12. u n it s re p re se n t T h is on th e j E a s t e r n H im a la y a The lo w e r l i m i t n o rth e a s t shown i n p o in t , th e c u r v e th re e t e c t o n ic The n in e t e e n body wave m a g n itu d e is ta k e s and a c c u m u la t io n method h a v e been 4 .0 mb. The s t r a i n e n t ir e At t h is from by an amount e q u iv a le n t o f s t r a in u n it s h a v e been s t u d ie d as an e a rth q u a k e T h e re fo re I n d ia I n d ia i n c o v e r in g a re a . 1987. o b t a in e d th e n e x t e a r th q u a k e . The e n e rg y r e le a s e t e c t o n ic u n t il r e le a s e o f s t r a i n . o f th a t th e s lo p s a p p lie d g e n e r a t io n th e c u r v e d ro p s v e r t i c a l l y th e s t r a i n f o llo w s o f s t r a in u n it. 9 ). The g e n e r a t io n s h o w in g and may be r e p r e s e n t e d by t h e 68 The Northeast Indian Region 1200 1000 800 600 400 200 0 400 200 0 10 1920 1940 1960 1980 YEARS (a) Strain release characteristics and (b) Strain accumulation and relaxation curve ». for the entire northeast India using all earthquakes having magnitude 4.0 or greater from 1897 to 1987 69 equation, Z S - A + Bt (13) where A 4 B are c o n s t a n t s and t i s the time in y e a r s . From F ig u r e 1 2 (a ) i t i s seen t h a t a f t e r the o c c u r r e n c e o f th e g r e a t Indi an earthquake of 12th 3une, quake energy r e l e a s e was s p o r a d i c . 1897, the e a r t h In between 1918 t o r e l e a s e uas found to be a p p r o x im a t e ly unif or m. In 15th August, 1950 another g r e a t earthquake o c c u r r e d i n t h i s r e g i o n . 1954 t h e energy r e l e a s e seems t o be s m a ll i . e . 1950, the After the t e c t o n i c a c t i v i t y o f the region i s r e l a t i v e l y l e s s . The F ig u r e 12 (b ) shows s t r a i n ac c u m u la ti on and r e l a x a t i o n c u r v e f o r the n o r t h e a s t I n d i a . This F ig u re has been drawn, t h e r a t e o f s t r a i n g e n e r a t i o n from F i g u r e 1 2 ( a ) . lin e The i n c l i n e d r e p r e s e n t s t r a i n a c c um ul a ti on and the v e r t i c a l l i n e s , stra in release. usi ng the The h o r i z o n t a l l i n e drawn through t h e l o w e s t p o i n t s o f t h e s t r a i n accum ula ti on and r e l a x a t i o n c u r v e i s th e r e f e r e n c e s t r a i n l e v e l , which may be used t o d e t e r m in e the accumulated s t r a i n at any t i m e . uas c o n t in u e d upto After 1948 and 1949. 1897, s t r a i n ac cum ula ti on In 1950 and 1951 a l l the accumulated energy uas c o m p l e t e l y r e l e a s e d by a b i g earthquake and i t s is aftershocks. continuing. There a f t e r , s t r a i n energy accum ulat io n Feu accumulated energy uas r e l e a s e d quake o c c u r r e d on 6th August, It is 1988. This i s by an e a r t h a v e r y minor r e l e a s e . i n d i c a t e d t h a t f o r r e l e a s i n g a l l the accumulated s t r a i n t h e r e must be a b i g earthquake in t h i s r e g i o n o f magnitude o f ab out 8 . 0 mb 70 Block 1 and 2 (a part of eastern Himalaya) : The st r a i n re l e a s e c h a r a c t e r is t ic curve f o r blocks 1 and 2 i s shoun in Figure 13. I t is observed that the seismic a c t i v i t y of this region uas r e l a t i v e l y low before 1954. There may be omission of fewer earthquakes in the e a r l i e r period because of the incomplete reporting. The accumulated st ra i n energy was completely released in 1954*1955 and 1959-1960. But a f t e r I960, the seismic a c t i v i t y in this region decreasing, in d ic a tin g that a gradual increase in stored s t r a i n energy. The highest magnitude earthquake may be occur in this region i s to be in the order of 6.4 mb. Block 3. 4 and 5 (a Part of eastern Himalaya) s For blocks 3, 4 and 5, the s t r a i n re lea se and accumulation curve shoun in Figure 14. From f i g u r e i t i s found that from 1928 to 1956 the energy re lea se i s not continuous year by year. But a f t e r that there uas gradual accumulation of s t r a i n u p t i l l nou. This indicates that stored st ra i n energy in those three blocks is f a i r l y high. The highest magnitude earthquake may be occur in near future about 6.9 mb. Block 6 and 19 i Th8 3 e tuo blocks 6 and 19 f a l l s in Assam Syntix region. The s t r a i n rebound c h a r a c t e r is t ic curve for these tuo tectonic blocks is shoun in Figure 15. I t is observed that the seismic a c t i v i t y of north eastern part of northeast India uas lou before 1950 except feu energy release for the earthquake in 1906. After " 3 4 2 Figure 13. lu ce LLl o 4 UJ UJ QZ 3 ^rsj ' rel^a^ > Cearar Pigure 14- (a) strain ib ?train (b) Strain accumulation and relaxatio curve for n curve for the earthquablocks 3, kes of the blocks 1 and 2 YEARS release characteristics and accumulation and relaxation the earthquakes of the 4 and 5 YEARS 71 72 1906 the r a t e of energy r e l e a s e has been seem to in c r e a s e g r a d u a l l y and almost a l l the sto re d energy was relea sed in 1950 due to the major earthquake of 15th August, Figure 1950. The 15 does not i n d i c a t e any l i n e a r s t r a i n ge n e ra t i o n as i n the o th e r blocks of n o r t h e a s t I n d i a . Hence no l i n e a r s t r a i n g e ne ra t io n l i n e of the form o f equa ti on ( 1 3 ) can be draun f o r the block 6 and 19. T h e r e f o r e , u i t h o u t knowledge of s t r a i n g e n e r a t i o n r a t e , no s t r a i n accumulation and r e l a x a t i o n can be draun. Block 7. 8 and 9 : The s t r a i n r e l e a s e c h a r a c t e r i s t i c s f o r the blocks 7, 8 and 9 which comprise of N i k i r massif, K o p i l i lineament etc are shown i n F i g u r e 16. T hi s f i g u r e i n d i c a t e s a lin e a r strain g e n e r a t i o n r a t e n e a r l y uniform earthquake a c t i v i t y upto 1950. The s t r a i n accumulation and r e l a x a t i o n curve are shown i n Figure 16(b). After 1950 the energy r e l e a s e i s also c o nt in u e by some s m a l l magnitude earthquakes but n u m e r i c a l l y i t sm all. is very So we may i n f e r t h a t v e r y hig h l e v e l of accumulation has been found f o r an earthquake h a v i n g magnitude 7.5 mb may occur i n this region. Slock 10. Figure 11. 12 and 13 j 17 shows the s t r a i n r e l e a s e c h a r a c t e r i s t i c s t h e earthquakes of S h i l l o n g p l a t e a u , fa u lt. of Bengal bas in and Dauki The f i g u r e also i n d i c a t e s a l i n e a r r a t e of s t r a i n generation. A f t e r t h e great earthquake r f 12th Jun e, 1897, a m m XJ o Figure 15. Strain release characteristics curve for the earthquakes of the blocks 6 and 19 YEARS Figure 16. (a) Strain release character istics and (b) Strain accu- w mulation and relaxation curve for the earthquakes of the blocks 7, 8 and 9 YEARS Block 7,8 and 9 B lo c k 10,11,12 a n d 13 1900 1940 1920 1960 1980 YEARS Figure 17. (a) Strain release characteristics and (b) Strain accumulation and relaxation curve for the earthquakes of the blocks 10, 11, 12 and 13 75 m ajor and part of 1923 i n curve le ve l re su ltin g the stra in uas two m a j o r e a r t h q u a k e s . re la xa tio n the high accum ulated in release are shoun in of stored released The s t r a i n Figu re energy in 17(b) very low i n d i c a t i n g till 1 9 87 . a high Accum ulated instantan eously stra in le vel stra in may r e s u l t in in of the 1918 four and if and that 1923 Thereafter blocks accumulated by t h a t y e a r 1918 de picts above 7 .0 . th is year accum ulation cle arly the year an e a r t h q u a k e o f m a g n i t u d e o f accum ulated in w er e stra in energy released an e a r t h q u a k e h a v i n g m a g n i t u d e 7 . 7 mb. Block 14 and The s t r a i n from in blocks Figu re a ctivity in release 14 and 18. 15, T his th is 15 ( a P a r t Figu re 18(b). in 1938, 1 9 5 4 and energy release in d icate s that accum ulated of th is region Block a part of is shows alm ost The c u r v e s h o u s 19 87. In the that stra in . u ill and 16, 1 9 38 . relaxatio n three d is t in c t the p r e v io u s are shoun earthquake uniform s in c e The curve is high two y e a r shoun accum ulation accumulated the t h i r d e a rth q u a k e must o c c u r t o The maximum m a g n i t u d e f o r the peak release the earthquake be 7 . 3 mb. 16 ( a p a r t For block earthquakes the by some m o d e r a t e e a r t h q u a k e s . B u t big i Indo-Burm a b ord er accum ulation a fa irly region ch a ra cte ristics of curve c le a r ly correspondin g s t r a in in Indo-Burm a b o rd e r) of I n d o r Burma b o r d e r ) the s t r a i n earthquakes are shoun i n Figu re release 19. This j c h a r a c t e r is t ic s of figu re the ind ic a te s l i n e a r Block 1^and15 YEARS Figure 18. (a) Strain release characteristics and (b) Strain accumulation and relaxation curve for the earthquakes of the blocks 14 and 15 Figure 19. (a) Strain release characteristics and (b) Strain accumulation and relaxation curve for the earth quakes of the block 16 70 s t r a i n g e n e r a t i o n r a t e and n e a r l y uniform earthquake a c t i v i t y . The s t r a i n accu m ul a ti on and r e l a x a t i o n cu r ve are shown in Figure 19(b). The s t o r e d energy a f t e r by an earthquake i n t h e year stored 1954. 1926 was c o m p l e t e l y r e l e a s e T h e r e a f t e r s m a ll amount o f energy uas released by a number o f i n t e r m e d i a t e and sma ll magnitude e ar t h qu ak es . In the year 1987, the accumulated s t r a i n energy uas enough t o produce an earthquake o f magnitude On August 6, 1908 an earthquake o f 7.4 mb. magnitude 6.8mb ac t u a l l y o c c u r r e d in t h i s b l o c k uhich p r o b a b l y r e l e a s e d most of the accumulated s t r a i n . Block 17 (a Part o f Indo-Burma b o r d e r ) : For t h i s b l o c k t h e s t r a i n r e l e a s e c u r v e are shoun in F i g u r e 20. The Figu re 2 0 (b ) shows t h e s t r a i n accu m ul a ti on and r e la x a tio n o f this r e l e a s e d in 7.0 . tecton ic block. The accumulated s t r a i n uas 1932 and 1950 by t h e earthquake having magnitude T h e r e a f t e r t h e r e was grad ua l ac cum ula ti on o f s t r a i n , some o f uhich uas r e l e a s e d in 1970 by an earthquake o f magnitude 6 .5 mb. The accumulated s t r a i n u n t i l u ill 1987, i f released at o n c e , be an earthquake e q u i v a l e n t t o magnitude 7 . 2 mb. Block 18 (a pa rt o f Indo-Burma b o r d e r ) : The s t r a i n r e l e a s e c h a r a c t e r i s t i c s f o r the earthquakes o f t h i s b l o c k are shown in F ig u r e 21. This f i g u r e i n d i c a t e s t h e l i n e a r s t r a i n g e n e r a t i o n . The c o r r e s p o n d i n g s t r a i n ac cum ula ti on and r e l a x a t i o n cur ve i s shoun i n F i g u r e 2 1 ( b ) . uas r e l e a s e d by an earthquake o f magnitude 6 . 4 . The s t o r e d energy A f t e r th at the 79 (ERG) '2 E / 2 (ERG)' 2 Block 17 YEARS Figure 20. (a) Strain release characteristics and (b) Strain accumulation and relaxation curve for the earthquakes of the block 17 Block 18 Figure 21. (a) Strain release characteris -tics and (b) Strain accumula tion and relaxation curve for the earthquakes of the block 18 strain energy seems to be accumulating t i l l I s o s t r a l n r e l e a s e cont o u r 1987. j The s t r a i n energy r e l e a s e of a re g i o n i s a good represen t a t i o n of s eis m ic a c t i v i t y of the region* To determine the energy r e l e a s e from n o r t h e a s t I n d i a ' s earthquakes and to compare the r e l a t i v e a c t i v i t y of d i f f e r e n t pa r t s o f the r e g i o n , ue have a l r e a d y d i v i d e d the whole n o r t h e a s t I n d i a i n t o F o r drawing such type o f con tou r map i t 19 equal b l o c k s . i s necessary to c a l c u l a t e the energy r e l e a s e from each bl ock . The energy released c a l c u l a t e d from 1897 to 1987 i n each block are shown i n Table 11. The values of s t r a i n energy r e l e a s e have been p l o t t e d i n the c e n t r e of each b l o c k . Then the i s o - s t r a i n r e l e a s e contour at the i n t e r v a l of energy va l u e of 10 are drawn. The contour i n F i g u r e 22 gives th e s e i s m i c i t y i n terms of energy r e l e a s e . Again the energy r e l e a s e from each block has been c a l c u l a t e d from 1954 to 1987 as shown i n T a b l e 12. The r e s u l t has been shown i n F i g u r e 23. F i g u r e 22 shows t h a t n o r t h e a s t e r n and southwestern parts o f n o r t h e a s t I n d i a are s e i s m i c a l l y v e r y a c t i v e . T hi s may be due t o the l a r g e amount of energy r e l e a s e by the earthquakes of 1897 (FI * 8 . 7 ) and 1950 (M * 8 . 6 ) , energy r e l e a s e a f t e r ( F ig u r e 23). because c o n s i d e r a t i o n of 1954 does not show these two maxima But i n both cases, h i g h e r a c t i v i t y i n Indo-Burma 82 TABLE 11 j Energy release calculated from each block in northeast India (from 1897 to 1987) Block Energy release s / l X 1 0 10 ergs Block 1 2.5 Block 2 2.5 Block 3 20.9 Block 4 7.6 Block 5 66.7 Block 6 335.5 Block 7 2.4 Block 8 24.4 Block 9 1.7 Block 10 338.8 Block 11 21.6 Block 12 50.0 13 0.5 Block 14 13.5 Block 15 57.4 Block 16 93. 1 Block 17 51.4 Block 18 8.7 Block 19 24.8 Block border is evident. The eastern Himalayan region along the northern main boundary fault also shows relatively higher strain release. Shillong plateau which was the seat of 1897 earthquake seems to show little energy release during the last 80 years or so. 83 Figure 22. Seismic energy release due to earthquakes in northeast India during the period 1897 to 1987 (contour interval is 10 X lO^ergs) TABLE 12 s Energy release calculated from each block in northeast India (from 1954 to 1987) Energy release Block s/E X 1010 ergs 1 2.5 Block 2 2.5 Block 3 3. 1 Block 4 1.3 Block 5 3.6 Block 6 Block 7 1.1 0.2 Block 8 0.7 Block 9 0. 4 Block 10 1.4 Block 11 0.5 Block 12 3. 1 Block 13 0.5 Block 14 13.5 Block 15 29. 6 Block 16 31.0 Block 17 10.2 Block 18 8.7 Block 4.9 Block D iscussion 19 : The pattern of strain release seems to show some correlation uith the geological structure. The strain accumulation and relaxation curves, obtained in the above 85 Figure 23. Seismic energy release due to earthquakes in northeast India during the period 1954 to 1987 (contour interval is 10 X 109ergs) 86 a n a l y s i s , i n each of the nineteen blocks and n o r t h e a s t I n d i a as a whole, provided a v e r y u s e f u l means of e s t i m a t i n g the s i z e of the f u t u r e earthquake* The s t r a i n energy r e l e a s e cu rve s show a r e f e r e n c e and minimum s t r a i n l e v e l which i s used to estimate the amount of s to re d s t r a i n and hence the p o s s i b l e s i z e of earthquakes i f relea sed at a time. the e n t i r e sto re d s t r a i n is The maximum p o s s i b l e magnitude of e a r t h quakes t h a t may occur i n the near f u t u r e i n the no r t h e a s t I n d i a as a whole and the blocks s e p a r a t e l y are shown i n Table 13. These r e s u l t from energy accum ula tion and r e l a x a t i o n show t h a t the p o s s i b i l i t y of b i g earthquake i n n o r t h e a s t I n d i a is ve ry high. TABLE 13 j The magnitude of the f u t u r e earthquakes that, may o ccu r i n no r t h e a s t I n d i a on the basis of energy r e le ase Regions Blo ck Maximum p o s s i b l e body wave magnitude 6.4 1, 2 Block 3, 4, 5 6.9 Block 6, 19 cannot be assigned Block 7, 8, 7.5 9 12, 13 7.7 Block 10, 11, Block 14, 15 Block 16 6.6 Block 17 7.2 Block 18 ' 6 .4 N o r th e a s t I n d i a 8.0 7.3
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