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| number = ML20009D908
| number = ML20009D908
| issue date = 05/31/1981
| issue date = 05/31/1981
| title = Review of Soil-Structure Interaction & Seismic Analysis of Category I Structures,South Tx Project.
| title = Review of Soil-Structure Interaction & Seismic Analysis of Category I Structures,South Tx Project
| author name = Chopra A, Roesset J, Whitman R
| author name = Chopra A, Roesset J, Whitman R
| author affiliation = CALIFORNIA, UNIV. OF, BERKELEY, CA, MASSACHUSETTS INSTITUTE OF TECHNOLOGY, CAMBRIDGE,, TEXAS, UNIV. OF, AUSTIN, TX
| author affiliation = CALIFORNIA, UNIV. OF, BERKELEY, CA, MASSACHUSETTS INSTITUTE OF TECHNOLOGY, CAMBRIDGE,, TEXAS, UNIV. OF, AUSTIN, TX
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REVIEW 0F SOIL-STRUCTURE INTERACTION AND
REVIEW 0F SOIL-STRUCTURE INTERACTION AND SEISMIC ANALYSIS OF CATEGORY I STRUCTURES SOUTH TEXAS PROJECT i
!                                    SEISMIC ANALYSIS OF CATEGORY I STRUCTURES SOUTH TEXAS PROJECT i
Prepared for i
!                                                                  Prepared for i
'g HOUSTON LIGHTING AND POWER COMPANY (3
'g
Houston, Texas i
;                                          HOUSTON LIGHTING AND POWER COMPANY (3                                                               Houston, Texas i
by l
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REVIEW TASK FORCE Dr. R. V. Whitman (Chairman)
REVIEW TASK FORCE Dr. R. V. Whitman (Chairman)
Dr. A. K. Chopra Dr. J. M. Roesset i
Dr. A. K. Chopra Dr. J. M. Roesset i
May 1981 WCC Foreign Document No. WCR-9028-3-1 I
May 1981 WCC Foreign Document No. WCR-9028-3-1 I
8107240490 810721 PDR ADOCK 05000498 A                 PDR 1.._-..-.._---.--.-.-.--...-...-----.----...------..------------------
8107240490 810721 PDR ADOCK 05000498 A
PDR 1.. -..-.. ---.--.-.-.--...-...-----.----...------..------------------


I May 6 , 1981 I Woodward-Clyde Consultants Three Embarcadero Center Suite 700 San Francisco, California 94111 Brown & Root, Incorporated I Post Office Box 3 Houston, Texas 77001 Gentlemen:
I May 6, 1981 I
At your request, we have reviewed soil-structure interaction and seismic analysis of Category I structures for the South Texas Project. Our report is attached. We are pleased to have been of service to you.
Woodward-Clyde Consultants Three Embarcadero Center Suite 700 San Francisco, California 94111 Brown & Root, Incorporated I
:I IO lt- Q Mac Anil K. Chor m
Post Office Box 3 Houston, Texas 77001 Gentlemen:
,                                    Department of Civil Engineering l                                   University of California l                                   Berkeley, California i                                   94720
At your request, we have reviewed soil-structure interaction and seismic analysis of Category I structures for the South Texas Project.
* 0%fhw Jose M. Roesset Department of Civil Engineering University of Texas Austin, Texas 78712 k           .b       g i                                 Robert V. Whitman Department of Civil Engineering Massachusetts Institute of Tech-nology
Our report is attached.
'I                                   Cambridge, Massachusetts 02139 I RVW:mh Enclosure I                                                       %
We are pleased to have been of service to you.
: I IO lt-Q Mac Anil K.
Chor m
Department of Civil Engineering l
University of California l
Berkeley, California i
94720 0%fhw Jose M.
Roesset Department of Civil Engineering University of Texas Austin, Texas 78712 k
.b g
i Robert V.
Whitman Department of Civil Engineering Massachusetts Institute of Tech-nology
'I Cambridge, Massachusetts 02139 I
RVW:mh Enclosure I


f AB LE OF CONTENTS I
f AB LE OF CONTENTS I
I Page Number i
I Page Number i
i   1.0   INTRODUCTIOJ                                                                     l
i 1.0 INTRODUCTIOJ l
:   2. 0 TERMS OF REFERENCES                                                               2 3.0 PROCEDURES FOLLOWED IN THE REVIEW                                                   3 j     4.0   APPLICABILITY OF THE FINITE ELEMENT METHOD                                       5 FOR SOIL-STRUCTGRE INTERACTION ANALYSIS I
: 2. 0 TERMS OF REFERENCES 2
5.0 APPLICA8ILITY OF PROCEDURES USED FOR THE SEISMIC                                   6 ANALYSIS OF CATEGORY I STRUCTURES i
3.0 PROCEDURES FOLLOWED IN THE REVIEW 3
: 6. ') CONSERVATISM IN THE ANALYSIS                                                     7 7.0 CONC LUSIONS                                                                       10 I
j 4.0 APPLICABILITY OF THE FINITE ELEMENT METHOD 5
FOR SOIL-STRUCTGRE INTERACTION ANALYSIS I
5.0 APPLICA8ILITY OF PROCEDURES USED FOR THE SEISMIC 6
ANALYSIS OF CATEGORY I STRUCTURES i
: 6. ')
CONSERVATISM IN THE ANALYSIS 7
7.0 CONC LUSIONS 10 I
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REVIEW OF SOIL-STRUCTURE INTERACTION AND SEISMIC ANALYSIS OF CATEGORY I STRUCTURES, SOUTH TEXAS PROJECT
REVIEW OF SOIL-STRUCTURE INTERACTION AND SEISMIC ANALYSIS OF CATEGORY I STRUCTURES, SOUTH TEXAS PROJECT


==1.0 INTRODUCTION==
==1.0 INTRODUCTION==
 
This review of soil structure interaction and dynamic analysis of Category I structures at the South Texas Proje[t (Units 1 and 2) has been carri d out by a panel of independeat consultants composed of Dr. Anil K. Chopra, Professor of Civil Engineering at the University of California - Berkeley, Dr. Jose M. Roesset, Profesent of Civil Engineering at the University of Texas - Austin, and Dr. Robert V. Whitman, Prof essor of Civil Engineering at the Massachusetts Institute of Techaology.
This review of soil structure interaction and dynamic analysis of Category I structures at the South Texas Proje[t (Units 1 and 2) has been carri d out by a panel of independeat consultants composed of Dr. Anil K. Chopra, Professor of Civil Engineering at the University of California - Berkeley, Dr. Jose M. Roesset, Profesent of Civil Engineering at the University of Texas - Austin, and Dr. Robert V. Whitman, Prof essor of Civil Engineering at the Massachusetts Institute of Techaology.
Dr. Whitman acted as chairman for the panel, who refer to themselves hereaf ter as the Consultants.
Dr. Whitman acted as chairman for the panel, who refer to themselves hereaf ter as the Consultants.
The study of soil-structure interaction had been perf ormed by Woc 3 ward-Clyde Consultants (WCC), using a series of 2-dimensional finite element analyses for several cross sections through the proposed plant.       In each such analysis, the several structures were idealized as solid (but flexible) 2-dimensional bodies and were modelled by finite elements.       The soil was likewise modelled by finite elements, with modulus and damping adjusted for computed dynamic strain.       The results of these analyses were computed time histories of motion at the bases of the several structures.
The study of soil-structure interaction had been perf ormed by Woc 3 ward-Clyde Consultants (WCC), using a series of 2-dimensional finite element analyses for several cross sections through the proposed plant.
These motions were then used by Brown and Root to define input to 3-dimensional, lumped mass, stick models for the structures.       The response of these rigid models, with foundation stif fness and damping to include torsioaal effects, to the input base motions was analyzed using the STRUDL computer program.
In each such analysis, the several structures were idealized as solid (but flexible) 2-dimensional bodies and were modelled by finite elements.
I
The soil was likewise modelled by finite elements, with modulus and damping adjusted for computed dynamic strain.
The results of these analyses were computed time histories of motion at the bases of the several structures.
These motions were then used by Brown and Root to define input to 3-dimensional, lumped mass, stick models for the structures.
The response of these rigid models, with foundation stif fness and damping to include torsioaal effects, to the input base motions was analyzed using the STRUDL computer program.
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The penel was convened by WCC and Brown & Root, Inc. and requested to review finite element soil structure interaction and seismic response analyses specifically used for the STP site and prepare a report.
The penel was convened by WCC and Brown & Root, Inc. and requested to review finite element soil structure interaction and seismic response analyses specifically used for the STP site and prepare a report.
summarizing comments and conclusions based on this review, including the following matters:
summarizing comments and conclusions based on this review, including the following matters:
I     e                       Applicability of the finite element method for soil-structure interaction analyses to the STP site e                       Applicability of procedures used for the seismic analysis of Category I structures e                       Sources of cor.servatism including the input motion e                       Conservatism of results I
I e
Applicability of the finite element method for soil-structure interaction analyses to the STP site e
Applicability of procedures used for the seismic analysis of Category I structures e
Sources of cor.servatism including the input motion e
Conservatism of results I
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i                                      _ _ . _ _ _ _ _ _ _ . _ . . _ _ _ _
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I 3.0 PROCEDORES FOLIDWED IN THE REVIEW A preliminary.eeting at WCC-San Francisco on 23 January,1981 was attended by Urs. Chopra and Roesset. At and subsequent to that meeting, the following documents were provided to the Consultants by WCC:
1.
Woodward-Clyde Consultants, " Soil-Structure Interaction Studies, South Texas Project, Units 1 an!
2," WCC Foreign Document No.
WCR-9026-2-1 I
2.
Woodward-Clyde Consultants, letter dated 20 April 1981 by Charles S. Hedges to Robert V. Whitman, transmitting a copy of the STP FSAR section on the seismicity and earthquake information.
3.
Brown & Root, Inc. "GSDC-Subsection o.1, Seismic Analysis" TRD Document No. 5A369SD001-D/DCN/ll-26-79, Letter ST-BR-WC-1217, SFN:D-0540, dated April 13, 1961.
4.
Brown & Root, Icc. " Final Seismic Analysis of Reactor Containment duilding" TRD Document No. 3N160SR165-A, Letter ST-BR-WC-1226 dated April 27, 1961.
5.
Brown & Root, Inc. " Mathematical Model for the Reactor Builuing; Frequencies, Periods and Mode Shapes of the Reactor Building Model" Letter ST-BR-WC-1208, SFN:
D-0540, P-0087, dated April 6, 1981.
I 6.
Brown & Root, Inc. " Final Design Floor Response Spectra f or Category 1 Structures", South Texas Project, TRD Document No.
3N160S R044-D, Letter ST-BR-WC-1217, SFN:
D-0540, dated April 13, 1981.
7.
Brown & Root, Inc. " Miscellaneous Seismic Analysis" Document No.
3Y600SC 301-A, Letter ST-BR-WC-1230, dated April 29, 1981. '


I  3.0    PROCEDORES FOLIDWED IN THE REVIEW A preliminary .eeting at WCC-San Francisco on 23 January,1981 was attended by Urs. Chopra and Roesset. At and subsequent to that meeting, the following documents were provided to the Consultants by WCC:
: 1. Woodward-Clyde Consultants, " Soil-Structure Interaction Studies, South Texas Project, Units 1 an! 2," WCC Foreign Document No.
WCR-9026-2-1 I      2. Woodward-Clyde Consultants, letter dated 20 April 1981 by Charles S. Hedges to Robert V. Whitman, transmitting a copy of the STP FSAR section on the seismicity and earthquake information.
: 3. Brown & Root, Inc. "GSDC-Subsection o.1,    Seismic Analysis" TRD Document No. 5A369SD001-D/DCN/ll-26-79, Letter ST-BR-WC-1217, SFN:D-0540, dated April 13, 1961.
: 4. Brown & Root, Icc. " Final Seismic Analysis of Reactor Containment duilding" TRD Document No. 3N160SR165-A, Letter ST-BR-WC-1226 dated April 27, 1961.
: 5. Brown & Root, Inc. " Mathematical Model for the Reactor Builuing; Frequencies, Periods and Mode Shapes of the Reactor Building Model" Letter ST-BR-WC-1208, SFN:    D-0540, P-0087, dated April 6, 1981.
I      6. Brown & Root, Inc. " Final Design Floor Response Spectra f or Category 1 Structures", South Texas Project, TRD Document No.
3N160S R044-D, Letter ST-BR-WC-1217, SFN:    D-0540, dated April 13, 1981.
: 7. Brown & Root, Inc. " Miscellaneous Seismic Analysis" Document No.
3Y600SC 301-A , Letter ST-BR-WC-1230, dated April 29, 1981.
The Consultants have also been provided with the report:
The Consultants have also been provided with the report:
I     Woodward-Clyde Consultants, Brown & Root, Inc. and Consultants " Review of Soil-Structure Interaction and Seismic Analysis of Category I Structures; South Texas Project, Units 1 and 2."   Report prepared for Houston Lighting and Power Company, WCC Foreign Document No. WCR-9028-1-3, May 1981.
I Woodward-Clyde Consultants, Brown & Root, Inc. and Consultants " Review of Soil-Structure Interaction and Seismic Analysis of Category I Structures; South Texas Project, Units 1 and 2."
I Based upon a study of these documents, the Consultants generated a number I
Report prepared for Houston Lighting and Power Company, WCC Foreign Document No. WCR-9028-1-3, May 1981.
of questions and rquests for clarifi.:     en which were discussed during a meeting at WCC in San Francisco on 15 April 1981. We have also drawn upon our general familiarity with recent and current practice with regard to soil-structure interaction and seismic analysis.
I Based upon a study of these documents, the Consultants generated a number of questions and rquests for clarifi.:
en which were discussed during a I
meeting at WCC in San Francisco on 15 April 1981. We have also drawn upon our general familiarity with recent and current practice with regard to soil-structure interaction and seismic analysis.
The general approach followed by the Consultants involved:
The general approach followed by the Consultants involved:
e     Developing a thorough understanding of the assumptions made and the procedures used at various stages of the analyses e    Studying selected results for consistency and reasonableness, employing a few crude hand calculations to check some aspects of the computed responses e    Reviewing sCected results in the light of the experience of the consultants.
e Developing a thorough understanding of the assumptions made and the procedures used at various stages of the analyses Studying selected results for consistency and reasonableness, e
Our conclusions reflect combined judgement based on the results of such I considerations.
employing a few crude hand calculations to check some aspects of the computed responses Reviewing sCected results in the light of the experience of the e
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consultants.
Our conclusions reflect combined judgement based on the results of such considerations.
I I I


I 4.0 APPLICABILITY OF THE FINITE ELEMENT METHOD FOR SOIL-STRUCTURE INTERACTION ANALYSIS The two-dimensional finite element method used by WCC was a generally accepted procedure in 1975. From our examination, it is clear that great care was taken in the development of the model for the soil profile and of the finite elemu.t repsc entation, and in the selection of the parameters for the model. All of :he regulatory requirements concerning uncertainty in soil properties and concerning the variations of ground motions with depth were satisfied. The Consultants have examined carefully a number of aspects of the results, particularly the computed response spectra at the base of the Reactor Containment Building. These results appeared to be quite reasonable for the depth of embedment and the soil properties and to be consistent with the natural frequencies of the build!ng.
I 4.0 APPLICABILITY OF THE FINITE ELEMENT METHOD FOR SOIL-STRUCTURE INTERACTION ANALYSIS The two-dimensional finite element method used by WCC was a generally accepted procedure in 1975.
The two-dimensional finite element analysis of course can only approximate the various three-dimensional aspects of the problem:     three-dimensional interaction that occurs for an isolated structure, the three-dimensional aspects of interaction among adjacent s t ruc ture s , and the effect of generalized surface waves impinging upon the complex of structures.       For each of these ef fects, arguments can be made that the effect might lead to either an increase or a decrease in response and the arguments would l   change with system properties and for different frequencies.       At present, there is no method of analysis for embedded structures which is fully developed and implemented in a computer program aad which is reliable and properly takes into account all of these effects plus the heterogenous and non-linear nature of soil. Thus, the results of the WZ analysis procedures, used with proper engineering judgement and conservatism, are satisfactory for soil structure interaction analyses of the STP site.
From our examination, it is clear that great care was taken in the development of the model for the soil profile and of the finite elemu.t repsc entation, and in the selection of the parameters for the model. All of :he regulatory requirements concerning uncertainty in soil properties and concerning the variations of ground motions with depth were satisfied. The Consultants have examined carefully a number of aspects of the results, particularly the computed response spectra at the base of the Reactor Containment Building.
These results appeared to be quite reasonable for the depth of embedment and the soil properties and to be consistent with the natural frequencies of the build!ng.
The two-dimensional finite element analysis of course can only approximate the various three-dimensional aspects of the problem:
three-dimensional interaction that occurs for an isolated structure, the three-dimensional aspects of interaction among adjacent s t ruc ture s, and the effect of generalized surface waves impinging upon the complex of structures.
For each of these ef fects, arguments can be made that the effect might lead to either an increase or a decrease in response and the arguments would l
change with system properties and for different frequencies.
At present, there is no method of analysis for embedded structures which is fully developed and implemented in a computer program aad which is reliable and properly takes into account all of these effects plus the heterogenous and non-linear nature of soil. Thus, the results of the WZ analysis procedures, used with proper engineering judgement and conservatism, are satisfactory for soil structure interaction analyses of the STP site.
In short, if this project were starting up fresh today, the Consultants would accept essentially the same types of analysis as that completed by WCC.
In short, if this project were starting up fresh today, the Consultants would accept essentially the same types of analysis as that completed by WCC.
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5.0 APPLICABILITY OF PROCEDURES USED FOR THE SEISMIC ANALYSIS OF CATEGORY I STRUCTURES The Consultants have reviewed in a general way the me*. hods used by Brown &
5.0 APPLICABILITY OF PROCEDURES USED FOR THE SEISMIC ANALYSIS OF CATEGORY I STRUCTURES The Consultants have reviewed in a general way the me*. hods used by Brown &
Root to compute the dynamic response of a building subjected to a speci-fled time-history of horizontal, vertical or rocking motion at its base.
Root to compute the dynamic response of a building subjected to a speci-fled time-history of horizontal, vertical or rocking motion at its base.
Attention was directed at tne formulation of the analysis, and at the com-puted mode shapes and modal f requencies for the Reactor Containment Building. The Consultants did not review the appropriateness of the lump-ing of masses and springs nor the numerical values assigned to these elements, except for the torsional spring constant for the soil, which was reviewed. The inquiry also did not include the numerical techniques used to complete the analysis, nor did it extend to the accuracy of the com-puter program.
Attention was directed at tne formulation of the analysis, and at the com-puted mode shapes and modal f requencies for the Reactor Containment Building. The Consultants did not review the appropriateness of the lump-ing of masses and springs nor the numerical values assigned to these elements, except for the torsional spring constant for the soil, which was reviewed. The inquiry also did not include the numerical techniques used to complete the analysis, nor did it extend to the accuracy of the com-puter program.
I The prograu used f or the analysis required input motions (horizontal, ver-tical and rocking) at a single point of the base. On the other hand, the finite element analysis by WCC had provided motions at three points of the base. The required vertical, horizontal and rocking motions were computed f rom the three available Lotions under the assumption that the base is ri did. This is a reasonable and rational procedure. A comparison of the response spectra for the resulting single motions with those obtained from the SSI analysis indicates that there were practically no differences.
I The prograu used f or the analysis required input motions (horizontal, ver-tical and rocking) at a single point of the base. On the other hand, the I
The computed mode shapes and f requencies of the Reactor Containment duilding appeared, in general, to be quite reasonable.
finite element analysis by WCC had provided motions at three points of the base. The required vertical, horizontal and rocking motions were computed f rom the three available Lotions under the assumption that the base is ri id.
The Consultants judged it appropriate to use frequency independent stiff-ness and damping to represent the torsional resistance of the soil. The influence of the torsional elements upon the overall response is quite small.
This is a reasonable and rational procedure. A comparison of the d
response spectra for the resulting single motions with those obtained from the SSI analysis indicates that there were practically no differences.
The computed mode shapes and f requencies of the Reactor Containment duilding appeared, in general, to be quite reasonable.
I The Consultants judged it appropriate to use frequency independent stiff-ness and damping to represent the torsional resistance of the soil. The influence of the torsional elements upon the overall response is quite small.
Insof ar as the Consultants could judge, regulatory requirements concerning broadening of floor response spectra peaks and the combining of different motions were satisfied.
Insof ar as the Consultants could judge, regulatory requirements concerning broadening of floor response spectra peaks and the combining of different motions were satisfied.
6.0   CONSERVATISM IN THE ANALYSIS The Consultants identified several aspects of the analysis which introduce conservatism with regard to the forces and floor response spectra developed for design.
6.0 CONSERVATISM IN THE ANALYSIS The Consultants identified several aspects of the analysis which introduce conservatism with regard to the forces and floor response spectra developed for design.
e   The choice of 0.10g f or the SSE and 0.05g for the OBE appears to be quite conservative for the location of the STP, although the Consultants did not attempt to review in detail the seismology and tectonics of the region. For the magnitudes and distances considered, however, an acceleration of 0.07g at the site already is a conservative estimate for tne SSE. Increasing it to 0. log in order to satisfy minimum requirements represents a substantial factor of safety.
e The choice of 0.10g f or the SSE and 0.05g for the OBE appears to be quite conservative for the location of the STP, although the Consultants did not attempt to review in detail the seismology and tectonics of the region. For the magnitudes and distances considered, however, an acceleration of 0.07g at the site already is a conservative estimate for tne SSE.
e     The time series of acceleration used for the SSI analyses have response spectra which are at or above the target spectra in the complete range of frequencies of interest, for all values of damping.
Increasing it to 0. log in order to satisfy minimum requirements represents a substantial factor of safety.
e    In ord . to comply with certain requirements on the f ree-field peak acceleration at the foundation of the deepest building and upon the response spectra at this elevation, the control motions were increased still further (up to 40%) above the just nentioned
e The time series of acceleration used for the SSI analyses have response spectra which are at or above the target spectra in the complete range of frequencies of interest, for all values of damping.
:            values. For most responte frequencies this requirement i
In ord. to comply with certain requirements on the f ree-field e
introduces additional conservatism in the input motions.
peak acceleration at the foundation of the deepest building and upon the response spectra at this elevation, the control motions were increased still further (up to 40%) above the just nentioned values. For most responte frequencies this requirement i
f l
f introduces additional conservatism in the input motions.
I l      e    The approximate procedure f or assigning base motions to the
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;
The approximate procedure f or assigning base motions to the l
Liesel Generator Buildin3 and Fuel Handling duilding is definitely conservative.
e Liesel Generator Buildin3 and Fuel Handling duilding is definitely conservative.
I     e     The heights of mr.ny of the peaks in the floor response spectra are conservatively high. This conservaticra results in part from l
I e
The heights of mr.ny of the peaks in the floor response spectra are conservatively high. This conservaticra results in part from l
mismatches between the natural frequencies of the approximate two-dimensional model for the structure as used in the finite I
mismatches between the natural frequencies of the approximate two-dimensional model for the structure as used in the finite I
element analysis and those for the more detailed three-dimensional model employed for the dynamic analysis of the building. Conservatism is also introduced in the approximations used in the process of accomplishing the analysis; e.g. use of conservative multipliers in the combination of floor response spectra obtained from analyses performed separately for each of the three directions.
element analysis and those for the more detailed three-dimensional model employed for the dynamic analysis of the building. Conservatism is also introduced in the approximations used in the process of accomplishing the analysis; e.g. use of conservative multipliers in the combination of floor response spectra obtained from analyses performed separately for each of the three directions.
I       e   The spectral peaks for vertical motion caused by the vertical OBE appear to be somewbat too high. This conservatism resulted from using a thickness of soil in the finite element model which, while appropriate for the case of horizontal excitation, implies diminished radiation damping under vertical vibrations at frequencies less than about
I e
The spectral peaks for vertical motion caused by the vertical OBE appear to be somewbat too high. This conservatism resulted from using a thickness of soil in the finite element model which, while appropriate for the case of horizontal excitation, implies diminished radiation damping under vertical vibrations at frequencies less than about
* Hz.
* Hz.
The afore mentioned effects are all the result of either deliberate cor.servatism or of using a conservative approximate method of analysis in lieu of a more exact analysis.
The afore mentioned effects are all the result of either deliberate cor.servatism or of using a conservative approximate method of analysis in lieu of a more exact analysis.
There were a number of other steps taken to cover the possible effects of uncertainty in various parameters. Among these steps were the broadening
There were a number of other steps taken to cover the possible effects of uncertainty in various parameters. Among these steps were the broadening
(=   of the peaks of computed spectra and variation of the shear modulus of the soil by -40% and +30% from the expected value. These are prudent steps, which, f or a given control motion, are intended to ensure that actual response will not exceed the response used for design.
(=
of the peaks of computed spectra and variation of the shear modulus of the soil by -40% and +30% from the expected value. These are prudent steps, which, f or a given control motion, are intended to ensure that actual response will not exceed the response used for design.
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The responses c.)mputed for f requencies in the range f rom about 1 Hz to about 3 Hz are nsc ae conservative as thos3 computed at other frequencies. The requirement of enveloping 60% of the control motion's response spectral ordinates is just met in this range and the cegulatory requirement is itself less conservative in this same range.
The responses c.)mputed for f requencies in the range f rom about 1 Hz to about 3 Hz are nsc ae conservative as thos3 computed at other frequencies. The requirement of enveloping 60% of the control motion's response spectral ordinates is just met in this range and the cegulatory requirement is itself less conservative in this same range.
I There is one matter about which the Consultants are neutral with regard to conservatism.
I There is one matter about which the Consultants are neutral with regard to conservatism.
e    Response of the actual 3-dimensional case as compared to the 2-dimensional representation assumed in the analysis of soil-structure interaction. This matter has already been discussed in Section 4. On the one hand, the Consultants cannot prove that the responses to the specified earthquake might not be larger at some frequency than those computed in the 2-dimensional finite element analysis. On the other hand, we know of no arguments, observations or computed results which present compelling proof that the actual responses will be larger.
Response of the actual 3-dimensional case as compared to the 2-e dimensional representation assumed in the analysis of soil-structure interaction.
In this matter, the Consultants feel that there is not convincing evidence of conservatism. This does not mean we feel the computed responses are unconservative. Given the current state of-knowledge we simply cannot be certain and further, we believe that the questions cannot be resolved at this time by further analysis. We are quite satisfied with the results adopted for purposes of design.
This matter has already been discussed in Section 4.
On the one hand, the Consultants cannot prove that the responses to the specified earthquake might not be larger at some frequency than those computed in the 2-dimensional finite element analysis. On the other hand, we know of no arguments, observations or computed results which present compelling proof that the actual responses will be larger.
In this matter, the Consultants feel that there is not convincing evidence of conservatism.
This does not mean we feel the computed responses are unconservative. Given the current state of-knowledge we simply cannot be certain and further, we believe that the questions cannot be resolved at this time by further analysis. We are quite satisfied with the results adopted for purposes of design.
The Consultants have not identified any aspect of the analysis which is clearly unconservative to a significant degree I
The Consultants have not identified any aspect of the analysis which is clearly unconservative to a significant degree I
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7.0 00N.CLUS10SS si                                                                                                                           i kE                 Taking all considerations into account, the Consultants believe that the l
7.0 00N.CLUS10SS si kE Taking all considerations into account, the Consultants believe that the l
procedures used for analysis of soil structuru 1,teraction and dynamic analysis are appropriate for the STP, and - if implemented properly or conservatively     should lead to forces and floor response spectra which are conservative for use in design.                                   Where computed results were examined in detail, they appeared to be either correct or conservative, suggesting appropriate implementation for at least those parts of the analysis.
procedures used for analysis of soil structuru 1,teraction and dynamic analysis are appropriate for the STP, and - if implemented properly or conservatively should lead to forces and floor response spectra which are conservative for use in design.
Where computed results were examined in detail, they appeared to be either correct or conservative, suggesting appropriate implementation for at least those parts of the analysis.
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Latest revision as of 23:55, 22 December 2024

Review of Soil-Structure Interaction & Seismic Analysis of Category I Structures,South Tx Project
ML20009D908
Person / Time
Site: South Texas  STP Nuclear Operating Company icon.png
Issue date: 05/31/1981
From: Chopra A, Roesset J, Whitman R
CALIFORNIA, UNIV. OF, BERKELEY, CA, MASSACHUSETTS INSTITUTE OF TECHNOLOGY, CAMBRIDGE, TEXAS, UNIV. OF, AUSTIN, TX
To:
Shared Package
ML20009D744 List:
References
WCR-9028-3-1, NUDOCS 8107240490
Download: ML20009D908 (11)


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REVIEW 0F SOIL-STRUCTURE INTERACTION AND SEISMIC ANALYSIS OF CATEGORY I STRUCTURES SOUTH TEXAS PROJECT i

Prepared for i

'g HOUSTON LIGHTING AND POWER COMPANY (3

Houston, Texas i

by l

REVIEW TASK FORCE Dr. R. V. Whitman (Chairman)

Dr. A. K. Chopra Dr. J. M. Roesset i

May 1981 WCC Foreign Document No. WCR-9028-3-1 I

8107240490 810721 PDR ADOCK 05000498 A

PDR 1.. -..-.. ---.--.-.-.--...-...-----.----...------..------------------

I May 6, 1981 I

Woodward-Clyde Consultants Three Embarcadero Center Suite 700 San Francisco, California 94111 Brown & Root, Incorporated I

Post Office Box 3 Houston, Texas 77001 Gentlemen:

At your request, we have reviewed soil-structure interaction and seismic analysis of Category I structures for the South Texas Project.

Our report is attached.

We are pleased to have been of service to you.

I IO lt-Q Mac Anil K.

Chor m

Department of Civil Engineering l

University of California l

Berkeley, California i

94720 0%fhw Jose M.

Roesset Department of Civil Engineering University of Texas Austin, Texas 78712 k

.b g

i Robert V.

Whitman Department of Civil Engineering Massachusetts Institute of Tech-nology

'I Cambridge, Massachusetts 02139 I

RVW:mh Enclosure I

f AB LE OF CONTENTS I

I Page Number i

i 1.0 INTRODUCTIOJ l

2. 0 TERMS OF REFERENCES 2

3.0 PROCEDURES FOLLOWED IN THE REVIEW 3

j 4.0 APPLICABILITY OF THE FINITE ELEMENT METHOD 5

FOR SOIL-STRUCTGRE INTERACTION ANALYSIS I

5.0 APPLICA8ILITY OF PROCEDURES USED FOR THE SEISMIC 6

ANALYSIS OF CATEGORY I STRUCTURES i

6. ')

CONSERVATISM IN THE ANALYSIS 7

7.0 CONC LUSIONS 10 I

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REVIEW OF SOIL-STRUCTURE INTERACTION AND SEISMIC ANALYSIS OF CATEGORY I STRUCTURES, SOUTH TEXAS PROJECT

1.0 INTRODUCTION

This review of soil structure interaction and dynamic analysis of Category I structures at the South Texas Proje[t (Units 1 and 2) has been carri d out by a panel of independeat consultants composed of Dr. Anil K. Chopra, Professor of Civil Engineering at the University of California - Berkeley, Dr. Jose M. Roesset, Profesent of Civil Engineering at the University of Texas - Austin, and Dr. Robert V. Whitman, Prof essor of Civil Engineering at the Massachusetts Institute of Techaology.

Dr. Whitman acted as chairman for the panel, who refer to themselves hereaf ter as the Consultants.

The study of soil-structure interaction had been perf ormed by Woc 3 ward-Clyde Consultants (WCC), using a series of 2-dimensional finite element analyses for several cross sections through the proposed plant.

In each such analysis, the several structures were idealized as solid (but flexible) 2-dimensional bodies and were modelled by finite elements.

The soil was likewise modelled by finite elements, with modulus and damping adjusted for computed dynamic strain.

The results of these analyses were computed time histories of motion at the bases of the several structures.

These motions were then used by Brown and Root to define input to 3-dimensional, lumped mass, stick models for the structures.

The response of these rigid models, with foundation stif fness and damping to include torsioaal effects, to the input base motions was analyzed using the STRUDL computer program.

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2.0 TERMS OF REFERENCE l

The penel was convened by WCC and Brown & Root, Inc. and requested to review finite element soil structure interaction and seismic response analyses specifically used for the STP site and prepare a report.

summarizing comments and conclusions based on this review, including the following matters:

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Applicability of the finite element method for soil-structure interaction analyses to the STP site e

Applicability of procedures used for the seismic analysis of Category I structures e

Sources of cor.servatism including the input motion e

Conservatism of results I

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I 3.0 PROCEDORES FOLIDWED IN THE REVIEW A preliminary.eeting at WCC-San Francisco on 23 January,1981 was attended by Urs. Chopra and Roesset. At and subsequent to that meeting, the following documents were provided to the Consultants by WCC:

1.

Woodward-Clyde Consultants, " Soil-Structure Interaction Studies, South Texas Project, Units 1 an!

2," WCC Foreign Document No.

WCR-9026-2-1 I

2.

Woodward-Clyde Consultants, letter dated 20 April 1981 by Charles S. Hedges to Robert V. Whitman, transmitting a copy of the STP FSAR section on the seismicity and earthquake information.

3.

Brown & Root, Inc. "GSDC-Subsection o.1, Seismic Analysis" TRD Document No. 5A369SD001-D/DCN/ll-26-79, Letter ST-BR-WC-1217, SFN:D-0540, dated April 13, 1961.

4.

Brown & Root, Icc. " Final Seismic Analysis of Reactor Containment duilding" TRD Document No. 3N160SR165-A, Letter ST-BR-WC-1226 dated April 27, 1961.

5.

Brown & Root, Inc. " Mathematical Model for the Reactor Builuing; Frequencies, Periods and Mode Shapes of the Reactor Building Model" Letter ST-BR-WC-1208, SFN:

D-0540, P-0087, dated April 6, 1981.

I 6.

Brown & Root, Inc. " Final Design Floor Response Spectra f or Category 1 Structures", South Texas Project, TRD Document No.

3N160S R044-D, Letter ST-BR-WC-1217, SFN:

D-0540, dated April 13, 1981.

7.

Brown & Root, Inc. " Miscellaneous Seismic Analysis" Document No.

3Y600SC 301-A, Letter ST-BR-WC-1230, dated April 29, 1981. '

The Consultants have also been provided with the report:

I Woodward-Clyde Consultants, Brown & Root, Inc. and Consultants " Review of Soil-Structure Interaction and Seismic Analysis of Category I Structures; South Texas Project, Units 1 and 2."

Report prepared for Houston Lighting and Power Company, WCC Foreign Document No. WCR-9028-1-3, May 1981.

I Based upon a study of these documents, the Consultants generated a number of questions and rquests for clarifi.:

en which were discussed during a I

meeting at WCC in San Francisco on 15 April 1981. We have also drawn upon our general familiarity with recent and current practice with regard to soil-structure interaction and seismic analysis.

The general approach followed by the Consultants involved:

e Developing a thorough understanding of the assumptions made and the procedures used at various stages of the analyses Studying selected results for consistency and reasonableness, e

employing a few crude hand calculations to check some aspects of the computed responses Reviewing sCected results in the light of the experience of the e

consultants.

Our conclusions reflect combined judgement based on the results of such considerations.

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I 4.0 APPLICABILITY OF THE FINITE ELEMENT METHOD FOR SOIL-STRUCTURE INTERACTION ANALYSIS The two-dimensional finite element method used by WCC was a generally accepted procedure in 1975.

From our examination, it is clear that great care was taken in the development of the model for the soil profile and of the finite elemu.t repsc entation, and in the selection of the parameters for the model. All of :he regulatory requirements concerning uncertainty in soil properties and concerning the variations of ground motions with depth were satisfied. The Consultants have examined carefully a number of aspects of the results, particularly the computed response spectra at the base of the Reactor Containment Building.

These results appeared to be quite reasonable for the depth of embedment and the soil properties and to be consistent with the natural frequencies of the build!ng.

The two-dimensional finite element analysis of course can only approximate the various three-dimensional aspects of the problem:

three-dimensional interaction that occurs for an isolated structure, the three-dimensional aspects of interaction among adjacent s t ruc ture s, and the effect of generalized surface waves impinging upon the complex of structures.

For each of these ef fects, arguments can be made that the effect might lead to either an increase or a decrease in response and the arguments would l

change with system properties and for different frequencies.

At present, there is no method of analysis for embedded structures which is fully developed and implemented in a computer program aad which is reliable and properly takes into account all of these effects plus the heterogenous and non-linear nature of soil. Thus, the results of the WZ analysis procedures, used with proper engineering judgement and conservatism, are satisfactory for soil structure interaction analyses of the STP site.

In short, if this project were starting up fresh today, the Consultants would accept essentially the same types of analysis as that completed by WCC.

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5.0 APPLICABILITY OF PROCEDURES USED FOR THE SEISMIC ANALYSIS OF CATEGORY I STRUCTURES The Consultants have reviewed in a general way the me*. hods used by Brown &

Root to compute the dynamic response of a building subjected to a speci-fled time-history of horizontal, vertical or rocking motion at its base.

Attention was directed at tne formulation of the analysis, and at the com-puted mode shapes and modal f requencies for the Reactor Containment Building. The Consultants did not review the appropriateness of the lump-ing of masses and springs nor the numerical values assigned to these elements, except for the torsional spring constant for the soil, which was reviewed. The inquiry also did not include the numerical techniques used to complete the analysis, nor did it extend to the accuracy of the com-puter program.

I The prograu used f or the analysis required input motions (horizontal, ver-tical and rocking) at a single point of the base. On the other hand, the I

finite element analysis by WCC had provided motions at three points of the base. The required vertical, horizontal and rocking motions were computed f rom the three available Lotions under the assumption that the base is ri id.

This is a reasonable and rational procedure. A comparison of the d

response spectra for the resulting single motions with those obtained from the SSI analysis indicates that there were practically no differences.

The computed mode shapes and f requencies of the Reactor Containment duilding appeared, in general, to be quite reasonable.

I The Consultants judged it appropriate to use frequency independent stiff-ness and damping to represent the torsional resistance of the soil. The influence of the torsional elements upon the overall response is quite small.

Insof ar as the Consultants could judge, regulatory requirements concerning broadening of floor response spectra peaks and the combining of different motions were satisfied.

6.0 CONSERVATISM IN THE ANALYSIS The Consultants identified several aspects of the analysis which introduce conservatism with regard to the forces and floor response spectra developed for design.

e The choice of 0.10g f or the SSE and 0.05g for the OBE appears to be quite conservative for the location of the STP, although the Consultants did not attempt to review in detail the seismology and tectonics of the region. For the magnitudes and distances considered, however, an acceleration of 0.07g at the site already is a conservative estimate for tne SSE.

Increasing it to 0. log in order to satisfy minimum requirements represents a substantial factor of safety.

e The time series of acceleration used for the SSI analyses have response spectra which are at or above the target spectra in the complete range of frequencies of interest, for all values of damping.

In ord. to comply with certain requirements on the f ree-field e

peak acceleration at the foundation of the deepest building and upon the response spectra at this elevation, the control motions were increased still further (up to 40%) above the just nentioned values. For most responte frequencies this requirement i

f introduces additional conservatism in the input motions.

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The approximate procedure f or assigning base motions to the l

e Liesel Generator Buildin3 and Fuel Handling duilding is definitely conservative.

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The heights of mr.ny of the peaks in the floor response spectra are conservatively high. This conservaticra results in part from l

mismatches between the natural frequencies of the approximate two-dimensional model for the structure as used in the finite I

element analysis and those for the more detailed three-dimensional model employed for the dynamic analysis of the building. Conservatism is also introduced in the approximations used in the process of accomplishing the analysis; e.g. use of conservative multipliers in the combination of floor response spectra obtained from analyses performed separately for each of the three directions.

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The spectral peaks for vertical motion caused by the vertical OBE appear to be somewbat too high. This conservatism resulted from using a thickness of soil in the finite element model which, while appropriate for the case of horizontal excitation, implies diminished radiation damping under vertical vibrations at frequencies less than about

  • Hz.

The afore mentioned effects are all the result of either deliberate cor.servatism or of using a conservative approximate method of analysis in lieu of a more exact analysis.

There were a number of other steps taken to cover the possible effects of uncertainty in various parameters. Among these steps were the broadening

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of the peaks of computed spectra and variation of the shear modulus of the soil by -40% and +30% from the expected value. These are prudent steps, which, f or a given control motion, are intended to ensure that actual response will not exceed the response used for design.

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The responses c.)mputed for f requencies in the range f rom about 1 Hz to about 3 Hz are nsc ae conservative as thos3 computed at other frequencies. The requirement of enveloping 60% of the control motion's response spectral ordinates is just met in this range and the cegulatory requirement is itself less conservative in this same range.

I There is one matter about which the Consultants are neutral with regard to conservatism.

Response of the actual 3-dimensional case as compared to the 2-e dimensional representation assumed in the analysis of soil-structure interaction.

This matter has already been discussed in Section 4.

On the one hand, the Consultants cannot prove that the responses to the specified earthquake might not be larger at some frequency than those computed in the 2-dimensional finite element analysis. On the other hand, we know of no arguments, observations or computed results which present compelling proof that the actual responses will be larger.

In this matter, the Consultants feel that there is not convincing evidence of conservatism.

This does not mean we feel the computed responses are unconservative. Given the current state of-knowledge we simply cannot be certain and further, we believe that the questions cannot be resolved at this time by further analysis. We are quite satisfied with the results adopted for purposes of design.

The Consultants have not identified any aspect of the analysis which is clearly unconservative to a significant degree I

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7.0 00N.CLUS10SS si kE Taking all considerations into account, the Consultants believe that the l

procedures used for analysis of soil structuru 1,teraction and dynamic analysis are appropriate for the STP, and - if implemented properly or conservatively should lead to forces and floor response spectra which are conservative for use in design.

Where computed results were examined in detail, they appeared to be either correct or conservative, suggesting appropriate implementation for at least those parts of the analysis.

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