From 46db9211cc120790529b0450e3611742e2353293 Mon Sep 17 00:00:00 2001 From: berkdemir Date: Sat, 18 Sep 2021 01:32:29 +0200 Subject: [PATCH] First Release --- BD_Hoek_Brown.py | 783 ++++++++++++++++++++++++++++++++++++++ images/2.png | Bin 0 -> 76285 bytes images/BDTunnelTools.png | Bin 0 -> 79454 bytes images/BrocherPoisson.png | Bin 0 -> 907124 bytes images/BrocherVSVP.png | Bin 0 -> 493658 bytes images/D.png | Bin 0 -> 650720 bytes images/GSI.png | Bin 0 -> 458439 bytes images/HBSummary.png | Bin 0 -> 66335 bytes images/favicon.ico | Bin 0 -> 34494 bytes images/mi.png | Bin 0 -> 149374 bytes images/pageicon.png | Bin 0 -> 61201 bytes 11 files changed, 783 insertions(+) create mode 100644 BD_Hoek_Brown.py create mode 100644 images/2.png create mode 100644 images/BDTunnelTools.png create mode 100644 images/BrocherPoisson.png create mode 100644 images/BrocherVSVP.png create mode 100644 images/D.png create mode 100644 images/GSI.png create mode 100644 images/HBSummary.png create mode 100644 images/favicon.ico create mode 100644 images/mi.png create mode 100644 images/pageicon.png diff --git a/BD_Hoek_Brown.py b/BD_Hoek_Brown.py new file mode 100644 index 0000000..042f2f9 --- /dev/null +++ b/BD_Hoek_Brown.py @@ -0,0 +1,783 @@ +""" +Hoek-Brown Calculation by Berk Demir +""" + +from math import exp, asin, degrees, sin, cos, radians, log10 +import pandas as pd +import numpy as np +from numpy import power as pow +import matplotlib.pyplot as plt +import streamlit as st +from PIL import Image + +favicon = Image.open("images/favicon.ico") + +st.set_page_config( + page_title="BD Hoek Brown", + page_icon=":pick:", + layout="wide", + initial_sidebar_state="expanded", +) + +a = st.sidebar +BD_im = Image.open("images/BDTunnelTools.png") +a.image(BD_im) + +class HoekBrown: + def __init__( + self, + UCS, + GSI, + mi, + D, + E_Method, + sigma3_method, + UW, + H, + MR=None, + Name="Rock", + Ei=None, + ): + self.UCS = UCS + self.GSI = GSI + self.mi = mi + self.D = D + self.E_Method = E_Method + self.sigma3_method = sigma3_method + self.UW = UW + self.H = H + self.MR = MR + self.Name = Name + self.Ei = Ei + self.HBParameters() + self.results = { + r"$m_b$": round(self.mb, 3), + r"$s$": round(self.s, 5), + r"$\alpha$": round(self.alpha, 3), + r"$\sigma_{cm}\/(MPa)$": round(self.sigmacm, 2), + r"$\sigma_{3}\/(MPa)$": round(self.sigma3, 2), + r"$\sigma_{t}\/(MPa)$": round(self.sigmat, 3), + r"$E_{rm}\/(MPa)$": round(self.Erm), + r"$c\/(kPa)$": round(self.c * 1000), + r"$\varphi\/(°)$": round(self.fi, 1), + } + + self.inputs = { + r" $UCS$ ": round(self.UCS,1), + r" $GSI$ ": round(self.GSI,0), + r" $m_i$ ": round(self.mi,0), + r" $D$ ": round(self.D,2), + r" $Modulus\/\/Calculation$ ": self.E_Method, + r" $\sigma_{3}\/\/Method$ ": self.sigma3_method, + } + + if self.UW != None: + self.inputs[r" $\gamma\/(kN/m^3)$ "] = self.UW + if self.H != None: + self.inputs[r" $Depth$ "] = self.H + if self.MR != None: + self.inputs[r" $MR$ "] = self.MR + self.HB_Figure() + + def HBParameters(self): + self.mb = self.mi * exp((self.GSI - 100) / (28 - 14 * self.D)) + self.s = exp((self.GSI - 100) / (9 - 3 * self.D)) + self.alpha = 0.5 + (exp(-self.GSI / 15) - exp(-20 / 3)) / 6 + self.sigmacm_calc() + self.sigmat_calc() + self.MC() + self.E_calc() + self.Additional_Parameters() + + def sigmacm_calc(self): + """ + Calculates rock mass strength (sigmacm) in MPa + """ + self.sigmacm = ( + self.UCS + * (self.mb + 4 * self.s - self.alpha * (self.mb - 8 * self.s)) + * pow(self.mb / 4 + self.s, self.alpha - 1) + / (2 * (1 + self.alpha) * (2 + self.alpha)) + ) + self.sigma3_calc() + + def sigma3_calc(self): + """ + Calculates lateral pressure (sigma3) in MPa. + """ + if self.sigma3_method == "Tunnel": + self.sigma3 = ( + 0.47 + * pow(self.sigmacm / (self.UW * self.H * 0.001), -0.94) + * self.sigmacm + ) + elif self.sigma3_method == "Slope": + self.sigma3 = ( + 0.72 + * pow(self.sigmacm / (self.UW * self.H * 0.001), -0.91) + * self.sigmacm + ) + elif self.sigma3_method == "General": + self.sigma3 = self.UCS / 4 + + def sigmat_calc(self): + """ + Calculates tensile strength (sigmat) in MPa. + """ + self.sigmat = -self.s * self.UCS / self.mb + + def MC(self): + """ + Calculates Mohr-Coulomb parameters c (in MPa) and fi (in deg). + """ + sigma3n = self.sigma3 / self.UCS + self.fi = ( + 6 + * self.alpha + * self.mb + * pow(self.s + self.mb * sigma3n, self.alpha - 1) + / ( + 2 * (1 + self.alpha) * (2 + self.alpha) + + 6 + * self.alpha + * self.mb + * pow(self.s + self.mb * sigma3n, self.alpha - 1) + ) + ) + self.fi = degrees(asin(self.fi)) + + self.c = ( + self.UCS + * ((1 + self.alpha * 2) * self.s + (1 - self.alpha) * self.mb * sigma3n) + * pow(self.s + self.mb * sigma3n, self.alpha - 1) + / ( + (1 + self.alpha) + * (2 + self.alpha) + * pow( + 1 + + ( + 6 + * self.alpha + * self.mb + * pow(self.s + self.mb * sigma3n, self.alpha - 1) + ) + / ((1 + self.alpha) * (2 + self.alpha)), + 0.5, + ) + ) + ) + + def E_calc(self): + """ + Calculates rock mass modulus in MPa. + """ + if self.E_Method == "Generalized Hoek & Diederichs (2006)": + if not self.Ei: + self.Ei = self.MR * self.UCS + self.Erm = self.Ei * ( + 0.02 + (1 - self.D / 2) / (1 + exp((60 + 15 * self.D - self.GSI) / 11)) + ) + elif self.E_Method == "Simplified Hoek & Diederichs (2006)": + self.Erm = 100000 * ( + (1 - self.D / 2) / (1 + exp((75 + 25 * self.D - self.GSI) / 11)) + ) + elif self.E_Method == "Hoek, Carranza-Torres, Corkum (2002)": + if self.UCS <= 100: + self.Erm = ( + 1000 + * (1 - self.D / 2) + * pow(self.UCS / 100, 0.5) + * pow(10, (self.GSI - 10) / 40) + ) + else: + self.Erm = 1000 * (1 - self.D / 2) * pow(10, (self.GSI - 10) / 40) + elif self.E_Method == "Yang (2006) / AASHTO": + if not self.Ei: + self.Ei = self.MR * self.UCS + self.Erm = self.Ei * 0.01 * exp(self.GSI / 21.7) + else: + self.Erm = None # User will change it manually by accessing self.Erm value. + + def Additional_Parameters(self): + + self.RMR = self.GSI + 5 + self.Q = pow(10, (self.RMR - 50) / 15) + self.VP = 3.5 + log10(self.Q * self.UCS / 100) + self.VS = ( + 0.7858 + - 1.2344 * self.VP + + 0.7949 * self.VP ** 2 + - 0.1238 * self.VP ** 3 + + 0.0064 * self.VP ** 4 + ) + self.add_parameters = { + "Shear Wave Velocity by Brocher 2005 (m/s)": round(self.VS * 1000), + "Poisson's Ratio by Brocher 2005": round( + 0.8835 + - 0.315 * self.VP + + 0.0491 * self.VP ** 2 + - 0.0024 * self.VP ** 3, + 2, + ), + "Shear Wave Velocity by Cha 2006 (m/s)": round( + (self.RMR + 10.021) / 0.0362 + ), + "Residual GSI by Alejano 2012": round(17.34 * exp(0.0107 * self.GSI), 1), + "Residual GSI by Cai 2007": round(self.GSI * exp(-0.0134 * self.GSI), 1), + "Dilation Angle by Alejano 2010 (°)": round( + self.fi * (5 * self.GSI - 125) / 1000, 1 + ), + "Poisson's Ratio by Aydan 1993": round( + 0.25 * (1 + exp(-0.2 * self.UCS)), 2 + ), + "Poisson's Ratio by Vasarhelyi 2009": round( + -0.002 * self.GSI - 0.003 * self.mi + 0.457, 2 + ), + "Unit Weight by Aydan 1993 (kN/m³)": round( + 10 * (1 + 0.8 * pow(self.UCS, 0.14)), 1 + ), + } + + def HB_Figure(self): + sigma3_array = np.linspace(self.sigmat, self.sigma3, 1000) + sigma1_array = sigma3_array + self.UCS * pow( + self.mb * sigma3_array / self.UCS + self.s, self.alpha + ) + sigma1_MC_array = 2 * self.c * cos(radians(self.fi)) / ( + 1 - sin(radians(self.fi)) + ) + (1 + sin(radians(self.fi))) * sigma3_array / (1 - sin(radians(self.fi))) + sigma1_MC_array[0] = 0 + sigma1_array[sigma1_array < 0] = 0 + + self.fig, ax = plt.subplots(dpi=300, figsize=(10, 5)) + + ax.plot(sigma3_array, sigma1_array, label="Hoek-Brown", color="black") + ax.plot(sigma3_array, sigma1_MC_array, label="Mohr-Coulomb Fit", color="red") + # ax.spines['left'].set_position('center') + ax.margins(0) + ax.set_title("Hoek Brown Analysis for " + self.Name, fontweight="bold") + ax.set_xlabel(r"$\sigma_3$ - Minor Stress (MPa)") + ax.set_ylabel(r"$\sigma_1$ - Major Stress (MPa)") + ax.plot([], [], ' ', label="github.com/berkdemir") + ax.legend(loc=4, fontsize="small") + ax.spines["left"].set_position("zero") + ax.spines["right"].set_color("none") + ax.spines["top"].set_color("none") + + ax.xaxis.set_ticks_position("bottom") + ax.yaxis.set_ticks_position("left") + ax.fill_between( + sigma3_array, sigma1_array, sigma1_MC_array, alpha=0.1, color="black" + ) + val1 = [i for i in self.results.keys()] + val2 = [r"$\mathbf{Results}$"] + val3 = [[i for i in self.results.values()] for r in range(1)] + table1 = ax.table( + cellText=val3, + rowLabels=val2, + colLabels=val1, + colLoc="center", + cellLoc="center", + rowLoc="center", + loc="bottom", + bbox=[0.1, -0.55, 0.85, 0.15], + ) + val4 = [i for i in self.inputs.keys()] + val5 = [r" $\mathbf{Inputs}$ "] + val6 = [[i for i in self.inputs.values()] for r in range(1)] + table2 = ax.table( + cellText=val6, + rowLabels=val5, + colLabels=val4, + colLoc="center", + cellLoc="center", + rowLoc="center", + loc="bottom", + bbox=[0.1, -0.35, 0.9, 0.15], + ) + + [t.auto_set_font_size(False) for t in [table1, table2]] + [t.set_fontsize(9) for t in [table1, table2]] + + table2.auto_set_column_width(col=list(range(len(self.inputs.keys())))) + table1.auto_set_column_width(col=list(range(len(self.results.keys())))) + + +def streamlitHoekBrown(): + st.subheader("Hoek Brown Analysis") + a = st.sidebar + + a.title("Information and Settings") + a.subheader("Settings:") + Name = a.text_input("Rock layer's name", value="Rock") + + + a.subheader("Theory:") + a.markdown("[Link for Notion Page](https://www.notion.so/zircon-minute-9f3/Hoek-Brown-Analysis-ccc794b81fd34143b99b397843d6e09f)") + + a.subheader("Interview with Evert Hoek:") + a.markdown("[Link for Interview](https://www.dropbox.com/s/xh0uo01wr5uu4d7/Hoek%20-%20Interview.pdf?dl=0)") + + a.subheader("Prepared By:") + a.write("Berk Demir - bdem@niras.dk") + + a.subheader("Reference:") + a.write("Following reference should be used for commercial or academical use.") + + a.markdown('Disclaimer: This is a personal project and not endorsed by any other parties. All responsibility with the use of this tool lies with the user. Proper QA should be performed to use in any project.', unsafe_allow_html=True) + + cols = st.beta_columns([1, 1, 2]) + + with cols[0]: + st.markdown("**General Parameters**") + UCS = st.number_input( + "Uniaxial Compressive Strength (MPa)", value=30.0, min_value=0.01 + ) + GSI = st.number_input( + "Geological Strength Index (GSI)", + value=60, + min_value=1, + max_value=100, + ) + mi = st.number_input("Material constant for intact rock", value=10, min_value=1) + D = st.number_input( + "Disturbance Factor", value=0.0, min_value=0.0, max_value=1.0 + ) + st.markdown("**Rock Mass Modulus Calculations**") + E_Method = st.selectbox( + "Calculation method", + ( + "Generalized Hoek & Diederichs (2006)", + "Simplified Hoek & Diederichs (2006)", + "Hoek, Carranza-Torres, Corkum (2002)", + "Yang (2006) / AASHTO", + ), + ) + if ( + E_Method == "Generalized Hoek & Diederichs (2006)" + or E_Method == "Yang (2006) / AASHTO" + ): + Ei_method = st.selectbox( + "Ei calculation method", ("Using MR (Modulus Ratio)", "Manual Input") + ) + if Ei_method == "Using MR (Modulus Ratio)": + MR = st.number_input("Modulus Ratio (Ei/UCS)", value=350, min_value=1) + Ei = None + else: + Ei = st.number_input( + "Intact modulus elasticity of rock", value=1000, min_value=1 + ) + MR = None + else: + MR = None + Ei = None + + with cols[1]: + st.markdown("**Equivalent Mohr-Coulomb Calculations**") + sigma3_method = st.selectbox( + "Lateral pressure calculation method", ("Tunnel", "Slope", "General") + ) + if sigma3_method != "General": + UW = st.number_input( + "Unit weight of rock (kN/m3)", value=23.5, min_value=1.0 + ) + H = st.number_input("Tunnel or slope depth (m)", value=30, min_value=1) + else: + UW = None + H = None + + st.markdown("**Additional Parameters**") + RockDict = { + "Agglomerate": { + "MR": 500, + "MRSTD": 100, + "Type": "Igneous", + "mi": 19, + "miSTD": 3, + }, + "Amphibolites": { + "MR": 450, + "MRSTD": 50, + "Type": "Metamorphic", + "mi": 26, + "miSTD": 6, + }, + "Andesite": { + "MR": 400, + "MRSTD": 100, + "Type": "Igneous", + "mi": 25, + "miSTD": 5, + }, + "Anhydrite": { + "MR": 350, + "MRSTD": 0, + "Type": "Sedimentary", + "mi": 12, + "miSTD": 2, + }, + "Basalt": { + "MR": 350, + "MRSTD": 100, + "Type": "Igneous", + "mi": 25, + "miSTD": 5, + }, + "Breccia-I": { + "MR": 500, + "MRSTD": 0, + "Type": "Igneous", + "mi": 19, + "miSTD": 5, + }, + "Breccia-S": { + "MR": 290, + "MRSTD": 60, + "Type": "Sedimentary", + "mi": 19, + "miSTD": 5, + }, + "Chalk": { + "MR": 1000, + "MRSTD": 0, + "Type": "Sedimentary", + "mi": 7, + "miSTD": 2, + }, + "Claystones": { + "MR": 250, + "MRSTD": 50, + "Type": "Sedimentary", + "mi": 4, + "miSTD": 2, + }, + "Conglomerates": { + "MR": 350, + "MRSTD": 50, + "Type": "Sedimentary", + "mi": 21, + "miSTD": 3, + }, + "Dacite": { + "MR": 400, + "MRSTD": 50, + "Type": "Igneous", + "mi": 25, + "miSTD": 3, + }, + "Diabase": { + "MR": 325, + "MRSTD": 25, + "Type": "Igneous", + "mi": 15, + "miSTD": 5, + }, + "Diorite": { + "MR": 325, + "MRSTD": 25, + "Type": "Igneous", + "mi": 25, + "miSTD": 5, + }, + "Dolerite": { + "MR": 350, + "MRSTD": 50, + "Type": "Igneous", + "mi": 12, + "miSTD": 3, + }, + "Dolomites": { + "MR": 425, + "MRSTD": 75, + "Type": "Sedimentary", + "mi": 9, + "miSTD": 3, + }, + "Gabbro": { + "MR": 450, + "MRSTD": 50, + "Type": "Sedimentary", + "mi": 27, + "miSTD": 3, + }, + "Gneiss": { + "MR": 525, + "MRSTD": 225, + "Type": "Metamorphic", + "mi": 28, + "miSTD": 5, + }, + "Granite": { + "MR": 425, + "MRSTD": 125, + "Type": "Igneous", + "mi": 32, + "miSTD": 3, + }, + "Granodiorite": { + "MR": 425, + "MRSTD": 125, + "Type": "Igneous", + "mi": 29, + "miSTD": 3, + }, + "Greywackes": { + "MR": 350, + "MRSTD": 0, + "Type": "Sedimentary", + "mi": 18, + "miSTD": 3, + }, + "Gypsum": { + "MR": 350, + "MRSTD": 0, + "Type": "Sedimentary", + "mi": 8, + "miSTD": 2, + }, + "Hornfels": { + "MR": 550, + "MRSTD": 150, + "Type": "Metamorphic", + "mi": 19, + "miSTD": 4, + }, + "Limestone (Crystalline)": { + "MR": 500, + "MRSTD": 100, + "Type": "Sedimentary", + "mi": 12, + "miSTD": 3, + }, + "Limestone (Micritic)": { + "MR": 900, + "MRSTD": 100, + "Type": "Sedimentary", + "mi": 9, + "miSTD": 2, + }, + "Limestone (Sparitic)": { + "MR": 700, + "MRSTD": 100, + "Type": "Sedimentary", + "mi": 10, + "miSTD": 2, + }, + "Marble": { + "MR": 850, + "MRSTD": 150, + "Type": "Metamorphic", + "mi": 9, + "miSTD": 3, + }, + "Marls": { + "MR": 175, + "MRSTD": 25, + "Type": "Sedimentary", + "mi": 7, + "miSTD": 2, + }, + "Metasandstones": { + "MR": 250, + "MRSTD": 50, + "Type": "Metamorphic", + "mi": 19, + "miSTD": 3, + }, + "Migmatite": { + "MR": 375, + "MRSTD": 25, + "Type": "Metamorphic", + "mi": 29, + "miSTD": 3, + }, + "Norite": { + "MR": 375, + "MRSTD": 25, + "Type": "Igneous", + "mi": 20, + "miSTD": 5, + }, + "Peridotite": { + "MR": 275, + "MRSTD": 25, + "Type": "Igneous", + "mi": 25, + "miSTD": 5, + }, + "Phyllites": { + "MR": 550, + "MRSTD": 250, + "Type": "Metamorphic", + "mi": 7, + "miSTD": 3, + }, + "Porphyries": { + "MR": 400, + "MRSTD": 0, + "Type": "Igneous", + "mi": 20, + "miSTD": 5, + }, + "Quartzites": { + "MR": 375, + "MRSTD": 75, + "Type": "Metamorphic", + "mi": 20, + "miSTD": 3, + }, + "Rhyolite": { + "MR": 400, + "MRSTD": 100, + "Type": "Igneous", + "mi": 25, + "miSTD": 5, + }, + "Sandstones": { + "MR": 275, + "MRSTD": 75, + "Type": "Sedimentary", + "mi": 17, + "miSTD": 4, + }, + "Schists": { + "MR": 675, + "MRSTD": 425, + "Type": "Metamorphic", + "mi": 12, + "miSTD": 3, + }, + "Shales": { + "MR": 200, + "MRSTD": 50, + "Type": "Sedimentary", + "mi": 6, + "miSTD": 2, + }, + "Siltstones": { + "MR": 375, + "MRSTD": 25, + "Type": "Sedimentary", + "mi": 7, + "miSTD": 2, + }, + "Slates": { + "MR": 500, + "MRSTD": 100, + "Type": "Metamorphic", + "mi": 7, + "miSTD": 4, + }, + "Tuff": { + "MR": 300, + "MRSTD": 100, + "Type": "Igneous", + "mi": 13, + "miSTD": 5, + }, + } + with st.beta_expander("Database for Different Rock Types"): + RockType = st.selectbox( + "Select the rock type. (Just write the letters to search.)", + list(RockDict.keys()), + ) + if ( + E_Method == "Generalized Hoek & Diederichs (2006)" + or E_Method == "Yang (2006) / AASHTO" + ): + st.markdown( + "**Modulus Ratio (MR): **" + + str(RockDict[RockType]["MR"]) + + " ± " + + str(RockDict[RockType]["MRSTD"]) + ) + st.markdown( + "**Material Constant for Intact Rock (mi): **" + + str(RockDict[RockType]["mi"]) + + " ± " + + str(RockDict[RockType]["miSTD"]) + ) + + + + with st.beta_expander("Design aids"): + st.markdown("*Click on the full size button at upper right corners to expand!*") + + col_im = st.beta_columns(3) + with col_im[0]: + GSI_im = Image.open("images/GSI.png") + st.image(GSI_im, caption="GSI Selection Chart") + with col_im[1]: + mi_im = Image.open("images/mi.png") + st.image(mi_im, caption="Mi Values from Literature") + with col_im[2]: + D_im = Image.open("images/D.png") + st.image(D_im, caption="Disturbance Factors for Various Applications") + + Rock = HoekBrown(UCS, GSI, mi, D, E_Method, sigma3_method, UW, H, MR, Name, Ei) + + with st.beta_expander("ICE"): + st.markdown( + "Index of Elastic Behaviour as described by Celeda & Bieniawski - Ground Characterization and Structural Analyses for Tunnel Design - 2020" + ) + D_tunnel = st.number_input("Tunnel diameter (m)", value=6.0) + RMR = st.number_input("Rock Mass Rating (RMR)", value=GSI) + K0 = st.number_input("Coefficient of lateral earth pressure", value=0.5) + if H == None: + H_tunnel = st.number_input("Tunnel depth (m)", value=30.0) + else: + H_tunnel = H + F = 1.3 - 0.55 * (D_tunnel - 6) / 8 + if K0 < 1: + ICE = (3704 * UCS * exp((RMR - 100) / 24) * F) / (3 - K0) / H_tunnel + else: + ICE = (3704 * UCS * exp((RMR - 100) / 24) * F) / (3 * K0 - 1) / H_tunnel + ICE = round(ICE) + st.markdown("**Index of Elastic Behaviour, ICE: **" + str(ICE)) + st.markdown("**Stress-Strain Behaviour:**") + if ICE >= 70: + if ICE > 130: + SSB = "Fully elastic" + else: + SSB = "Near elastic" + st.success("Stress-Strain Behaviour: " + SSB) + elif ICE >= 40: + SSB = "Moderate yielding" + st.info("Stress-Strain Behaviour: " + SSB) + else: + if ICE >= 15: + SSB = "Intense yielding" + else: + SSB = "Very intense yielding" + st.error(SSB) + + st.markdown("**Full face excavation:**") + if ICE >= 70: + st.success("Full face method can be applied since ICE > 70.") + else: + st.error("Full face method CANNOT be applied since ICE < 70.") + + st.markdown("**Steel arches:**") + if ICE >= 70: + st.success("Steel arches are not needed since ICE > 70.") + else: + st.error("Steel arches are needed since ICE < 70.") + + st.markdown("**Borehole stability for bolts:**") + if ICE >= 15: + st.success("Boreholes can be drilled with sufficient borehole stability.") + else: + st.error("Borehole stability cannot be ensured, collapse may occur.") + + with cols[2]: + st.write(Rock.fig) + + with cols[2]: + add_selection = st.selectbox( + "Additional Parameters", list(Rock.add_parameters.keys()) + ) + 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