See discussions, stats, and author profiles for this publication at: https://www.researchgate.net/publication/318217317 Numerical Simulation on the Dynamic Installation of the OMNI-Max Anchors in Clay Using a Fluid Dynamic Approach Conference Paper · June 2017 DOI: 10.1115/OMAE2017-61570 CITATIONS READS 11 659 2 authors: Jun Liu Zhang Yuqin Dalian University of Technology Dalian University of Technology 91 PUBLICATIONS 1,402 CITATIONS 5 PUBLICATIONS 43 CITATIONS SEE PROFILE All content following this page was uploaded by Jun Liu on 06 July 2017. The user has requested enhancement of the downloaded file. SEE PROFILE Proceedings of the ASME 2017 36th International Conference on Ocean, Offshore and Arctic Engineering OMAE2017 June 25-30, 2017, Trondheim, Norway OMAE2017-61570 NUMERICAL SIMULATION ON THE DYNAMIC INSTALLATION OF THE OMNI-MAX ANCHORS IN CLAY USING A FLUID DYNAMIC APPROACH Yuqin Zhang State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology Dalian, Liaoning, China Jun Liu State Key Laboratory of Coastal and Offshore Engineering, Dalian University of Technology Dalian, Liaoning, China K LA LB LF LPE LTF Ltip Ltail n sum su,ref tf v v0 WB WD wf z ߛሶ ߛሶ ୰ୣ τ τ0 η β ABSTRACT The OMNI-Max anchors, which are used as foundations for mooring deep-water offshore facilities, are raised recent years for their dynamically installation. ANSYS CFX 17.0 is a computational fluid dynamic (CFD) program, capable of simulating the dynamically installation process of the OMNIMax anchor. In the simulation, soft clay with linearly increasing shear strength is modeled as Eulerian fluid material. The clay is subjected to high shear strain rate during the dynamical installation procedure, hence the H-B model is proposed as it is applicable to a wide range of shear strain rate. Different anchor impact velocity levels are modeled to investigate their effects on the anchor final penetration depths. To improve the anchor impact velocity and final penetration depth, a booster, which is retrievable and renewable, is attached to the tail of the anchor. The results demonstrate that the anchor would achieve deeper penetration depth with the increase in impact velocity. Also the anchor with a booster could reach a deeper penetration depth than that of the single anchor owing to the increase of the anchor total energy. Keywords: dynamical installation; anchor; booster; numerical modeling; CFD NOMENCLATURE Cd drag coefficient DB booster diameter Dinner diameter of the subdomain DL diameter of the loading arm Dout diameter of the outer domain Dp anchor frontal projected area equivalent diameter de,t anchor tip embedment (final penetration) depth dt anchor tip penetration depth HP padeye height Hair initial height of the air domain Hinner height of the subdomain Hsoil initial height of the soil domain k shear strength gradient with depth viscosity consistency in the H-B model total anchor length booster length head fin length padeye length tail fin length booster tip length booster tail length power law index in the H-B model undrained shear strength at mudline reference undrained shear strength fin thickness anchor velocity anchor impact velocity booster dry weight anchor dry weight fin width depth below soil surface shear strain rate reference shear strain rate shear stress in the H-B model yield shear stress viscous property shear-thinning index INTRODUCTION The development of offshore oil and gas exploration industry from shallow to deep-water brings an associated requirement of new mooring systems. Suction caissons, suction embedded plate anchors (SEPLAs) [1] and dynamically installed anchors (DIAs) are available choices. Two kinds of DIAs have evolved recent years. Torpedo anchors are rocketshaped anchors with elliptical or conical tips and usually with zero to four fins towards the rear. The anchor is usually 12-17 m in length, 0.8-1.2 m in diameter and 230-1150 kN in dry weight [2]. The OMNI-Max anchor consists of three 1 Copyright © 2017 ASME computational efficiency [24]. This approach was also used to investigate the stability and anchor final embedment depth of torpedo anchors [26,27]. The CFD model is capable of modeling the installation from the release point to the final embedment depth and the transition from water to soil. Considering the features of the CFD approach, this study is intended to set up a model of the OMNI-Max anchor using ANSYS CFX, a commercial CFD software, to investigate the installation procedure in soil. As mentioned in the previous part, the centrifuge tests [19] and numerical simulation results [20] indicated a limited penetration depth in strong soil conditions and the anchor impact velocity was also limited. To improve the practicality of the anchor, different boosters are designed and attached at the rear of the anchor. The booster geometry is similar to the torpedo anchor owing to its relatively low drag coefficient, meaning less resistance during the installation. The assembly anchors (refer to OMNI-Max anchors with attached boosters) are also simulated in the present study to investigate the improvement of the penetration depth. In the simulation, soil is modeled as non-Newtonian Eulerian fluid material considering the shear strain rate effect. Different impact velocities of the anchor and assemblies are modeled and compared. Two different interface conditions between anchor and soil (fully rough and smooth) are selected to assess the effect of the friction applied during the penetration. intermittently discontinuous planes and a loading arm located near the front end. The OMNI-Max anchor has a relative small size, which is approximately 9.7 m in length, 3.0 m in width and height and weighs about 38 t [3]. Two stages are mainly involved in the dynamical installation procedure of DIAs: (a) free fall through water; and (b) dynamical penetration within seabed. The anchor impact velocity is one of the key factors in predicting the anchor final penetration depth which is directly related to the capacity of the anchor system. For a torpedo anchor the impact velocity could reach 35 m/s from a drop height of 50-100 m above the seabed [4]. While field installation of OMNI-Max anchor in the Gulf of Mexico (GoM) recorded the terminal velocity of 19 m/s corresponding to a fall distance of 30 m [5]. As for model tests [6], the free fall tests with a 1/15 scale anchor indicated the anchor terminal velocity was about 4.45 m/s. Numerical investigations conducted by Liu and Zhang [7] indicated the OMNI-Max anchor terminal velocity of 28 m/s and the impact velocity could reach 25 m/s with a drop height of 60-70 m. Shelton [3] recorded a terminal velocity of 23 m/s with an estimated drag coefficient of 0.65. It is obvious that the terminal velocity of OMNI-Max anchor is lower compared with torpedo anchor due to its large drag force, which may directly result in low penetration depth and capacity. Previous studies on the torpedo anchors including experiments, field tests and numerical simulations, are relatively mature. Centrifuge tests [8-12] were carried out to investigate the anchor dynamically installation procedure in normally consolidated (NC) clay and calcareous silt. Kim et al. [13, 14] and Liu et al. [15] simulated the anchor installation procedure using the Coupled Eulerial-Lagrangian (CEL) approach and considered both the soil shear strain dependency and the strain softening behavior. Investigations and experiences on OMNI-Max anchor are limited compared with the torpedo anchor. Experimental and numerical tests were carried out to study the anchor capacity and keying behavior [3, 16, 17], but studies on the penetration procedures are rare. Shelton et al. [3,18] and Zimmerman et al. [5] reported the field data of the dynamically installation of OMNI-Max anchors in the GoM, and the penetration depth ratio ranged 1.16-2.20 in normally consolidated (NC) clay [5]. A serial of 1/24 scale model penetration tests indicated the anchor final embedment depth ratio of approximately 1.5 [7, 18]. Centrifuge tests [19] in 1/200 scale indicated that the embedment depth ratio ranged 1.18-2.0 in kaolin clay with su=3+1.1z kPa and ranged 1.14-1.46LA in calcareous silt with su=3.3z kPa. Owing to the limitation in field and experiment tests, numerical simulation methods were developed. Kim et al. [20] and Liu et al. [15] applied CEL approach to investigate the effects of impact velocity, anchor weight, and soil strength on anchor final penetration depth. The simulation results showed that with an impact velocity of 20 m/s, the anchor final embedment was merely 1.13LA in the NC soil with su=10+3z kPa. The computational fluid dynamics (CFD) approach was initially used to simulate the submarine landslide [21, 22] and riser-seabed-water interaction [23-25]. CFD approach offers advantages over CEL by providing much improved NUMERICAL DETAILS CFX Model details The commercial software ANSYS 17.0 is used in the present study to simulate multiphase flow and fluid-structure interaction. In the CFX procedure, soil and air are modeled as Eulerian fluid materials. To improve computational efficiency, the installation procedure was modeled from the soil surface, with different impact velocities. The anchor simulated in the present study was simplified and its dimensions are shown in Figure 1 and listed in Table 1. Three different boosters were designed with almost the same shape but different weights and lengths (see Figure 2). The booster diameter, DB, is the same as the loading arm diameter, DL, and the mass of the three boosters are 0.5, 1.0 and 1.5 times the anchor weight, respectively. The booster is attached to the tail of the OMNI-Max anchor and retrieved after installation. Thus in practical engineering, the booster is an installation tool and can be reused. The kinetic energy and potential energy of the assembly anchor would be much improved and the anchor is expected to penetrate a deeper depth. Three fins may be attached at the tail of the booster to sustain the directional stability, but in this simulation no fin is simulated for simplification as presented in Figure 2(b). The streamline shaped boosters are designed trying to reduce the resistance during free-falling and penetration. Details of the boosters are presented in Figure 2 and Table 2. 2 Copyright © 2017 ASME set to 1 and the volume of air is 0, while it is opposite in the elements above the mudline. Figure 1. Schematic diagram of the OMNI-Max anchor and soil strength profile Table 1. OMNI-Max anchor details Description Padeye height Total anchor length Symbol HP LA Value 4.35m 9.05 m Head fin length Padeye length Tail fin length Fin width Fin thickness Anchor dry weight Anchor frontal projected area equivalent diameter LHF LPE LTF wF tF Wd 2.45 m 1.26 m 5.21 m 1.95 m 0.2 m 390 kN Dp 1.23 m Diameter of the loading arm DL 1.1 m Figure 2. Booster used in the simulation: (a) with three fins; (b) assembly anchor with finless booster Table 2. Booster dimensions Description Booster diameter, m Booster length, m Booster tip length, m Booster tail length, m Dry weight, kN Only half model was simulated due to the symmetry of the problem. A half cylinder is used to form the numerical domain with a diameter of 100 m (about 50wf , wf is the fin width) as shown in Figure 3. An inner subdomain, the shadow part in Figure 3(a), is created outside the anchor with a smaller half cylinder of 16 m in diameter. This subdomain method was used in simulating the riser-seabed interaction to improve computational efficiency and precision [23-25]. The size and shape of the mesh in the subdomain does not change with the anchor motion but those outside this domain might get distorted as the anchor moving downwards. The domain and subdomain heights are related to the heights of the assembly anchors (see Table 3). Anchor and boosters are defined as rigid body with their masses, initial velocities and other conditions predefined. The lower 90 m of the domain is filled with soil while the upper part is air. The water component could not be considered in CEL [15, 20] for dynamically installation problems. To compromise the CEL simulating results, the effect of water, therefore, was ignored in the present study. But this part may be considered in the forthcoming work. The anchor tip is located at the mudline initially, which is formed by defining the volume fraction of the materials using CFX Expression Language. In the elements below the mudline, the volume fraction of soil is Symbol DB LB Ltip Ltail WB Booster A 1.1 5.03 0.75 1.5 0.5Wd Booster B 1.1 8.92 0.75 1.5 1.0Wd Booster C 1.1 12.88 0.75 1.5 1.5Wd The mesh is formed using the pre-processing software ICEM CFD. Figure 3 depicts the unstructured tetrahedral mesh used in this simulation. By analyzing the mesh sensitivity, a very fine mesh size of 10 mm (tF/20, tF is the anchor fin thickness) for the anchor thickness direction and 20 mm (tF/10) for the lateral part is used for the simulation, considering the computational efficiency and precision. For the booster part, the minimum mesh size of 50 mm (DB/20) is used. The mesh size is increased with the distance from the rigid body. All the anchors′ and boosters′ surfaces are defined as walls, which are impermeable boundaries to Eulerian fluid materials. Symmetry boundaries are applied to all the symmetry surfaces of the anchor and domains with unspecified mesh motion option selected. The bottom and lateral surfaces of the outer domain are also defined as walls. No-slip boundary is applied to the bottom while free-slip boundary is applied to the lateral surface. An opening boundary is used for the top surface to allow air flow in and out alone. Different impact velocities of the OMNI-Max anchors were simulated. Owing to the field data [3, 5] and free-falling numerical simulation results [6], three different velocities of 15, 3 Copyright © 2017 ASME 20 and 25 m/s were selected. While for the assemblies, three velocities of 20, 25 and 30 m/s were simulated, considering the possible improvement of the impact velocity by adding boosters. Modeling of soil The anchor dynamical installation procedure is short thus the soil is under undrained condition. NC soil is modeled in the present simulation. As reported by Hossain et al. [9], the soil undrained strengths in the Campos Basin, Gjøa field and GoM are typically in range of 2-7 kPa at the mudline and the strength gradient of 1-3 kPa/m. A relatively strong soil strength profile is selected in the present simulation, with strength of 2.4 kPa (sum) at the surface and gradient (k) of 3 kPa/m, as shown in Figure 1. The Eulerian fluid material used to simulate soil is defined with a typical destiny of 1600 kg/m3. In CFX, the dynamic property of soil is modeled using H-B model (Herschel-Bulkley model). The H-B model in CFX is expressed in equation (1) as: 0 , for 0 (1) n 0 K , for 0 where τ0 is the yield shear stress, K is viscosity consistency, n is the power law index and τ is the shear stress. The shear strain rate effect reflecting the strength increase owing to the high strain rate of soil is also considered in the simulation. Kim et al. [13, 14] studied the dynamic installation of OMNI-Max anchor considering both strain rate and strain softening effects using CEL. The results demonstrated that the soil strain softening behavior had quite limited effect on anchor final penetration depth. Therefore, only strain rate effect is involved in the present study. And the strain rate effect is expressed in equation (2), as following: su,ref (2) su 1 ref 1 where su,ref is the shear strength at the reference shear strain rate of ref . In this simulation, su,ref = 2.4+3z kPa. The parameter η is a viscous property factor and β is the rate parameter. Values of these parameters have significant effects on the calculation results as discussed by Liu et al. [28]. Kim et al. [20] summarized these parameters used in previous studies. By back-figuring reported field data and centrifuge test data in clay, together with previous data, the values of η=1, ref =0.1 s-1 and β=0.1 were adopted in their simulation. Parameter analysis is not main point in the present study, so the same values are used to simulate the shear strain rate effect. Discussion on these parameter analysis may be conducted in the following works. Owing to the limitation in CFX, different value of τ0 cannot be defined. To best fit the expression in equation (2), the parameters in equation (1) were taken as τ0=979.94 Pa, K=1925.74+3427.07z Pa·s and n=0.0575, by back-figuring using equation (2) and parameters from Kim et al. [20]. The property of normally consolidated clay was simulated by setting the parameter K as a function of the depth (z). (a) (b) Figure 3. Typical mesh used in CFD analysis:(a) typical 3D domain and mesh; (b) mesh in the subdomain Table 3. Details of the domain dimensions (m) cases OMNI-Max anchor OMNI-Max anchor with booster A OMNI-Max anchor with booster B OMNI-Max anchor with booster C Dout 100 Hsoil 90 Dinner 16 Hair 54.05 Hinner 25.05 58.58 29.58 62.47 33.47 66.43 37.43 RUSULTS AND DISCUSSION Different cases were simulated to investigate the effects of impact velocity and booster on anchor final penetration depth. Two different boundary conditions (no-slip and free-slip conditions) were considered to show the effect of frictional 4 Copyright © 2017 ASME to the soil strength increasing linearly with depth as well as the shear strain rate effect. The results indicate that the anchor final penetration depth is limited in strong soil. For the impact velocity of 20 m/s, the OMNI-Max anchor could constrainedly get immerged in soil with the penetration depth of 9.01 m (0.996LA). But it could hardly get fully penetrated into the soil with a smaller impact velocity (15 m/s), considering a lower drop height through water. Kim et al. [20] also investigated the anchor performance in strong soil using CEL. For the soil strength of su=10+3z kPa, the final penetration depth was merely 1.13LA with an initial impact velocity of 20 m/s. But in the CEL simulation, frictional interface and strain-softening effect were considered and the embedment depth would be deeper compared with the present results. force acting on the anchor during the dynamically installation procedure. Mesh deformation During the anchor dynamically installation procedure, meshes outside the subdomain might get distorted as previously mentioned. Figure 4 presents the mesh deformation at the end of the installation. Compared with the initial condition (Figure 4 (a)), the finial mesh deformation mainly appears in the upper and lower part outside the subdomain. Meshes in the upper part would get stretched while the lower part get compressed due to the mesh motion. But meshes in the subdomain would not get changed and those around the subdomain get distorted slightly (see Figure 5). As mentioned by Howlader et al.[25], strains outside this subdomain are not very significant, therefore the mesh deformation would not significantly affect the simulation. 0 5 Anchor velocity, v: m/s 10 15 20 25 30 Tip penetration deption, dt : m ‐1 (a) (b) Figure 4. Mesh deformation in the simulation: (a) initial condition; (b) final condition ‐3 ‐5 ‐7 ‐9 no-slip condition 15m/s 20m/s 25m/s ‐11 Figure 6. Velocity-depth for OMNI-Max anchor with no-slip condition Compared with the anchor, the assembly anchor could achieve a deeper penetration depth because of the increase in total energy. Figure 7 shows the results of the assembly anchors with the same impact velocity of 20 m/s. The results suggest that the anchor final penetration depth exhibits an increase of 23.09%, 36.58% and 55.3% for the assembly anchors with three different boosters compared with that of the OMNI-Max anchor only. Figure 7 also indicates a longer acceleration procedure for the assembly anchor with a larger booster. Table 4 concludes the results of all the calculated cases. And a comparison is made between the anchor final penetration depths with different impact velocities and different boosters, with that of the base case (the final penetration depth of OMNIMax anchor with an impact velocity of 20 m/s). As it can be seen from Table 4 that the anchor final penetration depth of the assembly anchors could be much improved. The maximum improvement could reach 84.24% for the case of OMNI-Max anchor with booster C of 1.5 times anchor weight and an impact velocity of 30 m/s. But the no-slip boundary conditions used in this simulation would overestimate (a) (b) Figure 5. Mesh deformation in and around the subdomain: (a) initial condition; (b) final condition No-slip interface condition In this part, all the wall boundary conditions of OMNIMax anchor and boosters are no-slip. The material around would be attached to the anchor/booster surfaces and move together with the rigid body. In this simulation, three different impact velocities of 15, 20 and 25 m/s are simulated. The anchor velocity-final penetration depth curves for the anchors are shown in Figure 6. The anchor velocity would not decrease immediately due to the lower top soil resistance. But the acceleration trend is weakened for higher impact velocity. The velocity decreases rapidly as the anchor penetrates deeper due 5 Copyright © 2017 ASME Figure 8 presents the soil shear strain rate around the anchor with instantaneous velocity of 9.05 m/s and penetration depth of 9.17 m (with anchor initial impact velocity of 25m/s). The soil shear strain rate values at the anchor tip and corners of the loading arm are relatively high owing to complex changes of the configuration. For the lateral parts with smooth geometry (no tips or corners), the shear strain rate is relative low. the frictional force and result in a shallower penetration depth. Thus the benefits of the boosters could also be underestimated. 0 5 Anchor velocity, v: m/s 10 15 20 25 Tip penetration deption, dt : m 0 ‐5 Free-slip interface condition Cases of free-slip wall boundary of the anchor and boosters are studied to investigate the effect of the soil frictional force acting on anchor. As the anchor and booster surfaces are set as free-slip boundary, the material around the anchor could flow freely with no friction acting on the anchor surfaces. The assembly anchors and OMNI-Max anchor with an impact velocity of 20m/s were simulated and the results are also presented in Figure 7 and are listed in Table 5. The anchor final penetration depth experiences an increase of about 30% for the free-slip conditions compared with the on-slip ones, indicating that frictional force is a significant component during the anchor dynamically installation procedure. When the frictional force is not considered, the acceleration procedure after impacting the seabed would be more obvious, especially as a larger booster is applied. ‐10 anchor(free-slip) anchor with Booster A(free-slip) anchor with Booster B(free-slip) anchor with Booster C(free-slip) anchor(no-slip) anchor with Booster A(no-slip) anchor with Booster B(no-slip) anchor with Booster C(no-slip) ‐15 ‐20 Figure 7. Velocity-depth for OMNI-Max anchor and assemblies with impact velocity of 20 m/s Table 4. Conclusion of the penetration depth for no-slip wall boundary condition cases OMNI-Max anchor OMNI-Max anchor with booster A OMNI-Max anchor with booster B OMNI-Max anchor with booster C Impact velocity, v0 : m/s de,t/LA comparison 15 0.870 -12.65% 20 25 20 0.995 1.091 1.225 Base case 9.54% 23.08% 25 30 20 1.371 1.510 1.362 37.73% 51.72% 36.85% OMNI-Max anchor 25 30 20 1.509 1.682 1.546 51.61% 68.92% 55.27% OMNI-Max anchor 25 30 1.715 1.834 72.25% 84.24% Table 5. Results of the free-slip boundary condition cases OMNI-Max anchor with booster A with booster B OMNI-Max anchor with booster C de,t/LA de,t/LA (no-slip) (free-slip) 0.995 1.210 21.53% 1.225 1.566 27.77% 1.362 1.814 33.17% 1.546 2.051 32.67% comparison Anchor impact velocity, v0: m/s 10 20 30 40 0.5 de,t/LA 1 anchor (no-slip) anchor with booster A (no-slip) 1.5 anchor with booster B (no-slip) anchor with booster C (no-slip) anchor (free-slip) 2 anchor with booster A (free-slip) anchor with booster B (free-slip) anchor with booster C (free-slip) 2.5 Figure 8. Soil shear strain rate for the OMNI-Max anchor with instantaneous velocity of 9.05 m/s Figure 9. Final embedment depth of different assemblies and velocities 6 Copyright © 2017 ASME penetration depth increased with the increase in the impact velocity and the booster mass. The maximum increase of anchor penetration depth could reach 84.24% compared with the OMNI-Max anchor with an impact velocity of 20 m/s. Effect of soil strain rate was considered, however only noslip and free-slip boundary conditions were available. The noslip condition overestimated the frictional force and resulted in a shallower anchor penetration depth, while the free-slip condition neglected all this part of force. These two kinds of boundary conditions were simulated and compared. Results of free-slip cases suggest an increase of 21.53%-32.67% in anchor penetration depth compared with that of no-slip conditions. Despite the overestimate of friction, the benefit of the booster was still obvious. In the following study, the influence of friction should be taken into account and simulated exactly. Figure 9 summarizes the anchor final penetration depths of all the cases in the present study. The results show a slight increase in the final penetration depth with the velocity but more obvious trend with the booster mass. This indicates that for both kinds of boundary conditions, the boosters could significantly increase the anchor penetration depth. Figure 10 shows the soil velocity vector at different embedment depths for the two boundary conditions with the same initial impact velocity of 20 m/s. For the no-slip condition, most of the soils around the anchor flow downwards, while the flow direction is perpendicular to the anchor surface for the free-slip condition owing to the ignorance of the frictional force. CONCLUSIONS The dynamical installation procedure of OMNI-Max anchor was investigated using CFX method in the present study. Owing to the limited anchor penetration depth in strong soil, three boosters with different weights were designed to increase the anchor penetration depth. The effects of impact velocity and booster on the anchor final penetration depth were investigated and the efficiency of booster was highlighted. The ACKNOWLEDGMENTS This research was supported by the National Natural Science Foundation of China (51479027, 51539008). (a) (b) Figure 10. Instantaneous soil velocity vectors with anchor embedment: (a) free-slip condition; (b) no-slip condition [3] Shelton, J.T., 2007, "OMNI-Max Anchor Development and Technology," Proceedings of the 2007 Oceans Conference, Vancouver, B.C, Canada, pp. 1990-1999. [4] Hossain, M.S., O'Loughlin, C.D., and Kim, Y., 2015, "Dynamic Installation and Monotonic Pullout of A Torpedo Anchor in Calcareous Silt," Géotechnique, 65(2), pp.1-14. [5] Zimmerman, E.H., Smith, M.W., and Shelton, J.T., 2009, "Efficient Gravity Installed Anchor for Deepwater Mooring," Proceedings of the 41st Annual Offshore Technology Conference, Houston, Texas, Paper No. OTC20117. 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